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physics
electricity and magnetism

College Physics 7th edition Jerry D. Wilson, Anthony J. Buffa, Bo Lou - Solutions

1. A mechanic is testing a transformer that increases voltage from 110 V to 3000 V. If the primary coil has 150 turns, how many turns are in the secondary coil?2. A construction site generator has a transformer with 175 turns in the primary coil and 750 turns in the secondary coil. If it has a
Find the inductive reactance (in ohms) of each inductance at the given frequency.1. L = 3.00 mH, f = 60.0 Hz2. L = 20.0 mH, f = 75.0 Hz3. L = 70.0 mH, f = 10.0 kHz4. L = 8.00 mH, f = 8.00 kHz5. What is the inductive reactance (in ohms) of a 425-µH inductance at a frequency of 15.0 MHz?6. Find the
Find the current (in amperes) in each inductive circuit.1. L = 30.0 mH, f = 125 Hz, E = 14.0 V2. L = 1.00 mH, f = 125 kHz, E = 145 V3. L = 5.00 mH, f = 2.00 kHz, E = 50.0 V4. L = 30.0 mH, f = 7.00 MHz, E = 75.0 V5. Find the current (in amperes) in an inductive circuit where L = 72.0 µH, f =
For a circuit with R = 200 Ω, L = 10.0 mH, and f = 1.25 kHz(a) Find the impedance (in ohms), (b) Find the phase angle,(c) Find the current if the voltage is 45.0 V.
For a circuit with R = 12.0 Ω, L = 1.00 mH, and f = 900 Hz:(a) Find the impedance (in ohms), (b) Find the phase angle, (c) Find the current if the voltage is 10.0 V.
For a circuit with R = 1.00 kΩ, L = 50.0 mH, and f = 10.0 kHz:(a) Find the impedance (in ohms), (b) Find the phase angle, (c) Find the current if the voltage is 15.0 V.
For a circuit with resistance 2.00kΩ, inductance 70.0 mH, and frequency 5.00 kHz:(a) Find the impedance (in ohms),(b) Find the phase angle(c) Find the current if the voltage is 12.0 V.
For a circuit with resistance 300Ω inductance 2.00mH and frequency 3.00 kHz:(a) Find the impedance (in ohms),(b) Find the phase angle,(c) Find the current if the voltage is 6.00 V.
Find the capacitive reactance (in ohms) in each ac circuit.1. C = 20.0 µF, f = 1.00 kHz2. C = 7.00 mF, f = 100 Hz3. C = 0.600 µF, f = 0.100 kHz4. C = 30.0 mF, f = 2.50 MHz5. C = 0.800 µF, f = 0.250 MHz
1. Find the capacitive reactance of a 15.0-µF capacitor in a circuit of frequency 60.0 Hz.2. Find the capacitive reactance of a 45.0-µF capacitor in a circuit of frequency 60.0 kHz.3. Find the capacitive reactance of a 6.00-mF capacitor in a circuit of frequency 100Hz.4. Find the capacitive
For an ac circuit with R = 1.00 kΩ, C = 1.00µF, E = 100 V and f = 100 Hz:(a) Find the impedance (in ohms)(b) Find the phase angle(c) Find the current.
For an ac circuit with R = 375 Ω, C = 5.00 µF, E = 20.0 V and f = 1.00 kHz:(a) Find the impedance (in ohms),(b) Find the phase angle(c) Find the current.
For an ac circuit with R = 4.80 kΩ, C = 45.0 µF, E = 15.0 V and f = 1.75 kHz:(a) Find the impedance (in ohms), (b) Find the phase angle(c) Find the current.
For an ac circuit with resistance 145 mΩ, capacitance 10.0 µF, frequency 72.5 kHz, and E = 7.00 mV:(a) Find the impedance (in ohms),(b) Find the phase angle,(c) Find the current.
For an ac circuit with resistance 10.0 mΩ, capacitance 5.00 µF, frequency 10.0 kHz, and E = 15.0 mV: (a) Find the impedance (in ohms), (b) Find the phase angle,(c) Find the current.
Find the impedance and current in each ac circuit.R = 25.0Ω, L = 50.0 mH, C = 50.0 µF, f = 60.0 Hz, E = 5.00 V
Find the impedance and current in each ac circuit.R = 225Ω, L = 10.0 mH, C = 0.200 µF, f = 1.00 kHz, E = 15.0 V
Find the impedance and current in each ac circuit.R = 1.00 kΩ, L = 10.0 mH, C = 30.0 mF, f = 10.0 kHz, E = 15.0 V
Find the impedance and current in each ac circuit.R = 1.00 kΩ, L = 0.700 H, C = 30.0 µF, f = 60.0 Hz, E = 8.00 V
A circuit contains a 150-Ω resistance, a 35.0-μF capacitor, and a 0.600-H inductance in series with a 6.00-V, 120-Hz source. Find the impedance and the current.
A circuit contains a 225-Ω resistance, a 5.00-μF capacitor, and a 0.550-H inductance in series with a 7.50-V, 60.0-Hz source. Find the impedance and the current.
A circuit contains a 175-Ω resistance, a 4.50-μF capacitor, and a 0.735-H inductance in series with a 5.00-V, 100-Hz source. Find the impedance and the current.
A circuit contains a 575-Ω resistance, a 100-μF capacitor, and a 0.400-H inductance in series with a 100-V, 600-Hz source. Find the impedance and the current.
A circuit contains a 450-Ω resistance, a 35.0-μF capacitor, and a 45.0-mH inductance in series with a 25.0-V, 1.00-kHz source. Find the impedance and the current.
A circuit contains a 375-Ω resistance, a 500-μF capacitor, and a 0.500-H inductance in series with a 55.0-V, 500-Hz source. Find the impedance and the current.
Find the resonant frequency in each ac circuit.1. L = 1.00 μH and C = 4.00 μF2. L = 2.00 μH and C = 35.0 μF3. L = 2.50 μH and C = 7.00 μF4. L = 2.65 μH and C = 35.0 μF5. L = 42.5 μH and C = 40.0 μF
1. Find the resonant frequency of a circuit containing a 25.0-μF capacitor in series with a 75.0-μH inductor.2. Find the resonant frequency of a circuit containing a 33.0-μF capacitor in series with a 43.5-μF inductor.3. Find the resonant frequency of a circuit containing a 10.0-μF capacitor
1. Find the actual power produced by a generating station that produces 12,600 kVA with a power factor of 0.850.2. A generating station operates with a power factor of 0.910. What actual power is available on the transmission lines if the apparent power is 12,800 kVA?3. Find the apparent power
1. Find the actual power produced by a generating station that produces 23,800 kVA with a power factor of 0.810.2. A generating station operates with a power factor of 0.840. What actual power is available on the transmission lines if the apparent power is 13,500 kVA?3. Find the apparent power
1. What is the maximum voltage in a circuit when the instantaneous value of the voltage is 95.4 V at θ = 62°?2. If the maximum ac voltage on a line is 185 V, what is the instantaneous voltage at θ = 41°?3. If the maximum ac voltage on a line is 175 V, what is the instantaneous voltage at θ =
A step-up transformer on a 115-V line provides a voltage of 2050 V. (a) If the primary coil has 75.0 turns, how many turns does the secondary coil have? (b) If there is a current of 4.55 A in the primary coil, what is the current in the secondary?(c) Find the power in the primary coil.
An inductance of 48.0 mH is connected in series with a lamp with resistance 23.0Ω. This circuit is connected to a 115-V, 60.0-Hz power supply. (a) What is the current in the circuit? (b) What is the phase angle? (c) What is the voltage drop across the inductance?
A lamp with resistance 47.5Ω is connected in series with an inductance of 43.2 mH. This circuit is connected to a 115-V, 60.0-Hz power supply. (a) What is the current in the circuit? (b) What is the phase angle? (c) What is the voltage drop across the resistance?
(a) What current will flow in a 60.0-Hz ac series circuit that includes a 110-V source, a 19.5-Ω resistor, and a 57.4-μF capacitor? (b) What is the phase angle? (c) What is the voltage across the resistor? (d) What is the voltage across the capacitor?
A 21.6- resistor and a 38.5µ- capacitor are connected in series with a 60.0-Hz ac source with a voltage of 110-V.(a) What is the current in the circuit? (b) What is the voltage across the capacitor? (c) What is the phase angle?
A circuit contains a 175-Ω resistance, a 2.50μF capacitor, and a 62.0-mH inductance in series with a 110-V, 60.0-Hz source. Find the impedance and the current.
A circuit contains a 115-Ω resistance, a 35.0μF capacitor, and a 65.0-mH inductance in series with a 110-V, 60.0-Hz source. Find the impedance and the current.
(a) Find the resonant frequency of a circuit containing a 7.50-μF capacitor in series with a 3.70-μH inductance, a 633-Ω resistor, and a 110-V, 60.0-Hz source. (b) Find the impedance and the current.
(a) Find the resonant frequency of a circuit containing a 4.70-μF capacitor in series with a 4.50-μH inductance, a 25.0-Ω resistor, and a 110-V 60.0-Hz source.(b) Find the impedance and the current.
Find the apparent power produced by a generating station whose actual power is 2,900,000 kW and whose power factor is 0.850.
1. Which of the following describes alternating current electricity?(a) It can be produced by rotating a loop of wire through a magnetic field.(b) It flows in one direction for a period of time and then reverses direction.(c) It goes through one cycle when it flows in one direction and then
1. Explain the difference between maximum voltage and instantaneous voltage.2. Explain how power in an ac circuit is related to voltage and current.3. Explain how power in an ac circuit is related to voltage and resistance.4. If the number of turns in the secondary coil of a transformer is doubled,
1. Discuss the importance of inductive reactance.2. How does the inductive reactance depend on frequency?3. Does the current lead or lag the voltage in an inductive circuit?4. Describe how energy is stored in a capacitor. How can the stored energy be used?5. Does the current lead or lag the voltage
1. How does the reactance of a capacitor depend on frequency?2. Discuss the condition that leads to resonance.3. What is the function of a diode in a circuit?4. Explain the difference between amplification and rectification.5. Is the phase angle always constant in a circuit containing resistive,
A ship’s compass is mistakenly placed 8.35 cm away from a wire carrying a current of 8.25 A.(a) What is the strength of the wire’s magnetic field on the compass?(b) The strength of the earth’s magnetic field is 5.20 x 10–5 T. How far from the wire must the compass be mounted so that it only
Figure shows a compass near a current-carrying wire.(a) What is the strength of the magnetic field when the compass needle is placed 1.03 cm under the wire? Assume the voltage of the battery is 6.00 V and the resistance of the wire is 15.0Î©. (b) Compare the strength of the
1. A coaxial cable consists of an inner conducting wire encased in an insulating material surrounded by a conducting metal braid and another insulating sheath. The inner wire carries current in one direction, while the outer braid carries current in the opposite direction. Using
A copper wire 20.0 m long with radius 4.57 x 10–3 m and ρ = 1.72 x 10–8 Ω cm is used to form a solenoid that will produce a magnetic field.(a) What is the wire’s resistance?(b) If the wire is connected to a 4.50-V battery, what is the current that passes through the wire?(c) If the solenoid
A power line runs north–south carrying 675 A and is 5.00 m above a transit used by a surveyor. (a) What is the magnetic field at the transit because of the power-line current?(b) If the earth’s horizontal component of magnetic field is 5.20 x 10–5T, what error is introduced in the
1. Find the magnetic field at 0.350 m from a long wire carrying a current of 3.00 A.2. Find the current in a wire if the magnetic field is 3.50 x 10–6 T at a distance of 2.50 m from the wire.3. A solenoid has 1000 turns of wire, is 0.320 m long, and carries a current of 5.00 A. What is the
1. A solenoid has 2500 turns of wire and is 0.200 m long. What current is required to produce a magnetic field of 0.100 T at the center of the solenoid? Assume that its length is long in comparison with its diameter.2. A long solenoid has 1000 turns and is 0.250 m long. If the wire carries a
1. Find the magnetic field at 0.255 m from a long wire carrying a current of 1.38 A.2. Find the magnetic field at 0.365 m from a long wire carrying a current of 8.95 A.3. What is the current in a wire if the magnetic field is 4.75 x 10–6T at a distance of 1.75 m from the wire?4. A solenoid has
A power line running north–south carrying 500 A is 7.00 m above a transit used by a surveyor. What error is induced in the compass used by the surveyor? (Assume the earth’s horizontal component of magnetic field is 5.20 x 10–5 T.)
1. The presence of a magnetic force field may be detected by using(a) A compass. (b) Iron filings.(c) A magnet. (d) All of the above.2. The deflection of a compass needle placed near a current-carrying wire shows(a) The magnetic field of the sun. (b) The magnetic field of the wire.(c) The electric
1. Describe how to determine the direction of a magnetic field in a solenoid.2. Describe how a magnetic field is induced by a current-carrying coil surrounding a core of magnetic material.3. Describe how a generator produces current.4. Describe the function of a commutator.5. Describe how a motor
1. What is a synchronous motor, and how does it work?2. Distinguish between a universal motor and an induction motor.3. Distinguish between an armature and a stator.4. Describe how an electromagnet works.5. If the current in a solenoid is increased by a factor of 2, how does the magnetic field
1. If the radius of a solenoid decreases by a factor of 2, how does the magnetic field change?2. If the number of turns per inch in a solenoid were increased by a factor of 4, how would the magnetic field change?3. Describe how to find the flux lines near a bar magnet.4. How is alternating current
Two point charges are initially separated by a distance d. Suppose the charge of one is increased by twenty seven times while the charge of the other is reduced to one-third its initial value. What would their separation distance have to be changed to in order to keep the force between them the
A small charged object is placed and held just above the positive end of an electric dipole. The dipole starts to accelerate downward when released. (a) What is the sign of the charge on the object? (b) What would happen to the dipole if this same charged object were held just below the negative
Explain clearly why electric field lines can never cross.
A positive charge is inside an isolated metal spherical shell, as shown in Fig. 15.24. Describe the electric field in the following three regions: between the charge and the inside surface of the shell, inside the shell itself, and outside the outer shell surface. What is the sign of the charge on
(a) Could the electric field due to two identical negative charges ever be zero at some location(s) nearby? Explain. If your answer is yes, describe and sketch the situation. (b) How would your answer change if the charges were equal but oppositely charged? Explain.
A large square (finite size) flat plate is uniformly positively charged and in the horizontal plane. Determine the direction of the electric field at the following locations: (a) Just above the center of the plate, (b) Just off any edge of the plate and in the same horizontal plane as the plate,
Sketch the electric field line pattern that results when a metal slab is placed between a pair of closely spaced, equal (but oppositely charged) parallel plates. (Assume the slab has the same area as the plates and is oriented in their plane, but does not touch them.)
Repeat the previous question, but this time insert a solid small metal sphere into the middle of the plate region. In previous question, Sketch the electric field line pattern that results when a metal slab is placed between a pair of closely spaced, equal (but oppositely charged) parallel plates.
Fuel trucks often have metal chains reaching from their frames to the ground. Why is this important?
Explain carefully the steps you would use to create an electroscope that is positively charged by induction. After you are done, suppose a charged object was brought near the top of the electroscope and the leaves collapsed. What is the sign of the charge on this object?
Two point charges initially exert an electric force of magnitude F on one another. Suppose the charge of one was doubled and that of the other was tripled. What would be the new force between them in terms of F? Explain your reasoning.
Two nearby electrons would fly apart if released. How could you prevent this by placing a single charge in their neighborhood? Explain clearly what the sign of the charge and its location would have to be.
What is the net charge of an object that has 1.0 million excess electrons?
In a certain organic molecule, the nuclei of two carbon atoms are separated by a distance of 0.25 nm. What is the magnitude of the electric force between them?
An electron and a proton are separated by 2.0 nm. (a) What is the magnitude of the force on the electron? (b) What is the net force on the system?
Two charges originally separated by a certain distance are moved farther apart until the force between them has decreased by a factor of 10. (a) Is the new distance (1) less than 10, (2) equal to 10, or (3) greater than 10 times the original distance? Why? (b) If the original distance was 30 cm,
Two charges are brought together until they are 100 cm apart, causing the electric force between them to increase by a factor of exactly 5. What was their initial separation distance?
The distance between neighboring singly charged sodium and chlorine ions in crystals of table salt (NaCl) is 2.82 x 10-10 m. What is the attractive electric force between the ions?
Two charges, q1 and q2, are located at the origin and at (0.50 m, 0), respectively. Where on the x-axis must a third charge, q3, of arbitrary sign be placed to be in electrostatic equilibrium if (a) q1 and q2 are like charges of equal magnitude, (b) q1 and q2 are unlike charges of equal
Two negative point charges are separated by 10.0 cm and feel a mutual repulsive force of 3.15 μN. The charge of one is three times that of the other. (a) How much charge does each have? (b) What would be the force if the total charge were instead equally distributed on both point charges?
An electron is placed on a line connecting two fixed point charges of equal charge but opposite sign. The distance between the charges is 30.0 cm and the charge of each is 4.50 pC. (a) Compute the force on the electron at 5.0-cm intervals starting 5.0 cm from the leftmost charge and ending 5.0 cm
Three charges are located at the corners of an equilateral triangle, as depicted in Fig. 15.26. What are the magnitude and the direction of the force on q1?
Four charges are located at the corners of a square, as illustrated in Fig. 15.27. What are the magnitude and the direction of the force(a) On charge q2 and (b) On charge q4?
In walking across a carpet, you acquire a net negative charge of 50μC. How many excess electrons do you have?
Two 0.10-g pith balls are suspended from the same point by threads 30 cm long. (Pith is a light insulating material once used to make helmets worn in tropical climates.) When the balls are given equal charges, they come to rest 18 cm apart, as shown in Fig. 15.28. What is the magnitude of the
(a) If the distance from a charge is doubled, is the magnitude of the electric field (1) increased, (2) decreased, or (3) the same compared to the initial value? (b) If the original electric field due to a charge is 1.0 x 10-4 N/C, what is the magnitude of the new electric field at twice the
An electron is acted on by an electric force of 3.2 x 10-14N. What is the magnitude of the electric field at the electron’s location?
An electron is acted on by two electric forces, one of 2.7 x 10-14 N acting upward and a second of 3.8 x 10-14 N acting to the right. What is the magnitude of the electric field at the electron’s location?
What are the magnitude and direction of the electric field at a point 0.75 cm away from a point charge of +2.0pC?
At what distance from a proton is the magnitude of its electric field 1.0 x 105 N/C?
Two fixed charges, - 4.0 μC and -5.0 μC, are separated by a certain distance. (a) Is the net electric field at a location halfway between the two charges (1) directed toward the – 4.0 μC charge, (2) zero, or (3) directed toward the – 5.0 μC charge? Why? (b) If the charges are separated by
What would be the magnitude and the direction of an electric field that would just support the weight of a proton near the surface of the Earth? What about an electron?
Two charges, – 3.0 μC and – 4.0 μC are located at (-0.50 m, 0) and (0.50 m, 0), respectively. There is a point on the x-axis between the two charges where the electric field is zero. (a) Is that point (1) left of the origin, (2) at the origin, or (3) right of the origin? (b) Find the
Three charges, +2.5μC, – 4.8 μC, and – 6.3μC, are located at (-0.20 m, 0.15 m), (0.50 m, -0.35m), and (-0.42m, -0.32m) respectively. What is the electric field at the origin?
An alpha particle is the nucleus of a helium atom with no electrons. (a) What would be the charge on two alpha particles? (b) How many electrons would you need to add to make an alpha particle into a helium atom?
Two charges of + 4.0μC and + 9.0μC are 30 cm apart. Where on the line joining the charges is the electric field zero?
What is the electric field at the center of the triangle in Fig. 15.26?
Compute the electric field at a point midway between charges q1 and q2 in Fig. 15.26.
What is the electric field at the center of the square in Fig. 15.27?
A particle with a mass of 2.0 x 10-5 kg and a charge of +2.0 μC is released in a (parallel plate) uniform horizontal electric field of 12 N/C. (a) How far horizontally does the particle travel in 0.50 s? (b) What is the horizontal component of its velocity at that point? (c) If the plates are
Two very large parallel plates are oppositely and uniformly charged. If the field between the plates is 1.7 x 106 N/C, (a) How dense is the charge on each plate (in )? (b) How much total charge is on each plate if they are 15.0 cm on a side?
Two square, oppositely charged conducting plates measure 20 cm on each side. The plates are close together and parallel to each other. They each have a total charge of +4.0nC and – 4.0nC, respectively. (a) What is the electric field between the plates? (b) What force is exerted on an electron

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