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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

Two resistors, of 4.00 Ω and 12.0 Ω, are connected in parallel across a 22-V battery having internal resistance 1.00 Ω. Compute (a) The battery current, (b) The current in the 4.00-Ω
Three resistors, of 40 Ω, 60 Ω, and 120 Ω, are connected in parallel, and this parallel group is connected in series with 15 Ω in series with 25 Ω. The whole system is then connected to a 120- V
What shunt resistance should be connected in parallel with an ammeter having a resistance of 0.040 Ω so that 25 percent of the total current will pass through the ammeter?
A 36-Ω galvanometer is shunted by a resistor of 4.0 Ω. What part of the total current will pass through the instrument?
A relay having a resistance of 6.0 Ω operates with a minimum current of 0.030 A. It is required that the relay operate when the current in the line reaches 0.240 A. What resistance should be used to
For the circuit shown in Fig. 28-13, find the current through each resistor and the potential drop across each resistor. + 240 V 20 Ω 75 Ω Μ αλλα Fig. 28-13 300 Ω
Show that if two resistors are connected in parallel, the rates at which they produce thermal energy vary inversely as their resistances.
For the circuit shown in Fig. 28-14, find (a) Its equivalent resistance; (b) The current drawn from the power source; (c) The potential differences across ab, cd, and de; (d) The current in each
It is known that the potential difference across the 6.0-Ω resistance in Fig. 28-15 is 48 V. Determine (a) The entering current I, (b) The potential difference across the 8.0-Ω resistance, (c)
In the circuit shown in Fig. 28-16, 23.9 calories of thermal energy are produced each second in the 4.0-Ω resistor. Assuming the ammeter and two voltmeters to be ideal, what will be their readings?
For the entire circuit shown in Fig. 28-17, find (a) The equivalent resistance; (b) The currents through the 5.0-Ω, 7.0-Ω, and 3.0-Ω resistors; (c) The total power delivered by the battery to
In the circuit shown in Fig. 28-18, the ideal ammeter registers 2.0 A. (a) Assuming XY to be a resistance, find its value. (b) Assuming XY to be a battery (with 2.0-Ω internal resistance) that is
The Wheatstone bridge shown in Fig. 28-19 is being used to measure resistance X. At balance, the current through the galvanometer G is zero and resistances L, M, and N are 3.0 Ω, 2.0 Ω, and 10 Ω,
The slidewire Wheatstone bridge shown in Fig. 28-20 is balanced (refer back to Problem 28.36) when the uniform resistive slide wire AB is divided as shown. Find the value of the resistance X.Problem
Referring to the circuit in Fig. 28-21, determine (a) The equivalent resistance, (b) The current that flows through R5, (c) The current that flows through R1, (d) The current that flows through
Referring to the circuit in Fig. 28-22, determine (a) The equivalent resistance between terminals A and B. If a 15.0-V dc power supply were placed across A and B, (b) How much current would flow
Find the currents in the circuit shown in Fig. 29-1. d 7.09 + 6.0 V + b 13 5.02 싸 Fig. 29-1 + 4.0 V + 8.0 V 812
For the circuit shown in Fig. 29-2, find I1, I2, and I3 if switch S is(a) Open and (b) Closed. C 12.0 V + 7.02 b 5 4.0 2 Fig. 29-2 9.0 V + 8.02 d 2
Each of the cells shown in Fig. 29-3 has an emf of 1.50 V and a 0.075 0-Ω internal resistance. Find I1, I2, and I3. ₁ b WWW The M 3.0 92 Fig. 29-3 13
A minute conducting sphere carrying 4.0 × 109 electrons travels at 500 m/s in and perpendicular to a 1.50-T magnetic field. What is the magnitude of the force on the sphere?
A proton is traveling at 200 m/s in the negative x-direction. There is a 2.00-T magnetic field in the negative y-direction. Determine the force on the proton.
A proton is traveling at 400 m/s in the negative z-direction. There is a 1.50-T magnetic field in the negative y-direction. Determine the force on the proton.
An electron is traveling at 4.00 km/s in the negative y-direction. There is a 1.50-T magnetic field in the positive z-direction. Determine the force on the particle.
The particle shown in Fig. 30-16 is positively charged in all three cases. What is the direction of the force on it due to the magnetic field? Give its magnitude in terms of B, q, and υ.
Calculate the speed of ions that pass undeflected through crossed E and B fields for which E = 7.7 kV/m and B = 0.14 T.
What might be the mass of a positive ion that is moving at 1.0 × 107 m/s and is bent into a circular path of radius 1.55 m by a magnetic field of 0.134 Wb/m2? (There are several possible answers.)
An electron is accelerated from rest through a potential difference of 3750 V. It enters a region where B = 4.0 × 10−3 T perpendicular to its velocity. Calculate the radius of the path it will
An electron is shot with speed 5.0 × 106 m/s out from the origin of coordinates. Its initial velocity makes an angle of 20° to the +x-axis. Describe its motion if a magnetic field B = 2.0 mT exists
A beam of electrons passes undeflected through two mutually perpendicular electric and magnetic fields. If the electric field is cut off and the same magnetic field maintained, the electrons move in
Imagine a length of straight wire 40.0 cm long in a horizontal plane. The wire carries a current of 2.00 A in the +x-direction. There is a 2.50-T magnetic field surrounding the wire and pointing in
A 100-cm-long piece of straight wire is aligned along the y-axis. The wire carries a current of 5.00 A in the +y-direction. There is a 2.00-T magnetic field in the negative z-direction surrounding
A 300-cm-long piece of straight wire is aligned vertically along the z-axis. The wire carries a downward current of 6.00 A. There is a 2.00-T magnetic field in the negative x-direction surrounding
A straight wire 15 cm long, carrying a current of 6.0 A, is in a uniform field of 0.40 T. What is the force on the wire when it is(a) At right angles to the field and (b) At 30° to the field?
Find the force on each segment of the wire shown in Fig. 30-17 if B = 0.15 T. Assume the current in the wire to be 5.0 A. B 1 C 16 cm 35 B Fig. 30-17 20 cm D E
What is the direction of the force at the equator, due to the Earth’s magnetic field, on a wire carrying current vertically downward?
A flat rectangular coil of 25 loops is suspended in a uniform magnetic field of 0.20 Wb/m2. The plane of the coil is parallel to the direction of the field. The dimensions of the coil are 15 cm
An electron is accelerated from rest through a potential difference of 800 V. It then moves perpendicularly to a magnetic field of 30 G. Find the radius of its orbit and its orbital frequency.
A proton and a deuteron (md ≈ 2mp, qd = e) are both accelerated through the same potential difference and enter a magnetic field along the same line. If the proton follows a path of radius Rp, what
Compute the value of B in air at a point 5 cm from a long straight wire carrying a current of 15 A.
A flat circular coil with 40 loops of wire has a diameter of 32 cm. What current must flow in its wires to produce a field in air of 3.0 × 10-4 Wb/m2 at its center?
An air-core solenoid with 2000 loops is 60 cm long and has a diameter of 2.0 cm. If a current of 5.0 A is sent through it, what will be the flux density within it?
A long straight wire coincides with the x-axis, and another coincides with the y-axis. Each carries a current of 5 A in the positive coordinate direction. (See Fig. 31-3.) Where is their combined
In Bohr’s model of the hydrogen atom, the electron travels with speed 2.2 × 106 m/s in a circle (r = 5.3 × 10-11 m) about the nucleus. Find the value of B at the nucleus due to the electron’s
As shown in Fig. 31-5, two long parallel wires are 10 cm apart in air and carry currents of 6.0 A and 4.0 A. Find the force on a 1.0- m length of wire D if the currents are (a) Parallel and (b)
A long wire carries a current of 20 A along the axis of a long solenoid in air. The field due to the solenoid is 4.0 mT. Find the resultant field at a point 3.0 mm from the solenoid axis.
Consider the three long, straight, parallel wires in air shown in Fig. 31-6. Find the force experienced by a 25-cm length of wire C. D H 3.0 cm 5.0 cm 10 A 30 A Fig. 31-6 G 20 A
The wire shown in Fig. 31-7 carries a current of 40 A. Find the field at point-P. 90⁰ 2.0 cm Fig. 31-7 40 A
A flat circular coil having 10 loops of wire has a diameter of 2.0 cm and carries a current of 0.50 A. It is mounted inside a long solenoid immersed in air, that has 200 loops on its 25-cm length.
Compute the magnitude of the magnetic field in air at a point 6.0 cm from a long straight wire carrying a current of 9.0 A.
If the B-field 1.00 cm from a straight wire in air is 2.00 mT, how much current flows in the wire?
If the B-field at a point P some distance from a straight wire in air is 20.0 μT and a current of 20.0 A flows in the wire, determine the perpendicular distance from the wire to point P.
A cable in air consists of three closely confined straight wires carrying currents of 10.0 A, 30.0 A due east, and 15.0 A due west. Determine the magnetic field 100 cm to the north of the wires.
A closely wound, flat, circular coil of 25 turns of wire has a diameter of 10 cm and carries a current of 4.0 A. Determine the value of B at its center when immersed in air.
One hundred turns of insulated wire are tightly wrapped around a cardboard ring-shaped core, thereby forming an essentially flat coil (of negligible length) with a diameter of 20.0 cm. What current
We wish to make an essentially flat, ring-shaped, tightly wound coil (of negligible length) with a diameter of 20.0 cm that will produce a B-field in air at its center of 9.42 μT. If we can provide
An air-core solenoid has 10 000 turns per meter and carries a current of 0.80 A. What is the value of the B-field at its center?
An air-core solenoid 50 cm long has 4000 turns of wire wound on it. Compute B in its interior when a current of 0.25 A exists in the winding.
Determine the approximate B-field at the ends of an air-core solenoid that has 20 000 turns per meter and carries a current of 1.60 A.
An air-core solenoid has 10 000 turns per meter and carries a current of 1.60 A. What is the approximate value of the B-field at its ends?
An air solenoid has 10 000 turns per meter and carries a current of 1.60 A. What is the approximate value of the B-field at its ends when the core of the solenoid has a permeability of μ = 50μ0?
A uniformly wound air-core toroid has 750 loops on it. The radius of the circle through the center of its windings is 5 cm. What current in the winding will produce a field of 1.8 mT on this central
Two long parallel wires in vacuum are 4 cm apart and carry currents of 2 A and 6 A in the same direction. Compute the force between the wires per meter of wire length.
The long straight wires in Fig. 31-3 both carry a current of 12 A, in the directions shown. Find B at the points (a) x = -5.0 cm, y = 5.0 cm, and (b) x = -7.0 cm, y = -6.0 cm in air. y 450 Fig.
Two long fixed parallel wires, A and B, are 10 cm apart in air and carry 40 A and 20 A, respectively, in opposite directions. Determine the resultant field (a) On a line midway between the wires and
A certain electromagnet consists of a solenoid (5.0 cm long with 200 turns of wire) wound on a soft-iron core that intensifies the field 130 times. (We say that the relative permeability of the iron
A particular solenoid (50 cm long with 2000 turns of wire) carries a current of 0.70 A and is in vacuum. An electron is shot at an angle of 10° to the solenoid axis from a point on the axis. (a)
A solenoid is 40 cm long, has a cross-sectional area of 8.0 cm2, and is wound with 300 turns of wire that carry a current of 1.2 A. The relative permeability of its iron core is 600. Compute (a) B
A storage battery, of emf 6.4 V and internal resistance 0.080 Ω, is being charged by a current of 15 A. Calculate (a) The power loss in internal heating of the battery, (b) The rate at which
As depicted in Fig. 11-5, a long, light piece of spring steel is clamped at its lower end and a 2.0-kg ball is fastened to its top end. A horizontal force of 8.0 N is required to displace the ball 20
Two identical springs have elastic constants k = 20 N/m. A 0.30-kg mass is connected to them as shown in Fig. 11-6(a) and (b). Find he period of oscillation for each system. Ignore friction forces.
When a mass m is hung on a spring, the spring stretches 6.0 cm and comes to rest. Determine the system’s period of vibration if the mass is pulled down a little more and then released.
In an old gasoline engine, a piston undergoes vertical SHM with an amplitude of 7.0 cm. A washer rests on top of the piston. As the motor speed is slowly increased, at what frequency will the washer
Mercury is poured into a glass U-tube. Normally, the mercury stands at equal heights in the two columns, but when disturbed, it oscillates back and forth from arm to arm. (See Fig. 11-7.) One
A 20-kg electric motor is mounted on four vertical springs, each having an elastic constant of 30 N/cm. Find the period with which the motor vibrates vertically.
Suppose that, in Fig. 11-8, the 200-g object initially moves to the left at a speed of 8.0 m/s. It strikes the spring and becomes attached to it. (a) How far does it compress the spring? (b) The
The 200-g object in Fig. 11-8 is pushed to the left, compressing the spring 15 cm from its equilibrium position. The system is then released, and the object shoots to the right. How fast will the
Compute the acceleration due to gravity at a place where a simple pendulum 150.3 cm long swings through 100.0 cycles in 246.7s.
In Fig. 11-9, the 2.0-kg body is released when the spring is unstretched. Neglecting the inertia and friction of the pulley and the mass of the spring and string, find (a) The amplitude of the
A 3.0-g particle at the end of a spring moves according to the equation y = 0.75 sin 63t, where y is in centimeters and t is in seconds. Find the amplitude and frequency of its motion, its position
A small metal sphere weighing 10.0 N is hung from a vertical spring, which comes to rest after stretching 2.0 cm. Determine the spring constant.
A horizontal spring is set up like the one in Fig. 11-3. It has an elastic constant of 50.0 N/m. A 1.00-kg mass, sitting on a frictionless horizontal surface, is attached to the end of the spring.
Given that a spring oscillates at a frequency of 4.40 cycles per second, how long will it take to make 200 oscillations?
If a reed is oscillating in SHM such that each cycle takes 1.00 ms, what is the corresponding frequency?
A horizontal spring is set up like the one in Fig. 11-3. It has an elastic constant of 80.0 N/m. A 2.00-kg mass, sitting on a frictionless horizontal surface, is attached to the end of the spring.
A stretched wire vibrates in SHM such that 1000 cycles takes 2.00 s. Determine its oscillatory frequency and period.
A horizontal spring is set up like the one in Fig. 11-3. It has an elastic constant of 100.0 N/m. A 2.50-kg mass, sitting on a frictionless horizontal surface, is attached to the end of the spring.
For the system shown in Fig. 11-3, write an expression for the maximum speed reached by the oscillating mass. And check the units for your answer. v₁=0 v₁ = -Aw v₁=0 v₁ = Auh V, 0 V₁ =
What is the value of the maximum speed in Problem 11.25, and where in the cycle does it occur?Problem 11.25A horizontal spring is set up like the one in Fig. 11-3. It has an elastic constant of 100.0
What is the value of the temporal period of a simple pendulum 9.81 m long?
How much heat is given up when 20 g of steam at 100 °C is condensed and cooled to 20 °C?
A spherical body of 2.0 cm diameter is maintained at 600 °C. Assuming that it radiates as if it were a blackbody, at what rate (in watts) is energy radiated from the sphere?
A sheet of ice 1.0 m by 1.0 m and 1.0 cm thick covers a tank filled with water at 0.0 °C. The outside temperature is −10.0 °C. At what rate does the water lose energy passing through the ice?
A single-thickness glass window on a house actually has layers of stagnant air on its two surfaces. But if it did not, how much heat would flow out of an 80-cm × 40-cm × 3.0-mm window each hour on
How many grams of water at 100 °C can be evaporated per hour per cm2 by the heat transmitted through a steel plate 0.20 cm thick, if the temperature difference between the plate faces is 100 °C?
A certain double-pane window consists of two glass sheets, each 80 cm × 80 cm × 0.30 cm, separated by a 0.30-cm stagnant air space. The indoor surface temperature is 20 °C, while the outdoor
Determine the R value for a 2.54-cm-thick plaster wall.
A down comforter is 1.00 inch thick. Determine its thermal resistance, and compare with the R value of the wall in the previous problem.Previous problemDetermine the R value for a 2.54-cm-thick
tungsten filament in an old lightbulb has an area of 3.001 × 10–6 m6. The bulb operates at a power of 10.0 W. Take the emissivity of the filament to be 0.40. You can ignore the temperature of the
A small hole in a furnace acts like a blackbody. Its area is 1.00 cm2, and its temperature is the same as that of the interior of the furnace, 1727 °C. How many calories are radiated out of the hole
An incandescent lamp filament has an area of 50 mm2 and operates at a temperature of 2127 °C. Assume that all the energy furnished to the bulb is radiated from it. If the filament’s emissivity is

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