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physics
schaums outline of college physics
Questions and Answers of
Schaums Outline Of College Physics
Referring to Fig. 25-10, what is the equivalent capacitance between terminals C and B? Are any capacitors removable? Which capacitors are in series? Which are in parallel? 3.0 pF 3.0 pF A H 2.0
Referring to Fig. 25-12, what is the equivalent capacitance between terminals A and B? Are any capacitors removable? Which capacitors are in series? Which are in parallel?
Referring to Fig. 25-13, what is the equivalent capacitance of the circuit across the 6.0-V battery? What are the voltages across C3, C8, C9, C5, and C2? How much energy is stored in the 2.0-μF
A steady current of 0.50 A flows through a wire. How much charge passes through the wire in one minute?
How many electrons flow through a light bulb each second if the current through the light bulb is 0.75 A?
A light bulb has a resistance of 240 Ω when lit. How much current will flow through it when it is connected across 120 V, its normal operating voltage?
An electric heater uses 5.0 A when connected across 110 V. Determine its resistance.
The current in Fig. 26-1 is 0.125 A in the direction shown. For each of the following pairs of points, what is their potential difference, and which point is at the higher potential? (a) A, B; (b)
What is the potential drop across an electric hot plate that draws 5.0 A when its hot resistance is 24 Ω?
A current of 3.0 A flows through the wire shown in Fig. 26-2. What will a voltmeter read when connected from (a) A to B, (b) A to C,(c) A to D? 3.0A A 6.0 22 R 8.0 V Fig. 26-2 3,02 7.0 V + D
Repeat Problem 26.7 if the 3.0-A current is flowing from right to left instead of from left to right. Which point is at the higher potential in each case?Problem 26.7A current of 3.0 A flows through
A dry cell has an emf of 1.52 V. Its terminal potential drops to zero when a current of 25 A passes through it. What is its internal resistance?
As shown in Fig. 26-4 the ammeter–voltmeter method is used to measure an unknown resistance R. The ammeter reads 0.3 A, and the voltmeter reads 1.50 V. Compute the value of R if the ammeter and
A direct-current generator has an emf of 120 V; that is, its terminal voltage is 120 V when no current is flowing from it. At an output of 20 A, the terminal potential is 115 V. (a) What is the
A metal rod is 2 m long and 8 mm in diameter. Compute its resistance if the resistivity of the metal is 1.76 × 10−8 Ω · m.
Number 10 wire has a diameter of 2.59 mm. How many meters of number 10 aluminum wire are needed to give a resistance of 1.0 Ω? ρ for aluminum is 2.8 × 10−8 Ω · m.
Number 24 copper wire has diameter 0.020 1 in. Compute (a) The cross-sectional area of the wire in circular mils and (b) The resistance of 100 ft of the wire. The resistivity of copper is 10.4 Ω
The resistance of a coil of copper wire is 3.35 Ω at 0 °C. What is its resistance at 50 °C? For a copper alloy α = 4.3 × 10−3 °C−1.
A resistor is to have a constant resistance of 30.0 Ω, independent of temperature. For this, an aluminum resistor with resistance R0 at 0 °C is used in series with a carbon resistor with resistance
In the Bohr model, the electron of a hydrogen atom moves in a circular orbit of radius 5.3 × 10−11 m with a speed of 2.2 × 106 m/s. Determine its frequency f and the current I in the orbit.
A wire that has a resistance of 5.0 Ω is passed through an extruder so as to make it into a new wire three times as long as the original. What is the new resistance?
It is desired to make a wire that has a resistance of 8.0 Ω from 5.0 cm3 of metal that has a resistivity of 9.0 × 10−8 Ω · m. What should the length and cross-sectional area of the wire be?
How many electrons per second pass through a section of wire carrying a current of 0.70 A?
An electron gun in a TV set shoots out a beam of electrons. The beam current is 1.0 × 10−5 A. How many electrons strike the TV screen each second? How much charge strikes the screen in a minute?
What happens to the resistance of a copper wire if its length is doubled, all else kept constant?
What happens to the resistance of a copper wire if its diameter is doubled, all else kept constant?
Suppose you have two wires of the same length and diameter, at the same temperature. If one is made of nichrome and the other is made of copper, what is the ratio of their resistances,
What is the current through an 8.0-Ω toaster when it is operating on 120 V?
What potential difference is required to pass 3.0 A through 28 Ω?
Determine the potential difference between the ends of a wire of resistance 5.0 Ω if 720 C passes through it per minute.
A copper bus bar carrying 1200 A has a potential drop of 1.2 mV along 24 cm of its length. What is the resistance per meter of the bar?
Determine the resistivity of a length of aluminum wire at 100 °C. SUBSTANCE Aluminum Brass Constantan (60% Cu, 40% Ni) Copper Iron Manganin (284% Cu, 12% Mn, 4% Ni) Mercury Nichrome (59% Ni. 23% Cu,
An ammeter is connected in series with an unknown resistance, and a voltmeter is connected across the terminals of the resistance. If the ammeter reads 1.2 A and the voltmeter reads 18 V, compute the
Imagine that we have a wire made of Manganin at 20 °C that has a resistance of 100 Ω. What would be its resistance at 60 °C? SUBSTANCE Aluminum Brass Constantan (60% Cu, 40%
An electric utility company runs two 100 m copper wires from the street mains up to a customer’s premises. If the wire resistance is 0.10 Ω per 1000 m, calculate the line voltage drop for an
When the insulation resistance between a motor winding and the motor frame is tested, the value obtained is 1.0 megohm (106 Ω). How much current passes through the insulation of the motor if the
The resistivity of aluminum is 2.8 × 10−8 Ω · m. How long a piece of aluminum wire 1.0 mm in diameter is needed to give a resistance of 4.0 Ω?
Number 6 copper wire has a diameter of 0.162 in. (a) Calculate its area in circular mils. (b) If ρ = 10.4 Ω · circular mils/ft, find the resistance of 1.0 × 103 ft of the wire.
A coil of wire has a resistance of 25.00 Ω at 20 °C and a resistance of 25.17 Ω at 35 °C. What is its temperature coefficient of resistance?
Compute the work and the average power required to transfer 96 kC of charge in one hour (1.0 h) through a potential rise of 50 V.
How much current does a 60-W light bulb draw when connected to its proper voltage of 120 V?
An electric motor takes 5.0 A from a 110 V line. Determine the power input and the energy, in J and kW ⋅ h, supplied to the motor in 2.0 h.
An electric iron of resistance 20 Ω takes a current of 5.0 A. Calculate the thermal energy, in joules, developed in 30 s.
An electric heater of resistance 8.0 Ω draws 15 A from the service mains. At what rate is thermal energy developed, in W? What is the cost of operating the heater for a period of 4.0 h at 10 /kW ·
A coil develops 800 cal/s when 20 V is supplied across its ends. Compute its resistance.
A line having a total resistance of 0.20 Ω delivers 10.00 kW at 250 V to a small factory. What is the efficiency of the transmission?
A hoist motor supplied by a 240-V source requires 12.0 A to lift an 800-kg load at a rate of 9.00 m/min. Determine the power input to the motor and the power output, both in horsepower, and the
The lights on a car are inadvertently left on. They dissipate 95.0 W. About how long will it take for the fully charged 12.0-V car battery to run down if the battery is rated at 150 ampere-hours (A
What is the cost of electrically heating 50 liters of water from 40 °C to 100 °C at 8.0 /kW · h?
If the current supplied to a resistor is doubled, what happens to the power it dissipates?
A 12.0-V battery supplies 20.0 mA to a resistive circuit. How much power does it provide?
A length of wire has a certain current passing through it. If the length of the wire sample is doubled, all else kept constant including the current, what happens to the amount of power dissipated by
A 12.0-V battery is put across a 100-Ω resistor. How much current flows through the resistor? How much power does the battery supply?
A 12.0-V car battery supplies 15.0 A to a resistor. How much power does the resistor dissipate? Determine the value of the resistance.
A resistive heater is labeled 1600 W/120 V. How much current does the heater draw from a 120-V source?
A bulb is stamped 40 W/120 V. What is its resistance when lighted by a 120-V source?
A spark of artificial 10.0-MV lightning had an energy output of 0.125 MW · s. How many coulombs of charge flowed?
A current of 1.5 A exists in a conductor whose terminals are connected across a potential difference of 100 V. Compute the total charge transferred in one minute, the work done in transferring this
An electric motor takes 15.0 A at 110 V. Determine (a) The power input and (b) The cost of operating the motor for 8.00 h at 10.0 ¢ / kW · h.
A current of 10 A exists in a line of 0.15 Ω resistance. Compute the rate of production of thermal energy in watts.
An electric broiler develops 400 cal/s when the current through it is 8.0 A. Determine the resistance of the broiler.
A 25.0-W, 120-V bulb has a cold resistance of 45.0 Ω. When the voltage is switched on, what is the instantaneous current? What is the current under normal operation?
While carrying a current of 400 A, a defective switch becomes overheated due to faulty surface contact. A millivoltmeter connected across the switch shows a 100-mV drop. What is the power loss due to
How much power does a 60-W/120-V incandescent light bulb dissipate when operated at a voltage of 115 V? Neglect the bulb’s decrease in resistance with lowered voltage.
A house wire is to carry a current of 30 A while dissipating no more than 1.40 W of heat per meter of its length. What is the minimum diameter of the wire if its resistivity is 1.68 × 10–8 Ω · m?
A 10.0-Ω electric heater operates on a 110-V line. Compute the rate at which it develops thermal energy in W and in cal/s.
An electric motor, which has 95 percent efficiency, uses 20 A at 110 V. What is the horsepower output of the motor? How many watts are lost in thermal energy? How many calories of thermal energy are
What should be the resistance of a heating coil which will be used to raise the temperature of 500 g of water from 28 °C to the boiling point in 2.0 minutes, assuming that 25 percent of the heat is
An electric crane uses 8.0 A at 150 V to raise a 450-kg load at the rate of 7.0 m/min. Determine the efficiency of the system.
An electron (q = −e, me = 9.1 × 10−31 kg) is shot with speed 5.0 × 106 m/s parallel to a uniform electric field of strength 3.0 kV/m. How far will the electron go before it stops?
A potential difference of 24 kV maintains a downward directed electric field between two horizontal parallel plates separated by 1.8 cm in vacuum. Find the charge on an oil droplet of mass 2.2 ×
Compute the magnitude of the electric field and the absolute potential at a distance of 1.0 nm from a helium nucleus of charge +2e. What is the potential energy (relative to infinity) of a proton at
A charge of 0.20 μC is 30 cm from a point charge of 3.0 μC in vacuum. What work is required to bring the 0.20-μC charge 18 cm closer to the 3.0-μC charge?
In Problem 25.45, what is the difference in potential between the following two points on the x-axis: point-A at x = 0.1 m and point- B at x = 0.9 m? Which point is at the higher potential?Problem
A point charge of +2.0 μC is placed at the origin of coordinates. A second, of −3.0 μC, is placed on the x-axis at x = 100 cm. At what point (or points) on the x-axis will the absolute potential
Power is transmitted at 80 kV between two stations. If the voltage can be increased to 160 kV without a change in cable size, how much additional power can be transmitted for the same current? What
Derive the formula for the equivalent resistance Req of resistors R1, R2, and R3 (a) In series and (b) In parallel, as shown in Fig. 28- 1(a) and (b). ما است R₁ b R, (a) Resistors in
A tank containing 200 kg of water was used as a constanttemperature bath. How long would it take to heat the bath from 20 °C to 25 °C with a 250-W immersion heater? Neglect the heat capacity of the
As shown in Fig. 28-2(a), a battery (internal resistance 1 Ω) is connected in series with two resistors. Compute (a) The current in the circuit, (b) The p.d. across each resistor, and (c) The
A 120-V house circuit has the following light bulbs turned on: 40.0 W, 60.0 W, and 175.0 W. Find the equivalent resistance of these lights.
What resistance must be placed in parallel with 12 Ω to obtain a combined resistance of 4 Ω?
For each circuit shown in Fig. 28-3, determine the current I through the battery. 30 V 0492 3.092 *W* 17 V 0.292 7.092 3.0 2 9.092 2.0 92 20 V 0.3 2 15.0 22 (c) 8.02 Fig. 28-3 2.002 8.0
Several 40-Ω resistors are to be connected so that 15 A flows from a 120-V source. How can this be done?
For the circuit shown in Fig. 28-4, find the current in each resistor and the current drawn from the 40-V source. a I, Is Ig 2.0 Ω Μα 5.0 Ω 8.0 Ω Fig. 28-4 + b • 40 V
In Fig. 28-5, the battery has an internal resistance of 0.7 Ω. Find (a) The current drawn from the battery, (b) The current in each 5-Ω resistor, and (c) the terminal voltage of the battery.
Find the equivalent resistance between points-a and -b for the combination shown in Fig. 28-6(a). 9.092 W 12.092 3.09 6.0 2 W 5.02 (a) 2.0 92, ww 7.092
A current of 5.0 A flows into the circuit in Fig. 28-6(a) at point-a and out at point-b. (a) What is the potential difference from a to b? (b) How much current flows through the 12.0-Ω resistor?
As shown in Fig. 28-7, the current I divides into I1 and I2. Find I1 and I2 in terms of R1, and R2. 12 R₁ M R₂ Fig. 28-7 I
Find the potential difference between points-P and -Q in Fig. 28- 8. Which point is at the higher potential? 10 92 P www. 592 ww [7.0 A a b 292 M Fig. 28-8 M + Q 1892
For the circuit of Fig. 28-9(a), find (a) I1 I2, and I3; (b) The current in the 12-Ω resistor. S 1292 6,09 40 52 8,052 277 |||||-- 1.09 22 92 5.0 52 لا 2092 والی ل ل h
A galvanometer has a resistance of 400 Ω and deflects full scale for a current of 0.20 mA through it. How large a shunt resistor is required to change it to a 3.0-A ammeter?
The currents in the circuit in Fig. 28-11 are steady. Find I1, I2, I3, and the charge on the capacitor. 1₁ 13 C=2uF 15 V * 3.0 2 Fig. 28-11 5.02 싸 12 7.02 6.0 V +
Find the ammeter reading and the voltmeter reading in the circuit in Fig. 28-12. Assume both meters to be ideal. A 6.0 V 3.0 오 에 싸 4.0 오 b V Fig. 28-12 6.0 V 9.09 8.0V + I
A voltmeter is to deflect full scale for a potential difference of 5.000 V across it and is to be made by connecting a resistor Rx in series with a galvanometer. The 80.00-Ω galvanometer deflects
Compute the equivalent resistance of 4.0 Ω and 8.0 Ω (a) In series and (b) In parallel.
Compute the equivalent resistance of (a) 3.0 Ω, 6.0 Ω, and 9.0 Ω in parallel; (b) 3.0 Ω, 4.0 Ω, 7.0 Ω, 10.0 Ω, and 12.0 Ω in parallel; (c) Three 33-Ω heating elements in parallel;(d)
What resistance must be placed in parallel with 20 Ω to make the combined resistance 15 Ω?
How many 160-Ω resistors (in parallel) are required to carry a total of 5.0 A on a 100-V line?
Three resistors, of 8.0 Ω, 12 Ω, and 24 Ω, are in parallel, and a current of 20 A is drawn by the combination. Determine (a) The potential difference across the combination and (b) The current
By use of one or more of the three resistors 3.0 Ω, 5.0 Ω, and 6.0 Ω, a total of 18 resistances can be obtained. What are they?
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