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Problems with solutions

I.D Level Problem Problem Topic
497 High school A 3.5 M ohm and a 2.2 micro F capacitor are connected in series with an ideal battery with an EMF of 4 V. At 3 seconds after the circuit is initially connected to the battery :

a. What is the rate at which the charge on the capacitor increasing ?

b. What is the rate at which energy is being stored on the capacitor ?

< . . . continues
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Current & Electricity
498 High school When the lights on an automobile are switched on , an ammeter in series with them read 9A and a voltmeter connected across them read 12 V . When the electric starting motor is turned on, the ammeter reading drops to 6A and the light dims somewhat . You may assume that the ammeter and the voltmeter are ideal , The internal resistance of the battery . . . continues
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Current & Electricity
499 High school In the figure at “click here” each of the resistors in the circuit to the left has a resistance of 4.3 ohm.

a). What is the equivalent resistance between points F and H ?

b. ) What is the equivalent resistance between points F and G ?

. . . continues
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Alternating Current
500 High school Initially the capacitor is uncharged , and the switch is open . At t = 0, the switch is closed . The positive direction of the currents are represented by arrows in the diagram which is shown at “click here”

a) Calculate the charge on the positive plate of the capacitor jus tafter the switch is closed.

b) Calculate the fol . . . continues
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Current & Electricity
501 High school The current in an electron beam ina cathode –ray tube is measured to be 70 A . How many electrons hit the screen in 5.0 s ? (e=1.6 x 10-19 c)

a 2.2 x 1011 electrons

b . 8.8 x 1013 electrons

c. 2.2 x 1015 electrons

d. 8.8 x 1018 electrons

. . . continues
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Current & Electricity
502 High school If a metallic wire of cross sectional area 3.0 x 10-6 m2 carries a current of 6.0 A and has a mobile charge density of 4.24 x 1028 carriers/m3 , What is the average drift velocity of the mobile charge carriers ? (charge value = 1.6 x 10-19 C)

a. 3.4 x 103 m/s

b. 1.7 x 103 m/s

c. 1.5 x 10-4 m/s

d. 2.9 x 10-4 m/s

. . . continues
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Current & Electricity
503 High school When an electric current exist s within a conducting wire , which of the following statement describes the condition of any accompanying electric field ?

a. must be zero .

b. must be parallel to current flow .

c. Must be anti-parallel (opposite direction) to current flow .

d. must be perpendicular t . . . continues
Solution:
Ans: b

must be parallel to current flow .

Current & Electricity
504 High school A high voltage transmission line of diameter 2 cm and length 200 km carries a steady current of 1000A . If the conductor is copper with a free charge density of 8 x 1028 electrons/m3 , how long does it take one electron to travel the full length of the cable ? (e = 1.6 x 10-19 C)

a. 8 x 102 s

b. 8 x 104 s

c. 8 x 106 s< . . . continues
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Current & Electricity
505 High school A flashlight bulb operating at a voltage of 4.5 V has a resistance of 8.0 ohm . How many electrons pass through the bulb filament per second (e = 1.6 x 10-19 C) ?

a. 3.7 x 1016

b. 1.8x 1021

c. 9.4 x 1017

d. 3.5 x 1018

. . . continues
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Current & Electricity
506 High school Number 10 copper wire (radius = 1.3mm) is commoly used for electrical installation in homes .What is the voltage drop in 40 m of #10 copper wire if it carries a current of 10A? (The resistivity of copper is 1.7 x 10-8 ohm.m .)

a. 1.3 V

b. 0.77 V

c. 0.50 V

d. 0.13 V

. . . continues
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Current & Electricity
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