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What is the inductance of a series RL circuit in which R = 1.0 K Ω\Omega if the current increases to one-third of its final value in 30 μ\mu s?


A) 74 mH
B) 99 mH
C) 49 mH
D) 62 mH
E) none of the above

F) B) and D)
G) B) and E)

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A circuit contains two inductors of 6.0 mH inductance in series placed in parallel with an inductor of 8.0 mH inductance.After one of the 6.0 mH inductors burns out, the repair person wants to replace all three inductors with one inductor of equivalent inductance.Assuming inductors combine in series and parallel the same way resistors do, what inductance should she use?


A) 3.0 mH
B) 3.4 mH
C) 4.8 mH
D) 11 mH
E) 20 mH

F) D) and E)
G) A) and B)

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A circuit contains two inductors of 6.0 mH inductance in parallel placed in series with an inductor of 8.0 mH inductance.After one of the 6.0 mH inductors burns out, the repairman wants to replace all three inductors with one inductor of equivalent inductance.Assuming inductors combine in series and parallel the same way resistors do, what inductance should he use?


A) 3.0 mH
B) 3.4 mH
C) 4.8 mH
D) 11 mH
E) 20 mH

F) B) and E)
G) A) and C)

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When a switch is closed to complete a DC series RL circuit:


A) the electric field in the wires increases to a maximum value.
B) the magnetic field outside the wires increases to a maximum value.
C) the rate of change of the electric and magnetic fields is greatest at the instant when the switch is closed.
D) all of the above are true.
E) only (a) and (c) above are true.

F) None of the above
G) D) and E)

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When a switch is closed, completing an LR series circuit, the time needed for the current to reach three-quarters its maximum value is ____ time constants.


A) 0.500
B) 0.693
C) 0.725
D) 1.33
E) 1.39

F) A) and C)
G) A) and E)

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A series LC circuit contains a 100 mH inductor, a 36.0 mF capacitor and a 12 V battery.The angular frequency of the electromagnetic oscillations in the circuit is:


A) 36.0 * 10-4 rad/s.
B) 6.00 * 10-2 rad/s.
C) 2.78 rad/s.
D) 16.7 rad/s.
E) 277 rad/s.

F) B) and C)
G) A) and C)

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A 10-mH inductor is connected in series with a 10-ohm resistor, a switch and a 6-volt battery.What is the time constant of the circuit? How long after the switch is closed will the current reach 99 per cent of its final value?

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A series LC circuit contains a 100 mH inductor, a 36.0 mF capacitor and a 12 V battery.The frequency of the electromagnetic oscillations in the circuit is:


A) 5.73 *-4 Hz.
B) 9.55 * 10-3 Hz.
C) 0.442 Hz.
D) 2.65 Hz.
E) 44.0 Hz.

F) D) and E)
G) B) and C)

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Before the switch is closed in the figure, the potential across the capacitor is 200 V.At some instant after the switch is closed, the instantaneous current is 0.70 A.What is the energy in the capacitor at this instant? Before the switch is closed in the figure, the potential across the capacitor is 200 V.At some instant after the switch is closed, the instantaneous current is 0.70 A.What is the energy in the capacitor at this instant?   A) 49 mJ B) 31 mJ C) 80 mJ D) 0.13 J E) 62 mJ


A) 49 mJ
B) 31 mJ
C) 80 mJ
D) 0.13 J
E) 62 mJ

F) B) and D)
G) B) and C)

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An inductor produces a back emf in a DC series RL circuit when a switch connecting the battery to the circuit is closed.We can explain this by:


A) Lenz's law.
B) increasing magnetic flux within the coils of the inductor.
C) increasing current in the coils of the inductor.
D) all of the above.
E) only (a) and (c) above.

F) All of the above
G) D) and E)

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D

Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B.What is the ratio of the inductance of Cable A to that of Cable B?


A) Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B.What is the ratio of the inductance of Cable A to that of Cable B? A)    B)    C) 2 D)    E)
B) Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B.What is the ratio of the inductance of Cable A to that of Cable B? A)    B)    C) 2 D)    E)
C) 2
D) Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B.What is the ratio of the inductance of Cable A to that of Cable B? A)    B)    C) 2 D)    E)
E) Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B.What is the ratio of the inductance of Cable A to that of Cable B? A)    B)    C) 2 D)    E)

F) A) and B)
G) B) and C)

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The switch in the figure is closed at t = 0 when the current I is zero.When I = 15 mA, what is the potential difference across the inductor? The switch in the figure is closed at t = 0 when the current I is zero.When I = 15 mA, what is the potential difference across the inductor?   A) 240 V B) 60 V C) 0 D) 180 V E) 190 V


A) 240 V
B) 60 V
C) 0
D) 180 V
E) 190 V

F) A) and B)
G) A) and E)

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If we wished to construct a 'tank circuit' where electric charge originally stored on a capacitor flows through an inductor, then back again, what value of inductance should we place in series with a fully-charged 100 μ\mu 0F capacitor to get the circuit to resonate at 60.0 Hz?

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70.4 mH

The figure shows an LR circuit with a switch and a 240-volt battery.At the instant the switch is closed the current in the circuit and the potential difference between points a and b, Vab, are: The figure shows an LR circuit with a switch and a 240-volt battery.At the instant the switch is closed the current in the circuit and the potential difference between points a and b, Vab, are:   A) 0 A, 0 V B) 0 A, -240 V C) 0 A, +240 V D) 0.024 A, 0 V E) 0.024 A, +240 V


A) 0 A, 0 V
B) 0 A, -240 V
C) 0 A, +240 V
D) 0.024 A, 0 V
E) 0.024 A, +240 V

F) None of the above
G) C) and E)

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The magnetic field in a superconducting solenoid is 3.0 T.How much energy per unit volume is stored in the solenoid, in J/m3? μ\mu 0 = 4 π\pi *10-07 T .A/m

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When a switch is closed, completing an LR series circuit, the time needed for the current to reach one half its maximum value is ____ time constants.


A) 0.250
B) 0.500
C) 0.693
D) 1.00
E) 1.44

F) A) and E)
G) C) and E)

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For the circuit shown, what is the rate of change of the current in the inductor when the current in the battery is 0.50 A? For the circuit shown, what is the rate of change of the current in the inductor when the current in the battery is 0.50 A?   A) 600 A/s B) 400 A/s C) 200 A/s D) 800 A/s E) 500 A/s


A) 600 A/s
B) 400 A/s
C) 200 A/s
D) 800 A/s
E) 500 A/s

F) A) and B)
G) D) and E)

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An RLC circuit has L = 250 mH, C = 0.200 μ\mu F, and R = 2.00 k Ω\Omega .What is the angular frequency of its damped oscillations?

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Which of the following are the units of a henry and a farad respectively?


A) J . s2/C2 and C2/J
B) V . s/A and V/C
C) V/(A . s) and C/V
D) N .m/A2 and 1/J
E) None of the above

F) All of the above
G) B) and D)

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A

There is no current in the circuit shown in the figure below until the switch is closed.The current through the 20- Ω\Omega resistor the instant after the switch is closed is either [1] 15 A or [2] 5.0 A, and the current through the 20- Ω\Omega resistor after the switch has been closed a long time is either [3] 5.0 A or [4] 15 A.Which combination of the above choices is correct?  There is no current in the circuit shown in the figure below until the switch is closed.The current through the 20-  \Omega  resistor the instant after the switch is closed is either [1] 15 A or [2] 5.0 A, and the current through the 20-  \Omega  resistor after the switch has been closed a long time is either [3] 5.0 A or [4] 15 A.Which combination of the above choices is correct?   A) [1] and [3] B) [1] and [4] C) [2] and [3] D) [2] and [4] E) None of these


A) [1] and [3]
B) [1] and [4]
C) [2] and [3]
D) [2] and [4]
E) None of these

F) A) and D)
G) A) and B)

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