In the circuit shown in the figure, the inductor has inductance ?=2.75 HL=2.75 H and negligible internal resistance. The battery has a voltage of ?b=13.0 VVb=13.0 V and is connected in series to a resistor of resistance ?1=12.0 Ω.R1=12.0 Ω. A second resistor has a resistance of ?2=215 Ω.R2=215 Ω. The switch ?S has been closed for a long time. At time ?=0,t=0, the switch is opened. What is the current ?b,0Ib,0 in the battery, the current ?2,0I2,0 in resistor ?2,R2, and the current ?L,0IL,0 in the inductor at ?=0.t=0. What is the current ?b,∞Ib,∞ in the battery, the current ?2,∞I2,∞ in resistor ?2,R2, and the current ?L,∞IL,∞ in the inductor after the switch is opened for a long time (i.e., ?=∞).

Principles of Physics: A Calculus-Based Text
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Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 40P
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In the circuit shown in the figure, the inductor has inductance ?=2.75 HL=2.75 H and negligible internal resistance. The battery has a voltage of ?b=13.0 VVb=13.0 V and is connected in series to a resistor of resistance ?1=12.0 Ω.R1=12.0 Ω. A second resistor has a resistance of ?2=215 Ω.R2=215 Ω.

The switch ?S has been closed for a long time. At time ?=0,t=0, the switch is opened.

What is the current ?b,0Ib,0 in the battery, the current ?2,0I2,0 in resistor ?2,R2, and the current ?L,0IL,0 in the inductor at ?=0.t=0.
What is the current ?b,∞Ib,∞ in the battery, the current ?2,∞I2,∞ in resistor ?2,R2, and the current ?L,∞IL,∞ in the inductor after the switch is opened for a long time (i.e., ?=∞).
In the circuit shown in the figure, the inductor has
inductance L = 4.75 H and negligible internal
resistance. The battery has a voltage of V, = 17.0 V and
is connected in series to a resistor of resistance
R = 10.0 N. A second resistor has a resistance of
R2 = 125 N.
L
R,
The switch S has been closed for a long time. At time
R
t = 0, the switch is opened.
What is the current Ipo in the battery, the current I2.0 in
What is the current I in the battery, the current I2,00 in
resistor R2, and the current IL.0 in the inductor at t = 0.
resistor R2, and the current IL. in the inductor after the
switch is opened for a long time (i.e., t = o0).
Ib.0 =
A
Ib.00 =
A
I2.0 =
A
I2.00 =
A
IL0 =
A
IL,c0 =
A
Transcribed Image Text:In the circuit shown in the figure, the inductor has inductance L = 4.75 H and negligible internal resistance. The battery has a voltage of V, = 17.0 V and is connected in series to a resistor of resistance R = 10.0 N. A second resistor has a resistance of R2 = 125 N. L R, The switch S has been closed for a long time. At time R t = 0, the switch is opened. What is the current Ipo in the battery, the current I2.0 in What is the current I in the battery, the current I2,00 in resistor R2, and the current IL.0 in the inductor at t = 0. resistor R2, and the current IL. in the inductor after the switch is opened for a long time (i.e., t = o0). Ib.0 = A Ib.00 = A I2.0 = A I2.00 = A IL0 = A IL,c0 = A
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