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An inductor of inductance L = 400 mH and...

An inductor of inductance L = 400 mH and resistors of resistance `R_(1) = 2Omega` and `R_(2) = 2Omega` are connected to a battery of emf 12 V as shown in the figure. The internal resistance of the battery is negligible. The switch S is closed at `t = 0`. The potential drop across L as a function of time is

A

`12/t e^(-3t) V`

B

`6(1-e^(-t//0.2))V`

C

`12e^(-5t)V`

D

`6e^(-5t)V`

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An inductor of inductance L=400 mH and resistor of resistance R_(1) = 2(Omega) and R_(2) = 2 (Omega) are connected to a battery of emf E = 12 Vas shown in the figure. The internal resistance of the battery is negligible. The switch S is closed at time t =0. What is the potential drop across L as a function of time? After the steady state is reached, the switch is opened. What is the direction and the magnitude of current through R_(1) as a function of time?

An inductor of inductance L=400 mH and resistors of resistances R_1=2Omega and R_2=2Omega are connected to a battery of emf E=12 V as shown in the figure. The internal resistance of the battery is negligible. The switch S is closed at time t=0 . What is the potential dro across L s a function of time? After the steady state is reached, the switch is opened. What is the direction ad the magnitude of current throough R_1 as a function of time?

Knowledge Check

  • An inductor of inductance L=400mH and resistors of resistances R_(1)=2 Omega and R_(2)=2 Omega are connected to a battery of emf 12 V as shown in figure.The internal resistance of the battery is negligible.The switch S is closed at t=0 .The potential drop across L as a function of time is:

    A
    `12/te^(-31) V`
    B
    `6(1-e^(-t//0.2))V`
    C
    `12 e^(-5t)V`
    D
    `5 e^(-5t)V`

  • A 4 m long wire of resistance 8Omega is connected in series with a battery of emf 2V and a resistor of 7Omega . The internal resistance of the battery is 1Omega . What is the potential gradient along the wire ?

    A
    0.25V`m^(-1)`
    B
    0.50V`m^(-1)`
    C
    0.75V`m^(-1)`
    D
    1.00V`m^(-1)`

  • A 4mu F capacitor is connected to a battery of emf 24V. Through a resistance of 5 M Omega and a switch which is kept open initially. Internal resistance of the battery is negligible. Switch is closed at t=0. Potential difference across capacitor and resistor at t=0 are respectively.

    A
    12V, 12V
    B
    0V, 24V
    C
    24V, 0V
    D
    6V, 18V

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