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In the circuit shown in figure switch S...

In the circuit shown in figure switch S is closed at time t=0

Current I from the battery at time t is given by

A

`3(1-e^(-2t))`

B

`3+e^(-2t))`

C

`3(1-e^(-t/9))

D

`3-e^(-2t)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • In the circuit shown in figure switch S is closed at time t=0 . The charge which passes through the battery in one time constant is

    A
    `(eR^(2)E)/(L)`
    B
    `E((L)/(R ))`
    C
    `(EL)/(eR^(2))`
    D
    `(eL)/(ER)`
  • In the circuit shown in the figure, switch S is closed at time t=0 . Select the correct statements.

    A
    Rate of increase of charge is same in both the capacitors
    B
    Ratio of charge stored in capacitors `C` and `2C` at any time t would be `1:2`
    C
    Time constants of both the capacitors are equal
    D
    Steady state chares on capacitors `C` and `2C` are in the ratio of `1:2`
  • In the circuit as shown in the figure, switch S is added at t=0. Then:

    A
    after a long time interval potential differences across capacitor and inductor will be equal
    B
    after a long time interval charge on a capacitor will be EC
    C
    after a long time interval curent in the inductory will be E/R
    D
    after a long time interval current through battery willl be same as the curren through it initially
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