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The figure shows three circuits with identical batteries, inductors and resistance, Rank the circuits according to the currents through the battery just after the switch is closed, greatest first :

A

`i_(2) gt i_(3) gt i_(1)`

B

`i_(2) gt i_(1) gt i_(3)`

C

`i_(1) gt i_(2) gt i_(3)`

D

`i_(1) gt i_(3) gt i_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
At t = 0, current through inductor is zero
At `t = oo`, inductor behave like a conductor
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Knowledge Check

  • The figure shows theree cirrcuit with idential batteries, inductors, and resistors. Rank the circuit according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first

    A
    `(i)i_(2)gti_(3)gti_(1)(i_(1)=0)(ii)i_(2)gti_(3)gti_(1)`
    B
    `(i)i_(2)gti_(3)gti_(1)(i_(1)!=0)(ii)i_(2)gti_(3)gti_(1)`
    C
    `(i)i_(2)=i_(3)=i_(1)(i_(1)=0)(ii)i_(2)gti_(3)gti_(1)`
    D
    `(i)i_(2)=i_(3)=i_(1)(i_(1)!=0)(ii)i_(2)gti_(3)gti_(1)`

  • The diagrams show three circuits with identical batteries, identical inductors, and identical resistors. Rank them according to the current through the battery just after the switch is closed from least to greatest.

    A
    `3, 2, 1`
    B
    `1,3,2`
    C
    `1,2,3`
    D
    `3, 1, 2`

  • In the circuit diagram the current through the battery immediately after the switch S is closed is

    A
    zero
    B
    `E/R_1`
    C
    `E/(R_1+R_2)`
    D
    `(E)/(R_(1))+(R_2R_3)/(R_2+R_3)`

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