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Alternating Current question

2017 · Q132
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Alternating Current question

2017 · Q132

NEETPhysicsAlternating CurrentMCQ+4 / −1
Figure shows a circuit that contains three identical resistors with resistance R = 9.0 Ω\OmegaΩ each, two identical inductors with inductance LLL = 2.0 mH each, and an ideal battery with emf ε=18V\varepsilon = 18Vε=18V. The current iii through the battery just after the switch closed is

NEET 2017 Physics - Alternating Current Question 62 English
  1. A
    0.2 A
  2. B
    4 A
  3. C
    0 ampere
  4. D
    2 mA
View written solutionFree

Correct answer: B

At t = 0, there will be no current flowing through an inductor as it resists the change in current, whereas current will slowly build in it. Also, as switch is closed, inductor will give an infinite resistance where capacitor shows zero resistance, so, current through battery, will be

I = E(R/2)=2ER=2×189{E \over {\left( {R/2} \right)}} = {{2E} \over R} = {{2 \times 18} \over 9}(R/2)E​=R2E​=92×18​ = 4 A

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