Electro Magnetic Induction And Alternating Currents Question 161

Question: In given circuit capacitor initially uncharged. Now at t=0 switch S is closed then current given by source at any time t is

Options:

A) 2R(1e2tCR)

B) ε2R(1+e2tCR)

C) ε2R(1e2tCR)

D) 2εR(1e2tCR)

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Answer:

Correct Answer: B

Solution:

  • Q=EC2(1et/τ)

    I2=εC2ret/τ=εRet/τ

    I1=VcR=ε/2R(1et/τ)

    I1=εRet/τ+ε2Rε2Rεt/τ

    ε2R(1+et/τ)=ε2R(1+e2tCR)



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