SATHEE: Electro Magnetic Induction And Alternating Currents Question 181

Electro Magnetic Induction And Alternating Currents Question 181

Question: The two capacitors, shown in the circuit, are initially uncharged and the cell is ideal. The switch S is closed at t=0. Which of the following functions represents the current i(t) through the cell as a function of time? Here $i_{0},, i_{1},, i_{2}$ are constants.

Options:

A) $i (t) = i_{0} + i_{1} e^{- t / τ}$ ; $τ = 3 C \times \frac{R}{3}$

B) $i (t) = i_{0} + i_{1} e^{- t / τ} + i_{2} e^{- t / 2 τ}$ ; $τ = R C$

C) $i (t) = i_{1} + i_{1} e^{- t / τ}$ ; $τ = 3 C \times \frac{R}{3}$

D) $i (t) = i_{0} + i_{1} e^{- t / τ}$ ; $τ = 3 R C$

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Answer:

Correct Answer: B

Solution:

The three branches of the circuits carry currents $i = i_{0}$ , $i = i_{1}, e^{t / R C}$ and $i = i_{2}, 2 e^{- t / 2 R c}$ respectively. The current through the cell, i(t) can be found by using Kirchhoff’s current law (or mode law).

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Electro Magnetic Induction And Alternating Currents Question 181

Question: The two capacitors, shown in the circuit, are initially uncharged and the cell is ideal. The switch S is closed at t=0. Which of the following functions represents the current i(t) through the cell as a function of time? Here i0,,i1,,i2 are constants.

Options:

Answer:

Solution:

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Question: The two capacitors, shown in the circuit, are initially uncharged and the cell is ideal. The switch S is closed at t=0. Which of the following functions represents the current i(t) through the cell as a function of time? Here $i_{0},, i_{1},, i_{2}$ are constants.