Which of the following statements are correct for the RC circuit shown? (Give AL

Question

Which of the following statements are correct for the RC circuit shown? (Give ALL correct answers, e. g., BCD) Right after S is moved to the position b, following a long time in the position a, the current through R is epsilon/R. After S is moved to b, it takes a time tau = RC, for the charge on C to drop 1/e of its initial value. If S is in the position a for a long time, the current through R approaches zero. Right after S is moved to the position b, following a long time in the position a, the potential across C is nearly zero. Right after S is moved to the position b, following a long time in the position a, the current through R is zero. Right after S is moved to the position a, following a long time in the position b, the current through R is zero. If S is in the position b for a long time, the charge on C approaches CE.

Explanation / Answer

A) Incorrect: I(t) = (Qo/RC) e-t/ = Io e-t/

After pushing switch to b, capacitor charges hence current decreases. After long time I=0 A

B) Correct: Use equation, I(t) = (Qo/RC) e-t/ = Io e-t/RC

When t= RC , I(t) = Io e-RC/RC = = Io e-1

C) Correct: I(t) = (Qo/RC) e-t/ = Io e-t/

After pushing switch to b, capacitor charges hence current decreases. After long time I=0 A

D) Incorrect: Since potential at C is E because when S is push at b , capacitor was charged to potential V. Thus after pushing S at a capacitor has potential = V

E) Correct: Since now both sides of the R have equal potentials

F) Correct: Since now both sides of the R have equal potentials

G) Correct: After pushing switch to b, capacitor charges hence voltage at capacitor = V and charge Q= CV= CE

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