Two identical capacitors A and B, charged to the same potential 5V are connected in two different circuits as shown below at time t = 0 . If the charge on capacitors A and B at time t = CR is Q _ A and Q _ B

Question

Quantrex Academy · Accepted Answer

Correct answer: C. Q _ A = VC, Q _ B = (VC)/(e)

Charge on capacitor after charging with a battery of potential $V$ , $Q = CV$

Now, capacitor $A$ is connected as shown in the figure.

Two identical capacitors A and B, charged to the same potential 5V are connected in two different circuits as shown

As diode is in reverse bias, so capacitor charge remains same after time $t = CR$ .

$∴ {Q}_{A} = CV$

In case $B$ , capacitor is connected as shown in the figure.

Two identical capacitors A and B, charged to the same potential 5V are connected in two different circuits as shown

Here, diode is in forward bias, so capacitor discharges and its charge decays as

${Q}_{B} = Q \cdot e\dfrac{- t}{RC}$

where, $t = RC$

Two identical capacitors A and B, charged to the same potential 5V...

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