Question

Two identical capacitor A and B are charged to the same potential and then made to discharge through resistance $R_A$ and $R_B$ respectively, with $R_A>R_B$

• A. a will require greater time than B to discharge completely
• B. more heat will be produced in A than in B
• C. more heat will be produced in B than in A
• D. all the above options are incorrect

Answer 1

Answer: (D)

all the above options are incorrect

Discharging equation : $Q_A=Q_0{e}^{-t/C{R}_A},Q_B=Q_0{e}^{-t/C{R}_B}$
time constant, ${\tau }_A=C{R}_A$ and ${\tau }_B=C{R}_B$
as $R_A>R_B$ so ${\tau }_A>{\tau }_B$
Thus A will discharge slowly than B but they will discharge completely at $t=\infty$.
As they have same capacitance and potential so in both case heat energy will be same.