Question

In the circuit shown in the figure switch S is closed at time t = 0. Select the wrong statements-

• A. Rate of increase of charge is same in both the capacitors
• B. Ratio of charge stored in capacitors C and 2C at any time t would be 1 : 2
• C. Time constants of both the capacitors are equal
• D. Steady state charge in capacitors C and 2C are in the ratio of 1 : 2

Answer 1

Answer: (A)

Rate of increase of charge is same in both the capacitors

Answer 2

Time constant Ž = 2CR , = 2CR

q₁ = CE (1 –)

q₂ = 2 CE (1 – $e ^ { - \frac { t } { 2 C R } }$ ) \ $\frac { \mathrm { q } _ { 1 } } { \mathrm { q } _ { 2 } } = \frac { 1 } { 2 }$

, $\frac { \mathrm { dq } _ { 2 } } { \mathrm { dt } } = \frac { 2 \mathrm { CE } } { \tau _ { \mathrm { C } } } \mathrm { e } ^ { - \frac { \mathrm { t } } { \tau _ { \mathrm { C } } } }$

\ $\frac { \mathrm { dq } _ { 1 } } { \mathrm { dt } } \neq \frac { \mathrm { dq } _ { 2 } } { \mathrm { dt } }$