99 Percentile Qs Bank for JEE MainPhysicsCapacitance
The charge on each of the capacitors, 0 . 20   ms after the switch S is closed in figure is
Options
- A24   μC .
- B16 . 8   μC .
- C10 . 37   μC .
- D4 . 5   μC .
Correct answer
C. 10 . 37   μC .
Step-by-step solution
Here, both the capacitors are in parallel so that, we can replace it with their equivalent. So, this circuit can be drawn like this. As the capacitor is being charged, Q = C V ( 1 - e - t RC ) R =   25   Ω C = 4   μF R C = ( 25 ) ( 4 ) × 10 - 6 R C = 10 - 4   s R C = ( 0 · 1 )   ms . After time, t = 0 . 2   ms , Q = ( 6 ) ( 4 ) × 10 - 6 1 - e - 0 . 2 0 . 1 Q = 24 × 10 - 6 ( 1 - ( 0 . 37 ) ( 0 . 37 ) ) Q = 24 × 10 - 6 ( 1 - 0 . 13 ) Q = 20 . 74