MHT CET202617 April 2026Evening ShiftPhysicsCapacitanceActual
If the equivalent capacitance between points A and B of the combination of capacitors shown in figure, is 6C, the capacitor C^1 is
Options
- A9C
- B15C
- C18C
- D24C
Correct answer
C. 18C
Step-by-step solution
The capacitors 2C , 3C , and 4C are connected in parallel. Their equivalent capacitance is: C_p = 2C + 3C + 4C = 9C This combination is in series with C^1 . The total equivalent capacitance between A and B is 6C . Using the formula for series combination: 1 C_ eq = 1 C_p + 1 C^1 1 6C = 1 9C + 1 C^1 1 C^1 = 1 6C - 1 9C 1 C^1 = 3 - 2 18C = 1 18C C^1 = 18C Answer: 18C