MHT CET20225 Aug 2022Evening ShiftPhysicsCapacitanceActual
Four capacitors each of capacity 2 F are connected as shown in the figure V _ A - V _ B =10 ~V . The energy stored in the system is
Options
- A40 10⁻⁸ ~J
- B625 10⁻⁶ ~J
- C6250 10⁻⁷ ~J
- D400 10⁻⁷ ~J
Correct answer
D. 400 10⁻⁷ ~J
Step-by-step solution
The combination of parallel resistors is C _ | =2 F +2 F =4 F To find the equivalent capacitance of the circuit, we consider series combination: aligned & 1 C _ eq = 1 2 F + 1 4 F + 1 2 F = 2+1+2 4 F & C _ eq = 4 5 F aligned aligned & Energy stored = c _ eq v ^2 2 = 4 10⁻⁶ ~F (10)^2 ~V ^2 5 2 & =40 10⁻⁶ ~J =400 10⁻⁷ ~J aligned