MHT CET202521 Apr 2025Morning ShiftPhysicsAlternating CurrentActual
If maximum energy is stored in a capacitor at t =0 then the time after which, current in the circuit will be maximum is
Options
- A10⁻³ ~s
- B2 10⁻³ ~s
- C2 10⁻⁴ s
- D10⁻⁴ ~s
Correct answer
C. 2 10⁻⁴ s
Step-by-step solution
The angular frequency of an LC circuit is given by = 1 LC . Given L = 16 10⁻³ H and C = 10 10⁻⁶ F, the product is LC = 1.6 10⁻⁷ s ^2 . The angular frequency becomes = 1 1.6 10⁻⁷ = 2500 rad/s. At t=0 , maximum charge on the capacitor implies Q(t) = Q₀ ( t) . The current is I(t) = - dQ dt = Q₀ ( t) , which reaches its maximum magnitude when ( t) = 1 . The first maximum occurs at t = 2 , giving t = 2 = 5000 s. This corresponds to one-quarter period T/4 since T = 2 LC = 8 10⁻⁴ s, yielding t = 2 10⁻⁴ s. The correct choi