MHT CET20227 Aug 2022Evening ShiftPhysicsAlternating CurrentActual
A one microfarad condenser is charged to 50 ~V . The charging battery is then disconnected and a 10 mH coli is connected across the capacitor so that LC oscillations occur. What is the maximum current in the coil? Assume that the circuit contains no resistance.
Options
- A0.75 ~A
- B0.25 ~A
- C0.50 ~A
- D1.00 ~A
Correct answer
C. 0.50 ~A
Step-by-step solution
aligned & q C =- L di dt =(- L ) dq dt = di dq _ Q ₀ ^0 qdq =(- LC ) ₀^ i idi & . q ^2 2 |_ Q ₀ ^0= .(- LC ) i ^2 2 |₀ ^ i ^ max 0- Q ₀^2=(- LC ) ( i _ ^2 ) & i _ = Q ₀ LC = CV LC =50 1 10⁻⁶ ~F 10 10⁻³ H & =50 10⁻² ~A & i =0.5 ~A aligned