JEE Advanced 2014 Paper 1 Physics Q1

Physics · Electrostatic Potential & Capacitance · Current Electricity

Problem

At time

t=0

, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current

I(t)=I_0\cos(\omega t)

, with

I_0=1\,\mathrm{A}

and

\omega=500\,\mathrm{rad\,s^{-1}}

, starts flowing in it with the initial direction shown in the figure. At

t=\dfrac{7\pi}{6\omega}

, the key is switched from B to D. Now onwards only A and D are connected. A total charge

Q

flows from the battery to charge the capacitor fully. If

C=20\,\mu\mathrm{F}

R=10\,\Omega

and the battery is ideal with emf of

50\,\mathrm{V}

, identify the correct statement(s).