A capacitor charged to is disconnected from its supply and discharged through a bleed…

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electric current and circuits · Electromagnetic induction and alternating-current circuits

Electricity, Magnetism and Electromagnetism, Ch Transients: RC, RL and LC circuits

Problem

2200\,\mu\mathrm{F}

capacitor charged to

12\,\mathrm{V}

is disconnected from its supply and discharged through a

1.5\,\mathrm{k}\Omega

bleed resistor. The wires have no resistance. ((a)) How long does it take for the charge on the capacitor to fall to

10\%

of its starting value? ((b)) Instead of the resistor, the charged capacitor is connected across a coil of self-inductance

0.50\,\mathrm{H}

whose resistance is negligible. Find the natural angular frequency

\omega_0

and the frequency

f

of the oscillation that follows.

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