A capacitor, initially uncharged, is charged through a resistor from an ideal battery…

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

100\,\mathrm{nF}

capacitor, initially uncharged, is charged through a

47\,\mathrm{k}\Omega

resistor from an ideal

5.0\,\mathrm{V}

battery of negligible internal resistance; the wires have no resistance. ((a)) Find the time constant of the charging circuit, and the time taken for the charge to reach half its final value. ((b)) The charged capacitor is then connected across an ideal coil of self-inductance

25\,\mathrm{mH}

and negligible resistance. Find

\omega_0

and

f

for the resulting oscillation.

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