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An LC circuit consists of an inductor of 2.0 mH and a capacitor of…

Question

An LC circuit consists of an inductor of 2.0 mH and a capacitor of 8.0 microfarad oscillating freely. The maximum charge on the capacitor during oscillation is 5.0 microcoulomb. Find the maximum current (in milliamperes) in the circuit.

✓ Verified answer: 39.528471checked by our engine — not a guess

Step-by-step solution

Angular frequency omega = 1/sqrt(LC) = 1/sqrt(2.0e-3 x 8.0e-6) = 1/sqrt(1.6e-8) = 1/1.2649e-4 = 7905.7 rad/s.
Maximum current I0 = Q0 * omega = 5.0e-6 x 7905.7 = 3.95285e-2 A = 39.5285 mA.

Final answer39.5285

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