# Calculating maximum voltage, current and energy

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Please help with the following problem. Step by step calculations are given.

An L-C circuit consists of a 60.0 mH inductor and 250 µF capacitor. The initial Charge in the capacitor is 6.00 µC and initial current in the inductor is zero.

a) What is the maximum voltage across the capacitor?

b) What is the maximum current in the inductor?

c) What is the maximum energy stored in the inductor?

d) When the current ion the inductor has half its maximum value, what is the charge on the capacitor and what is the energy stored in the inductor?

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This solution calculates maximum voltage, current and energy. Step by step calculations are given in this solution.

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a) What is the maximum voltage across the capacitor?

Voltage across the capacitor is given by the relation, Q/V = C

where Q is the charge stored, V is the potential and c is the capacitance

So, V = Q/C = 6*10^-6/250*10^-6 = 6/250 = 0.024 Volt -- Ans

b) What is the maximum current in the inductor?

Frequency of oscillation is omega = 1/sqrt(LC) = ...

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