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Complete Question

An L-C circuit has an inductance of 0.350 H and a capacitance of  0.290 nF . During the current oscillations, the maximum current in the inductor is 2.00 A .

What is the maximum energy [tex]E_{max}[/tex] stored in the capacitor at any time during the current oscillations?

Express your answer in joules.

Answer:

The value is   [tex]E_{max} =   0.7 J [/tex]

Explanation:

From the question we are told that

   The inductance is [tex]L  =  0.350 \  H[/tex]

    The capacitance is [tex]C =  0.290 \ nF =  0.290 *10^{-9 } \ F[/tex]

   The current is  [tex]I  = 2 \ A[/tex]

Generally the maximum energy is mathematically represented as

        [tex]E_{max} =  \frac{1}{2}  *  L  *  I^2[/tex]

=>       [tex]E_{max} =  \frac{1}{2}  *   0.350  *  2^2[/tex]

=>     [tex]E_{max} =   0.7 J [/tex]

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