Differentiate Equation 28.9 to find the current in the LC circuit, and use q = CV to
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Differentiate Equation 28.9 to find the current in the LC circuit, and use q = CV to find the voltage. From these, obtain the electric energy in the capacitor and the magnetic energy in the inductor, and sum to show that the total energy remains constant. (You’ll need Equation 28.10 and a familiar trig identity.)
Equation (28.9) q = qp cos ωt
Equation (28.10) ω = 1√LC
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The total energy remains constant in the LC circuit Explanation of Solution Write the expression for ...View the full answer
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