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(A) In an $LCR$ series circuit,the differential equation for the charge $q$ is given by $L \frac{d^2q}{dt^2} + R \frac{dq}{dt} + \frac{q}{C} = E(t)$.C

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Inductance $L$

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(A) In an $LCR$ series circuit,the differential equation for the charge $q$ is given by $L \frac{d^2q}{dt^2} + R \frac{dq}{dt} + \frac{q}{C} = E(t)$.Comparing this with the equation for a forced mechanical oscillator,$m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = F(t)$,we can identify the analogous quantities.The term involving the second derivative of the displacement $x$ is $m \frac{d^2x}{dt^2}$,which corresponds to $L \frac{d^2q}{dt^2}$ in the electrical circuit.Therefore,the physical quantity that corresponds to mass $m$ is the self-inductance $L$.

Give the name of the physical quantity in an $LCR$ circuit that corresponds to mass $m$ in forced oscillations.

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