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(A) In a mechanical system undergoing forced oscillations,the differential equation is given by $m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = F_0 \sin

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Charge $q$

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(A) In a mechanical system undergoing forced oscillations,the differential equation is given by $m \frac{d^2x}{dt^2} + b \frac{dx}{dt} + kx = F_0 \sin(\omega t)$.In an $LCR$ series circuit,the differential equation for charge $q$ is given by $L \frac{d^2q}{dt^2} + R \frac{dq}{dt} + \frac{q}{C} = V_0 \sin(\omega t)$.Comparing these two equations,we can see that the charge $q$ in the $LCR$ circuit is analogous to the displacement $x$ in the mechanical system.Therefore,the physical quantity that corresponds to displacement $x$ is charge $q$.

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

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