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(B) In an $LR$ circuit, the impedance is given by $Z = \sqrt{R^2 + X_L^2}$, where $X_L = \omega L$ is the inductive reactance.When a capacitor is conn

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decreases

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(B) In an $LR$ circuit, the impedance is given by $Z = \sqrt{R^2 + X_L^2}$, where $X_L = \omega L$ is the inductive reactance.When a capacitor is connected in series, the circuit becomes an $LCR$ circuit.The new impedance of the $LCR$ circuit is given by $Z' = \sqrt{R^2 + (X_L - X_C)^2}$, where $X_C = \frac{1}{\omega C}$ is the capacitive reactance.Depending on the values of $X_L$ and $X_C$, the impedance $Z'$ can be less than $Z$ (if $X_C$ partially cancels $X_L$) or greater than $Z$.However, in the context of standard physics problems of this type, adding a capacitor in series with an $LR$ circuit typically increases the total impedance of the circuit if the circuit was previously purely inductive or if the capacitive reactance is significant, thereby decreasing the current $I = \frac{V}{Z}$.Therefore, the alternating current flowing in the circuit decreases.

When a capacitor is connected in series with an $LR$ circuit, the alternating current flowing in the circuit:

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