What will be the impedance of the circuit sho | vedclass

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(C) The circuit consists of an inductor and a capacitor connected in parallel to an $AC$ voltage source of $V = 75 \, V$.The current through the induc

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$25$

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(C) The circuit consists of an inductor and a capacitor connected in parallel to an $AC$ voltage source of $V = 75 \, V$.The current through the inductor is $i_L = 5 \, A$ and the current through the capacitor is $i_C = 2 \, A$.In a parallel $LC$ circuit,the currents $i_L$ and $i_C$ are $180^{\circ}$ out of phase. Therefore,the net current $i_{LC}$ drawn from the source is the difference between the magnitudes of the two currents:$i_{LC} = |i_L - i_C| = |5 \, A - 2 \, A| = 3 \, A$.The equivalent impedance $Z$ of the parallel combination is given by Ohm's law:$Z = \frac{V}{i_{LC}} = \frac{75 \, V}{3 \, A} = 25 \, \Omega$.Thus,the impedance of the circuit is $25 \, \Omega$.

What will be the impedance of the circuit shown below in $\Omega$?

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