In the circuit shown in Figure P32.55, the current amplitude through the (R L) branch is the

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In the circuit shown in Figure P32.55, the current amplitude through the \(R L\) branch is the same as that through the \(R C\) branch. If \(R=10.0 \Omega\) and \(C=50.0 \mu \mathrm{F}\), and the source operates at \(\omega=80.0 \mathrm{~s}^{-1}\), what is the inductance \(L\) ?

Data from Figure P32.55

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