# RLC Circuit Current Determination

**Electricity and Magnetism**Level 4

An RLC circuit was prepared with an AC power supply that has a voltage (\(V_s\)) of \(20V\) and a frequency (\(f\)) of \(45Hz\). The circuit consists of resistors (\(R\)), capacitors (\(C\)), and inductors (\(L\)). The resistor resistances are as follows: \(R_{I}=2Ω\), \(R_{II}=4Ω\), and \(R_{III}=3Ω\). The inductors have the following inductances: \(L_{I}=\frac{4}{\pi}H\) and \(L_{II}=\frac{12}{\pi}H\). The capacitors have these capacitances: \(C_{I}=\frac{30}{\pi}μF\), \(C_{II}=\frac{90}{\pi}μF\), and \(C_{III}=\frac{180}{\pi}μF\).

What is the peak current (\(I\)) of this circuit in \(mA\)?

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