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(C) Given: Voltage $V = 30 \cos(2000t) 	ext{ V}$, so peak voltage $V_0 = 30 	ext{ V}$.Angular frequency $\omega = 2000 	ext{ rad/s}$.Circuit compon

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$3 	ext{ A}$

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(C) Given: Voltage $V = 30 \cos(2000t) 	ext{ V}$, so peak voltage $V_0 = 30 	ext{ V}$.Angular frequency $\omega = 2000 	ext{ rad/s}$.Circuit components: Resistance $R = 6 \Omega + 4 \Omega = 10 \Omega$, Inductance $L = 5 	ext{ mH} = 5 	imes 10^{-3} 	ext{ H}$, Capacitance $C = 50 \mu	ext{F} = 50 	imes 10^{-6} 	ext{ F}$.Inductive reactance $X_L = \omega L = 2000 	imes 5 	imes 10^{-3} = 10 \Omega$.Capacitive reactance $X_C = \frac{1}{\omega C} = \frac{1}{2000 	imes 50 	imes 10^{-6}} = \frac{1}{0.1} = 10 \Omega$.Impedance $Z = \sqrt{R^2 + (X_L - X_C)^2} = \sqrt{10^2 + (10 - 10)^2} = \sqrt{100} = 10 \Omega$.Amplitude of current $I_0 = \frac{V_0}{Z} = \frac{30}{10} = 3 	ext{ A}$.

In the circuit shown below, the ac source has voltage $V = 30 \cos(\omega t) \text{ V}$ with $\omega = 2000 \text{ rad/s}$. What will be the amplitude of the current?

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