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A resistance R = 10Ω, a capacitor C = 15μF, an inductor of L = 38mH,...

A resistance R = 10Ω, a capacitor C = 15μF, an inductor of L = 38mH, and an alternating current source with a voltage amplitude of 50V to 160Hz are connected in series.
A- Calculate the angular frequency of the source
B- Calculate the XL, XC, and Z impedance reactances
C- Calculate the lag between the circuit current and the source voltage
D- Calculate the amplitude of the circuit current and express the circuit current as a function of time
E- Express the voltages of the circuit (voltage in the resistor VR, voltage in the inductor VL, voltage in the capacitor Vc ,, and the voltage provided by the source VF) as functions of the time using the current as a reference.
F- Verify that at t = 0, VR + VL + VC = 0
G- Verify that the average power provided by the source is equal to the power dissipated in the resistance
H- Calculate the resonance frequency of this circuit, and calculate the circuit current when it is in resonance.

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