please answer 4, 5 and 6 in detail and show work 4. An ac generator has a freque

Question

please answer 4, 5 and 6 in detail and show work

4. An ac generator has a frequency of 5.60 kHz and produces a current of 53.0 mA in a series circuit that contains a 21842 resistor and a 0.100-F capacitor. Obtain (a) the voltage of the generator and (b) the phase angle between the current and the voltage 5. A series RLC-circuit has a capacitance of 1.20 F and an inductance of 2.00 mH. What is the resonance frequency of the circuit? 6. The ratio of the inductive reactance to the capacitive reactance is observed to be 5.36 in a series RLC-circuit. The resonance frequency of the circuit is 225 Hz. What is the frequency of the generator that is connected to the circuit?

Explanation / Answer

4. Xc = 1 / (2 pi f C )

Xc = 1 / (2 x pi x 5.60 x 10^3 x 0.10 x 10^-6)

Xc = 284.2 ohm

Z = sqrt(Xc^2 + R^2) = 358.2 ohm

(A) V = I Z = 19 Volt

(b) tan(theta) = Xc /R

theta = 52.5 deg

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