Question

A resistor and capacitor are connected in series across an ac generator. The voltage of the generator is given by V(t) = Vocos(wt), where Vo = 120V, w=1207 rad/s, R= 800N, and C =9uF. (a) What is the magnitude of the impedance of the RC circuit? (b) What is the amplitude of the current through the resistor? (e) What is the phase difference between the voltage and current? The magnitude of the impedance is 311.20 12. The amplitude of the current through the resistor is 385.6 mA. The phase difference between the voltage and current is | rad. (Take the positive phase difference to mean that voltage is leading the current by this phase difference. If there are multiple possible values, enter the largest one).

for part C: the answer is not 0.37098, is not 21.256, is not 1.16546. please help me to find the write answer. I tried to formula where I divide part a with R which is 311.20/800=tan^-1(0.389) is wrong!

Answer 1

R I w Vo Cosent xe - Wc Given that, v (7) V, -]20 V N = 120 7 rad/s = 800 12 a = 9 NF Now, the capacitive reactance, We 1200x9x107 = 294.732 a) The magnitude of the i de of the impeden lence of the RC circuit is, 2 = VR² + x² ✓ (800) 294.732 = 852.56 2 b) The amplitude of the current through the resistor is, 120 Io 040-4 2 852.56 =14075 A = 140• 75 A and current is c) The please difference between the voltage Xe Ø = tom? z tam! ( 294.75 ) No 20:224 = 20·224x7 road 180° 0-352 rad CS Scanned with CamScanner