417 In an RC circuit the voltage across the capacitor Vc lag
4-17. In an RC circuit, the voltage across the capacitor Vc lags the voltage across the resistor by -90 degree as shown in Fig. P4.17. If V R = 20 V and Vc = 5 V. find the total voltage V = VR + VC Figure P4.17 Voltage phasor diagram of RC circuit.
Solution
|V| = sqrt(Vr^2 + Vc^2)
|V| = sqrt(20^2 + 5^2)
|v| = sqrt(425)
|V| = sqrt(25)*sqrt(17)
|V| = 5*sqrt(17)
angle = theta = atan(5/20) = atan(1/4) = 14.036 degrees
So, the voltage V is given by :
5*sqrt(17) <14.036 degrees ---> ANSWER
