Question

An l -r -c series circuit has source voltage amplitude v = 250 v , and the voltage amplitudes for the inductor and capacitor are vl = 310 v and vc = 200 v . What is the phase angle?

Answer 1

To find the phase angle in an L-R-C series circuit, you would typically use the voltages across the inductor and capacitor along with the circuit's resistance. However, since the resistance value is not provided, the phase angle cannot be calculated with the given information.

Step-by-step explanation:

To find the phase angle in an L-R-C series circuit, you can use the voltages across the inductor (VL) and capacitor (VC). These voltages are out of phase by 180°, and when they are not equal, their difference combined with the source voltage (V) will determine the overall phase angle of the circuit, using vector addition.

Given that VL = 310 V, VC = 200 V, and V = 250 V, we can use these values to calculate the phase angle φ using the relationship:

tan(φ) = ΩL - 1/(ΩC) / R

However, the resistance (R) is not provided in the question. Normally, to find the phase angle, we calculate the net reactance (X) which is the difference between the inductive reactance (XL) and capacitive reactance (XC), X = XL - XC, and use it with the resistance to find the tangent of the phase angle. Without resistance the calculation cannot be completed.