Alternating Current Circuits

tan =

The current leads voltage by 450,

∴tan 45=

C=

Therefore, the correct option is (C):

The voltage across an inductor ( ) is given by:

Given :

Therefore:

To compute the current and phase angle in a series AC circuit with resistive, capacitive, and inductive components, let's start by identifying the parameters:

• Voltage ( ): 220 V
• Resistor ( ): 20
• Capacitive reactance ( ): 25
• Inductive reactance ( ): 45

Firstly, calculate the net reactance :

Now, find the impedance of the circuit using the formula:

The current in the circuit is given by Ohm’s Law:

Finally, calculate the phase angle using the tangent function:

Thus, the current in the circuit is approximately 7.8 A, and the phase angle between the current and voltage is . Therefore, the answer is: