Question

The AC voltage source is connected to an inductor and a resistor in series. If the frequency of the source is increased the current in the circuit will _________.

Answer 1

If the frequency of the source is increased the current in the circuit will decrease.

Step-by-step explanation:

The current through the circuit is given as;

`I = (V)/(Z)`

Where;

V is the voltage in the AC circuit

Z is the impedance

`Z = √(R^2 + X_L^2)`

Where;

R is the resistance

`X_L` is the inductive reactance

`X_L` = ωL = 2πfL

where;

L is the inductance

f is the frequency of the source

Finally, the current in the circuit is given as;

`I = (V)/(√(R^2 + (2\pi fL)^2) )`

From the equation above, an increase in frequency (f) will cause a decrease in current (I).

Therefore, If the frequency of the source is increased the current in the circuit will decrease.