Answered

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 :

Answer:

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

Explanation:

The current through the circuit is given as;

[tex]I = \frac{V}{Z}[/tex]

Where;

V is the voltage in the AC circuit

Z is the impedance

[tex]Z = \sqrt{R^2 + X_L^2}[/tex]

Where;

R is the resistance

[tex]X_L[/tex] is the inductive reactance

[tex]X_L[/tex] = ωL = 2πfL

where;

L is the inductance

f is the frequency of the source

Finally, the current in the circuit is given as;

[tex]I = \frac{V}{\sqrt{R^2 + (2\pi fL)^2} }[/tex]

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.

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