Answer:
the impedance of the circuit is 25.7 ohms.
Explanation:
It is given that,
Voltage, V = 50 volts
Frequency, f = 60 Hz
Resistance, R = 25 ohms
Capacitive resistance, [tex]X_C=18\ ohms[/tex]
Inductive resistance, [tex]X_L=24\ ohms[/tex]
We need to find the impedance of the circuit. It is given by :
[tex]Z=\sqrt{R^2+(X_L-X_C)^2}[/tex]
[tex]Z=\sqrt{25^2+(24-18)^2}[/tex]
Z = 25.7 ohms
So, the impedance of the circuit is 25.7 ohms. Hence, this is the required solution.