a resistor of 50 ohm an inductor of 20/pi h and a capacitor of 5/pi microfarad are connected in series to an ac source 230v 50hz find the current in circuit
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Dear Student,
◆ Answer -
I = 4.6 A
◆ Explaination -
In given LCR circuit -
Xl = 2πfL
Xl = 2π × 50 × 20/π
Xl = 2000 ohm
Also,
Xc = 1/(2πfC)
Xc = 1 / (2π × 50 × 5/π × 10^-6)
Xc = 2000 ohm
Impendence of circuit will be -
Z = √[R^2 + (Xl-Xc)^2]
Z = √[50^2 + (2000-2000)^2]
Z = √(50^2)
Z = 50 ohm
Current in the circuit will be -
I = V / Z
I = 230 / 50
I = 4.6 A
Therefore, current in the circuit is 4.6 A.
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