Question

In an experiment, 200 V A.C. is applied at the ends of an LCR circuit. The circuit consists of an inductive reactance (X_L) = 50 Ω, capacitive reactance (X_C) = 50 Ω and ohmic resistance (R) = 10 Ω. The impedance of the circuit is ______.

विकल्प

• 10 Ω

• 20 Ω

• 30 Ω

• 40 Ω

Answer 1

In an experiment, 200 V A.C. is applied at the ends of an LCR circuit. The circuit consists of an inductive reactance (X_L) = 50 Ω, capacitive reactance (X_C) = 50 Ω and ohmic resistance (R) = 10 Ω. The impedance of the circuit is 10 Ω.

Explanation:

We know that impedance of the LCR circuit

(Z) = `sqrt({("X"_"L"-"X"_"C")^2+"R"^2})`

= `sqrt({(50-50)^2+(10)^2})`

= 10 Ω