Question

In an L-C-R circuit, 100 volt alternating voltage
is applied between end points. In circuit
inductive reactance is XL = 20 ohm,
capacitance reactance is XC = 20 ohm and
resistance is of 5 ohm. The impedance of circuit
will be
(A) 20 ohm
(B) 5 ohm
(C) 15 ohm
(D) 45 ohm​

Answer 1

Answer: (B) 5 ohm

Assuming elements are connected in series,

Explanation:

We have,

$Inductive\:Reactance, X_L=20\Omega \\ \\Inductive \:\: Capacitance, X_C=20 \Omega \\ \\Resistance, R = 5 \Omega$

We have,

The general form of Impedance ,is given by

$Z = R + j(X_L-X_C) \\ \\ = 5 + j(20-20) \\ \\ = 5 \Omega$

Since, Z is real.

We can say net impedance of the circuit is purely resistive .

Answer 2

Answer:

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