Question

A resistance of 60 Ohms is connected in series with an inductive reactance of 50 Ohms and a capacitive reactance of 40 Ohms. What is the impedance of the circuit?

Answer 1

Answer: 60. 83 ohms.

Explanation:

The impedance of the circuit is represented by symbol 'Z' .

The impedance (Z) of the circuit can be calculated by using the formula

$Z = \sqrt{R^2 +( X_L - X_C)^2 }$

where::

• R is Resistance
• XL is Inductive reactance
• XC is Capacitive reactance

Given that A resistance of 60 Ohms is connected in series with an inductive reactance of 50 Ohms and a capacitive reactance of 40 Ohms.

Substitute the given values

$Z = \sqrt{(60)^2 +( 50 - 40)^2 }$

$Z = \sqrt{3600 +( 10)^2 }$

$Z = \sqrt{3600 +100 }$

$Z = \sqrt{3700}$

$Z = 60. 83 \: \Omega$

Hence, the impedance of the circuit is 60. 83 ohms.