Question

R-c series circuit has resistance of 16 ohm and reactance of 12 ohm. The impedance of the circuit is

Answer 1

The impedance of the circuit is 20 ohms.

Given : R-c series circuit has resistance of 16 ohm and reactance of 12 ohm

To find : The impedance of the circuit.

Solution :

We can simply solve this numerical problem by using the following process. (our goal is to calculate the impedance of the circuit)

Here, we will be using the following mathematical formula.

$Z = \sqrt{{R}^{2} + {X_{c}}^{2} }$

Here,

Z = Impedance

R = Resistance

$X_{c}= capacitive \: \: treactance$

By, putting the available values in the above mentioned mathematical formula, we get :

$Z = \sqrt{ {16}^{2} + {12}^{2} }$

$Z = \sqrt{256 + 144 }$

$Z = \sqrt{400}$

$Z = 20 \: ohms$

(This will be considered as the final result.)

Hence, the impedance of the circuit is 20 ohms.