Question

single phase ac voltage of 240 v is applied to a series circuit whose impedance is 10 60 find the resistance

Answer 1

Complete question

Single phase ac voltage of 240 v is applied to a series circuit whose impedance is 10<60 find the resistance

Answer:

`R=5 ohms`

Step-by-step explanation:

From the question we are told that

Voltage
`V=240`

Impedance
`Z= 10<60`

General converting from polar to Cartesian form is given by

`X=r*cos \theta`

`Y = r * sin\theta`

Therefore

`X=10 cos 60\texdegree`

`X=5`

`Y = 10 sin 60\textdegree`

`Y = 8.660`

Therefore

`Z=5+j8.660`

Generally the equation impedance is mathematically given as

`Z=R+jX`

where

R is Resistance

X is Reactance

Therefore

`R=5 ohms`