Chapter 21, Problem 61P

To determine

The resistance of a coil

Answer to Problem 61P

Solution:

The resistance of coil will be $R=203\text{Ω}$

Explanation of Solution

Given Info:

$\begin{array}{l}R=235\text{Ω}\\ X_L=115\text{Ω}\end{array}$

Formula used:

$Z=\sqrt{R^2+X^2{}_L}$

Where,

$\begin{array}{l}R=235\text{Ω}\\ X_L=115\text{Ω}\end{array}$

Calculation:

$R=\sqrt{Z^2-X_L^2}$

$\begin{array}{l}Z=\sqrt{{\left(235\right)}^2-{\left(115\Omega \right)}^2}\\ =203\Omega \end{array}$