Chapter 21, Problem 38P

To determine

To find the inductance of a coil.

Answer to Problem 38P

Solution:

The inductance of the coil is 0.5932 H.

Explanation of Solution

Given:

emf, e = 2.5 V

Time, t = 4 ms = 14 × 10^-3 s

Change in current, DI = - 28 mA+ 31 mA = 31 - (- 28)= 59 mA = 59 × 10^-3 A

Formula used:

$L=\epsilon \frac{t}{\Delta I}$

Calculation:

We know that the inductance (L)is given by the relation,

$L=\epsilon \frac{t}{\Delta I}$

Substituting the values of e, t and DI in the above relation, we get,

$L=2.5\times \frac{14\times {10}^{-3}}{59\times {10}^{-3}}=0.5932\text{ H}$