Question

In a variable inductive transducer of coil has an inductance of $1.8mH$, when the effective turns on the coil is $25$. The inductance of the coil $\left(inmH\right)$ when the measured effective turns on the coil $50$ is

• A. 7.2

Answer 1

The correct option is A 7.2
$\text{We know relation of variable inducitve transducer}$

$L\propto \frac{N^2}{R}$

$L_1=1.8mH$ $N_1=25turns$ $N_2=50turns$

$\frac{L_1}{L_2}=\frac{N_1^2}{N_2^2}$

$L_2=\frac{L_1\times N_2^2}{N_1^2}$

$=\frac{1.8\times {10}^{-3}\times (50{)}^2}{(25{)}^2}$

$=1.8\times {10}^{-3}\times (2{)}^2$

$=7.2\times {10}^{-3}$

$L_2=7.2mH$