Question

At instant t = 0 second, 4A current flows in inductor coil and this coil is parallelly connected with 6 $\Omega$ & 3 $\Omega$ resistance. Find total heat developed in 6$\Omega$ resistor during discharging ?

• A. 16 J
• B. 32 J
• C. 48 J
• D. 8 J

Answer 1

The correct option is A 16 J

$U=\frac{1}{2}L{i}^2$ & $Heat\left(H\right)=\frac{V^2}{R}\left(dt\right)$
$U=\frac{1}{2}L{i}^2=\frac{1}{2}\times 6\times 4\times 4=48Joule$
Time for both the resistance will be same therefor neglecting it in ratio. $\frac{H_1}{H_2}=\frac{V^2/R_1}{V^2/R_2}=\frac{R_2}{R_1}=\frac{3}{6}=\frac{1}{2}$ ..(i)
$H_1+H_2=48$
from equation (i),
$H_1+2H_1=48$
$H_1=16J$