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Time -Varying current in L-R circuit

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Question

The network shown in the figure is a part of a complete circuit. If at a certain instant the current i is 5 A and is decreasing at the rate of 103 A / s  then
VA - VB  is

Moderate
Solution

By using Kirchoff’s voltage law
{V_A} - i\;R + E - L\frac{{di}}{{dt}} = {V_B} \Rightarrow {V_B} - {V_A} = 15\;volt.


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