1.

The network shown in figure is a part of the circuit. (The battery has negligible resistance) At a certain instant the current I = 5A and is decreasing at a rate of 10^3 As^(-1). What is the potential difference between point B and A ?

Answer»

5V
10V
15V
0V

Solution :
Taking direction from A to B , the kirchoff.s LAW ,
`V_A-IR+EPSILON-(-L(DI)/(dt))=V_B`
`therefore -IR+epsilon+(LdI)/(dt)=V_B-V_A`
Here `R=1 OMEGA , I=5A , (dI)/(dt) =10^3` A/s , L=5 mH, `epsilon`=15 V
`therefore -5xx1+15+5xx10^(-3)xx10^3=V_B-V_A`
`therefore -5+15+5=V_B-V_A`
`therefore V_B-V_A` =15 V


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