Alternating Current

JEE Main level, numerical answer, medium

44 of 190

Question 44 of 190

A part of a complete circuit is shown in the figure. At some instant, the value of current I is 1A1A and it is decreasing at a rate of 102As−1{10}^{2}{As}^{-1}. The value of the potential difference Vp−VQ,{V}_{p}-{V}_{Q}, (in volts) at that instant is-

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Answer: 33

Vp−Ldldt−30+RI=VQ{V}_{p}-L\dfrac{dl}{dt}-30+RI={V}_{Q}
VP−Va=+50×10−3×102+30−1×2{V}_{P}-{V}_{a}=+50\times {10}^{-3}\times {10}^{2}+30-1\times 2
=+5+30–2=33=+5+30–2=33

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