The network shown in figure is part of a complete circuit. If a certain instant, the current i is 5 A, and is decreasing at a rate of  103  As−1   , then  (VB−VA)   is (in volt)

# The network shown in figure is part of a complete circuit. If a certain instant, the current i is 5 A, and is decreasing at a rate of  ${10}^{3}\text{\hspace{0.17em}\hspace{0.17em}}A{s}^{-1}$   , then  $\left({V}_{B}-{V}_{A}\right)$   is (in volt)

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### Solution:

Moving from A to B
$\begin{array}{l}{\mathrm{V}}_{\mathrm{B}}-{\mathrm{V}}_{\mathrm{A}}=\left[5×{10}^{-3}\left(-{10}^{3}\right)+15+1×5\right]\\ =15\text{\hspace{0.17em}}\mathrm{volt}\end{array}$

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