A) 21 kV
B) -21 kV
C) 39 kV
D) -39 kV
Correct Answer: B
Solution :
Here, \[\vec{E} = 5\hat{i}\,- 3\hat{j}\,k\,V / m\] \[{{\operatorname{V}}_{B}}-{{V}_{A}}=-\int\limits_{{{r}_{A}}}^{{{r}_{B}}}{\,\vec{E}\,.\,\partial r}\] \[=\,\,-\int\limits_{(4,\,\,0,\,\,3)}^{(10,\,\,3,\,\,0)}{(5\hat{i}-3\hat{j})\cdot (\partial x\hat{i}+\partial y\hat{j}+\partial z\hat{k})}\] \[=\,\,\,-\int\limits_{4}^{10}{5\partial x-\int\limits_{0}^{3}{(-3)\partial y+0=-\,5[x]_{4}^{10}+3[y]_{0}^{3}}}\] \[=\,\,-5~(10-4)+3(3-0)=-30+9=-21kV\]You need to login to perform this action.
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