Question
Download Solution PDFIf the electric field intensity is given by E̅ = (xux + yuy + zuz) V/m, the potential difference between X(2, 0, 0) and Y(1, 2, 3) is
This question was previously asked in
UPSC ESE (Prelims) Electronics and Telecommunication Engineering 19 Feb 2023 Official Paper
Answer (Detailed Solution Below)
Option 3 : +5 V
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Detailed Solution
Download Solution PDFGiven that,
E = xux + yuy + zuz
X(2,0,0) Y(1,2,3)
Vyx = \(-\int^X_YE \cdot dl\)
= \(-\displaystyle\int_{1,2,3}^{2,0,0} xdx + ydy+ zdz\)
= \(-\frac{[x^2]_{1}^2 + [y^2]_2^0 +[z^2]_3^0}{2}\)
= +5V
Here, option 3 is correct.
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