GATE EC 2014 Set 4 — Question 63
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Electromagnetics → Maxwell's Equations → Differential & Integral Forms
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Question
The electric field (assumed to be one-dimensional) between two points A and B is shown. Let and be the electrostatic potentials at A and B, respectively. The value of in Volts is ________.
Correct answer
-15.1
Solution
The potential difference is related to the electric field by .
From the given figure, the electric field consists of two rectangular regions:
Area 1 = V.
Area 2 = V.
Total Area = V.
Therefore, V.
From the given figure, the electric field consists of two rectangular regions:
1.From to , kV/cm.
2.From to (assuming B is at based on symmetry), kV/cm.
Calculating the area under the curve:Area 1 = V.
Area 2 = V.
Total Area = V.
Therefore, V.
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