GATE EC 2025 Set 1 — Question 50
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Electromagnetics → Maxwell's Equations → Constitutive Relations
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Question
An electric field of is applied along the length of a copper wire of circular cross-section with diameter . Copper has a conductivity of . The current (in Amperes, rounded off to two decimal places) flowing through the wire is _________.
Correct answer
(A) 0.46
Solution
The current is given by , where is the current density and is the cross-sectional area. From Ohm's law in point form, .Given:
First, calculate :Next, calculate the area :Finally, calculate the current :Rounding to two decimal places, .
First, calculate :Next, calculate the area :Finally, calculate the current :Rounding to two decimal places, .
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