GATE EC 2022 Set 1 — Question 24
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Electromagnetics → Maxwell's Equations → Differential & Integral Forms
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Question
In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is .The displacement current (in Amperes) through the capacitor is _________.
Correct answer
(C) 2sin(t + π/2)
Solution
In a series circuit, the current is the same at all points in the loop. According to Maxwell's equations and the principle of continuity, the conduction current flowing through the resistor and into the capacitor plates must be equal to the displacement current between the capacitor plates. Therefore, .
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