GATE EC 1994 Electromagnetics Solution Q 9

GATE EC 1994 Electromagnetics Solution Q 9

Match List-I with List-II and select the correct answer using the code given below the Lists:

List-IList-II
A.\nabla\times\overrightarrow H=\overrightarrow J 1. Continuity equation
B.\oint\limits_C\overrightarrow E\cdot\overrightarrow{dl}=-\oint\limits_s\frac{\partial B}{\partial t}\cdot\overrightarrow{ds} 2. Faraday’s law
C.\nabla\cdot\overrightarrow J=-\frac{\partial\rho}{\partial t} 3. Ampere’s Law
4. Gauss’s Law
5. Biot-Savart Law

Codes: A B C
(a) 3 2 1

(b) 2 1 3

(c) 4 3 1

(d) 1 2 3

Ans-(a)

Explanation

\nabla\times\overrightarrow H=\overrightarrow J\rightarrow\;Ampere's\;law \oint\limits_c\overrightarrow E\cdot\overrightarrow{dl}=-\oint\limits_s\frac{\partial B}{\partial t}\cdot\overrightarrow{ds}\rightarrow Faraday's\;law \nabla\cdot\overrightarrow J=-\frac{\partial\rho}{\partial t}\rightarrow Continutiy\;equation

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