The GATE Grind

GATE 2019 EC – Question 22

Electromagnetics · Maxwell's Equations · 1 mark · Multiple choice

In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell's equations (in their standard form). Match the left-hand side with the corresponding right-hand side.

List IList II
1$\nabla\cdot\vec D$P$0$
2$\nabla\times\vec E$Q$\rho$
3$\nabla\cdot\vec B$R$-\frac{\partial\vec B}{\partial t}$
4$\nabla\times\vec H$S$\vec J+\frac{\partial\vec D}{\partial t}$
Diagram for GATE 2019 EC question 22
  1. 1-P, 2-R, 3-Q, 4-S
  2. 1-Q, 2-R, 3-P, 4-S
  3. 1-Q, 2-S, 3-P, 4-R
  4. 1-R, 2-Q, 3-S, 4-P

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) 1-Q, 2-R, 3-P, 4-S

Explanation

Gauss's law gives $\nabla\cdot\vec D=\rho$ (1-Q), Faraday's law gives $\nabla\times\vec E=-\frac{\partial\vec B}{\partial t}$ (2-R), there are no magnetic monopoles so $\nabla\cdot\vec B=0$ (3-P), and Ampere's law gives $\nabla\times\vec H=\vec J+\frac{\partial\vec D}{\partial t}$ (4-S).