GATE EC 2019 Set 1 — Question 22
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Electromagnetics → Maxwell's Equations → Differential & Integral Forms
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Question
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 I | List II | ||
|---|---|---|---|
| 1 | P | 0 | |
| 2 | Q | ||
| 3 | R | ||
| 4 | S |
Correct answer
(B) 1 - Q, 2 - R, 3 - P, 4 - S
Solution
This question requires matching the terms from the differential form of Maxwell's equations.
1.Gauss's Law for Electric Fields: This law relates the divergence of the electric displacement field to the free electric charge density . The equation is . So, 1 matches Q.
2.Faraday's Law of Induction: This law describes how a time-varying magnetic field creates a circulating (curl) electric field . The equation is . So, 2 matches R.
3.Gauss's Law for Magnetic Fields: This law states that there are no magnetic monopoles, which means the divergence of the magnetic field is always zero. The equation is . So, 3 matches P.
4.Ampere-Maxwell's Law: This law relates the curl of the magnetic field intensity to the free current density and the rate of change of the electric displacement field (displacement current). The equation is . So, 4 matches S.
Summarizing the matches:- 1 Q
- 2 R
- 3 P
- 4 S
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