Question

If the following represent Maxwell's field equations

A. \(∇ \times \bar {H}= \frac {\partial \bar{D}}{\partial t} + \bar{J}\)

B. \(∇ \times \bar{E} = \frac {\partial \bar{B}}{\partial t}\)

C. \(\nabla.\bar B = 0\)

D. \(\nabla.\bar D = \rho\)

then, _________

1. A, C and D are correct
2. Only C and D are correct
3. All A, B, C, D are correct
4. Only B is correct

Answer 1

Correct Answer - Option 1 : A, C and D are correct

Maxwell's Equations for time-varying fields is as shown:

S. No.	Differential form	Integral form	Name
1.	\(\nabla \times E = - \frac{{\partial B}}{{\partial t}}\)	\(\mathop \oint \nolimits_L^{} E.dl = - \frac{\partial }{{\partial t}}\mathop \smallint \nolimits_S^{} B.d S\)	Faraday’s law of electromagnetic induction
2.	\(\nabla \times H =J+ \frac{{\partial D}}{{\partial t}}\)	\(\mathop \oint \nolimits_L^{} H.dl = \mathop \smallint \nolimits_S^{} (J+\frac{{\partial D}}{{\partial t}}).dS\)	Ampere’s circuital law
3.	∇ . D = ρv	\(\mathop \oint \nolimits_S^{} D.dS = \mathop \smallint \nolimits_v^{} \rho_v.dV\)	Gauss’ law
4.	∇ . B = 0	\(\mathop \oint \nolimits_S^{} B.dS = 0\)	Gauss’ law of Magnetostatics (non-existence of magnetic monopole)