ElectroMagnetic Theory Concepts & Solved Numericals

1. State Stokes Theorem. Answer: The line integral of a vector around a closed path is equal to the surface integral of the normal component of its curl over any surface bounded by the path ∫ H.dl = ∫ ∫ ( ∆ x H ) ds where, H is the Magnetic field intensity 2. State The Condition For The Vector F To Be Solenoidal. Answer: ∆ . F = 0 where, F = A i + B i + C i 3. State The Condition For The Vector F To Be Irrotational. Answer: ∆ x F = 0 where, F = A i + B i + C i 4. Give The Relationship Between Potential Gradient and Electric Field. Answer:  E = - ∆V where, E represents Electric Field Intensity and V represents Electric Potential 5. What Is The Physical Significance Of div D ? Answer: The divergence of a vector flux density is electric flux per unit volume leaving a small volume. This is equal to the volume charge density. 6. What Are The Sources Of Electric Field & Magnetic Field? Answer: Stationary charges produce electric field that are

The differences between Conduction Current and displacement current are: 1. Conduction current obeys ohm's law as V = (I / R) but displacement current does not obey ohm's law. 2. Conduction current density is represented by  whereas displacement current density is given by 3. Conduction current is the actual current whereas displacement current is the apparent current produced by time varying electric field.