DAY 7 – DAW February

Displacement current and Maxwell’s equations; Wave equations in vacuum,


Q 1. For the electric field given by E=EoeiωtE= E_oe^{i\omega t}, show that the conduction current is in phase with the electric field, while the displacement currents lead the electric field by π/2\pi/2 radians. Also, show that the displacement current in a good conductor is negligible compared tp the conduction current at any frequency lower than the optical frequencies (f<1015Hz)(f<10^{15}Hz). [10 marks]

Q 2. Write Maxwell’s equations in free space in both differential and integral forms. Obtain wave equations and show that electromagnetic waves can travel in free space with the speed of light. [10 marks]

Video Solution at 11 pm