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the electric feild at r=3i+2j+6k is

E = k^E0 sin( y − vt)

B = i^B0 sin( y − vt)

where E0 and B0 are constant.

electric field vector. Obtain the conditions under which the following time varying

electric and magnetic fields satisfy Maxwell’s equations in vacuum with no source

charges or currents:

sin ( )

ˆ

0 E = k E y − vt

) sin (

ˆ

0 B = i B y − vt

where E0 and B0 are constant.

material having 4 , 9 and 0 ε = ε0 µ = µ0 σ = normal to the surface. If the incident

magnetic field vector is given by

10 cos( ) ˆ tesla 6 B = ωt −βy z

−

r

write the complete expressions for the incident, reflected, and transmitted field

vectors.

(a) the rms current in the circuit,

(b) the rms voltage of each element of the circuit

(c) the phase angle,

(d) the average power dissipated?