Electricity and Magnetism Answers

What rate of change of current in a solenoid having self-inductance 19.4 mH

produces a self-induced emf of 100 mV in it?

Using Maxwell’s equations in vacuum, derive the wave equation for the z-component of the electric field vector associated with an electromagnetic wave.

What rate of change of current in a solenoid having self-inductance 19.4 mH produces a self-induced emf of 100 mV in it?

A wire loop of resistance 10Ω and radius 10cm is kept in the plane of this paper in a uniform magnetic field B. The direction of B is perpendicular to the plane of the page and points out of it and its magnitude is increasing at the rate of 0.50T/s. Determine the magnitude and direction of the induced current in the loop.

Calculate the magnitudes of magnetic intensity H and the magnetic field

B at the centre of a 1500-turn solenoid which is 0.22 m long and carries a current of 1.5 A.

(µ0 =4π×10^-7H/m)

Obtain the directional derivative for a scalar field Φ(X,y,z) =3x²y-y³z² at the point (1,-2,-1) in the direction i+j+k

Determine whether the following force field

Fis conservative:

F=xi-yj+zk

Charges q1, q2 and q3 are placed at A, C and P, are isosceles triangle vertices and B is the middle point of A and C , and q1 =q2=-q3=2μC. determine the magnitude and the direction of the election field at point P. (P is the top vertices)

Figure 3.6 shows a copper conductor of resistivity ρ = 1.72 x 10 -8 Ωm having a current density J = 2.54 x 106 Am-2. Calculate the electric field in the copper.

What is the potential difference between the two points a and b, 100m apart?

The expression of the magnetic field associated with an electromagnetic wave in

vacuum is given by

B = (100T) y sin ( 2π × 10^8t + kz)

Determine the wave number, frequency and the direction of propagation of the wave,

and the magnitude and direction of the electric field associated with it.