Electricity and Magnetism Answers

a.   Calculate the magnetic induction that exists in air at a distance of 20 mm from a long wire that conducts a current of 6.5A.

b.   Find the magnetic induction B that exists in air at a point located at 15 cm from a long wire that conducts a current of 2A.

What is the current in a wire loop of resistance 16 Ω through which the magnetic flux changes from zero to 84 Wb in 3 s?

The electric field and the magnetic field in free space are given by

E=\frac{50}{\rho}\cos(10^{6}t+\beta z)a_{\phi} V/mE=

ρ

50

​

cos(10

6

t+βz)a

ϕ

​

V/m

H=\frac{H_{o}}{\rho}\cos(10^{6}t+\beta z)a_{\rho} A/mH=

ρ

H

o

​

​

cos(10

6

t+βz)a

ρ

​

A/m

Express these in phasor form and determine the constants H_{o}H

o

​

and \betaβ such that the fields satisfy Maxwell’s equations.

For a transmission line the per unit length parameters are 0.1 Ohm/m, 0.2 uH/m, 10pF/m, and 0.02 Mho/m find the complex propagation constant at a frequency 1MHz

For a transmission line the per unit 1 point length parameters are 0.1 Ohm/m, 0.2 uH/m, 10pF/m, and 0.02 Mho/m find the complex propagation constant at a frequency 1MHz

a uniform plane wave with 25V/m electric field is normally incident on an infinitely thick slab of a material of dielectric constant 5 find the electric field just inside the slab surface

In the three dimensional space, divided into region 1 (x<0), and region 2 (x>0) σ1=σ2=0, εr1=1, εr2=2, and E=1ax + 2ay +3az. Determine E2

a dielectric material has relative permittivity 18 and loss tangent 10^-3 at 100 MHz find the conductivity of the medium

Illustrate on the equations of gravitational potential energy and elastic potential energy as the quantities vary, for instance double or triple the value of quantities.

Some of the electrons which are emitted at low velocities from a hot wire (cathode) go through a small hole in a plate that is at a potential of 1000volts with respect to the cathode. What is the velocity of the electrons when they are passing through the hole? A second plate is parallel to the first and 20cm beyond it and is at a potential of -2000volts with respect to the cathode. Describe the motion of electrons in the region between the two plates.