Electricity and Magnetism Answers

A charge of -1.0 nC is located on the y-axis 1.0 m from the origin at the coordinates (0,1) while a second charge of +1.0 nC is located on the x-axis 1.0 m from the origin at the coordinates (1,0). Determine the value of the following quantities at the origin…a. the magnitude of the electric field b. the direction of the electric field c. the electric potential (assuming the potential is zero at infinite distance) d. the energy needed to bring a +1.0 nC charge to this position from infinitely far away 

How much work is done to transfer 0.30 C of charge through a potential difference of 9 Volts? (Show your solution)

What is the magnitude of the intensity at a point which is 0.3 m from a 10 µC charge? (Show your solution)

A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal xy-plane is located in a region of a uniform magnetic field. A field of 1.5 T is directed along the positive z-direction, which is upward.

1. If the loop is removed from the field region in a time interval of 2.0ms, find the average emf that will be induced in the wire loop during the extraction process.
2. If the coil is viewed looking down on it from above, is the induced current in the loop clockwise or counterclockwise?
3. What happens to the average induced emf when the removal time is shorter?

Shown in the figure, in cross-section, are several conductors that carry currents through the plane of the figure. The currents have the magnitudes I₁ = 4.0A, I₂ = 6.0A and I₃ = 2.0A and the directions shown. Four paths, labeled a through d, are shown.

1. What is the line integral for each path (a, b, c, d)? Each integral involves going around the path in the counterclockwise direction.
2. What will happen to the line integrals if we go around the path in the clockwise direction?

A coil with a self-inductance of 6.50 H carries a current that is changing at a rate of 50.0 A/s.

What is the induced emf in the coil?

Two coils are wound around the same cylindrical form. When the current in the first coil is

decreasing at a rate of -0.242 A/s, the induced emf in the second coil has a magnitude of 1.65 x

10^-3 V and the mutual inductance of the two coils is 6.82 mH. If the current in the first coil

becomes constant, what happens to the mutual inductance?

What is electric dipole moment

An alternating pd 220V amplitude and frequency 50Hz is applied to a series circuit containing R=400 ohms, L=0.35H and C= 18 micro farad (a) what is Z? (b) what is the current amplitude ,is it lagging the supply pd (c) what is the power factor?