Electricity and Magnetism Answers

find the potential field V=2x. find the gradient of v

Two similar charges of 250 statC are situated on small sphere 15 cm apart. What is the electric field intensity midway between the spheres? What is the potential at this point?

Determine the work done by a force f=xyi+yzj+xzk in taking along a path defined by the equation. r(t)=ti+2t²j+t³k; 0_<t<_1from t=0 to t=2 . Is this force conservative?

An in homogeneous magnetic field B(r,z) is independent of r and the z dependence is given by:

"B(0,z)=B_0\\frac{z}{L}"

where L is constant. A circular loop of wire has a radius a, resistance R,and an axis which coincides with the z axis.

If the loop moves with a constant velocity v in the z direction, what current flows in the coil ?

 The equation for an alternating current is given by i = 77 sin 314t. Find the peak current, 

frequency, time period and instantaneous value of current at t = 2 ms

The law of charge quantization can be written as:

A square loop of side a=10 cm and resistance R=0.1 ohms is placed in a uniform magnetic field B whose magnitude varies with time as shown in figure 8.23

Determine by applying Len’z law the direction of the induced current for 0<t<2s and for t>2 s

A potential difference "V" is applied between the faces of a non-magnetic disc, generating a current "I". The disk has a radius "r" that is much larger than its thickness "d".

(a) Just below the curved surface of the disc, what is the direction of the electric and the magnetic fields?

(b) What is the direction and magnitude of the Poynting vector?  

An external magnetic field changes as a function of time such that: (1) it is momentarily zero at time "t=0" , and (2) it produces an electric field "E=x\\hat{y}-y\\hat{z}" that is constant in time. Determine the magnitude and direction of the magnetic field as a function of time

What is the force between two 1.0 X 10^-5 C charges separated by 2.0 m?