1. Five point charges are enclosed in a cylindrical surface S. If the values of

Question

1. Five point charges are enclosed in a cylindrical surface S. If the values of charges are q1=6nC, q2=-4nC, q3=4nC, q4=2nC, and q5=-2nC, find the total flux through S. (n=nano)

2. Find the electric flux through a quarter cylinder of height h due to an infinitely long line charge with charge density ? running along the axis of the cylinder.

3. A proton rests at the center of the rim of a hemispherical bowl of radius R. What is the electric flux through the surface of the bowl?

4. Find the divergence of the field given by = (1/r) in spherical coordinates.

5. Find the divergence of the field given by = r in spherical coordinates.

Explanation / Answer

Total flux through the cylinder will be zero. As flux is equal to qi/0.

Here qi will sums upto 0. Hence total flux is zero.

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