Continuous Distribution of Charges

An infinite line charge produces a field of 9 × 10⁴ N/C at a distance of 2 cm. Calculate the linear charge density.

In a region where intensity of electric field is 5 NC^-1, 40 lines of electric force are crossing per square metre. The number of lines crossing per square metre where intensity of electric field is 10 NC^-1 will be ______

A hollow charged conductor has a tiny hole cut into its surface. Show that the electric field in the hole is `(sigma/(2in_0)) hat"n"`. where `hat"n"` is the unit vector in the outward normal direction, and `sigma` is the surface charge density near the hole.

Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.7 × 10^–22 C/m². What is electric field intensity E:

1. in the outer region of the first plate, and
2. between the plates?

There is a uniform spherically symmetric surface charge density at a distance R_o from the origin. The charge distribution is initially at rest and starts expanding because of mutual repulsion. The figure that represents best the speed V (R(t)) of the distribution as a function of its instantaneous radius R(t) is:

Answer the following question.

State the units of linear charge density.

Infinite charges of magnitude q each are lying at x = 1, 2, 4, 8 ... metre on X-axis. The value of the intensity of the electric field at point x = 0 due to these charges will be ______