Question

A small object with a charge of q = 13.0 µC travels from the origin to the point (x, y) = (20.0 cm, 50.0 cm) in the presence of a uniform electric field e = 210 V/m. Calculate the electric force acting on the object due to the uniform electric field. Include the formula and explain the direction of the force.

Answer 1

The electric force can be calculated using the formula F = qE, where F is the force, q is the charge, and E is the electric field strength. The force acting on the object is 2.73 × 10^-3 N and its direction depends on the charge.

Step-by-step explanation:

The electric force acting on a small object with a charge of q = 13.0 µC in the presence of a uniform electric field e = 210 V/m can be calculated using the formula F = qE, where F is the force, q is the charge, and E is the electric field strength.

Using the given values, we can calculate the force as follows:

F = (13.0 × 10-6 C)(210 V/m)

F = 2.73 × 10-3 N

The direction of the force depends on the charge of the object. If the charge is positive, the force will be in the direction of the electric field. If the charge is negative, the force will be in the opposite direction of the electric field.