Question

A uniform electric field of magnitude 380 n/c pointing in the positive x-direction acts on an electron, which is initially at rest. The electron has moved 3.50 cm. What is the work done by the electric field on the electron?

Answer 1

The work done by the electric field on the electron is 3.36 × 10⁻¹⁵ J.

Step-by-step explanation:

The work done by an electric field on an electron can be calculated using the equation:

Work = Force * Distance

First, we need to find the force acting on the electron. The force experienced by a charge in an electric field can be calculated using the formula:

Force = Charge * Electric Field

Plugging in the given values:

Force = (3.20 × 10-19 C) * (3.00 × 105 N/C) = 9.60 × 10-14 N

Next, we can calculate the work done using the formula:

Work = (9.60 × 10-14 N) * (3.50 cm)

Converting the distance to meters:

Work = (9.60 × 10-14 N) * (3.50 × 10-2 m)

Work = 3.36 × 10-15 J

Therefore, the work done by the electric field on the electron is 3.36 × 10-15 J.