# A charge of #2 C# is at the origin. How much energy would be applied to or released from a # -3 C# charge if it is moved from # (3 ,7) # to #(8,2 ) #?

##### 1 Answer

#### Answer:

The energy required to move the

#### Explanation:

The **electric potential** of a point charge '

When a test charge

Given:

Since the Electric Field is a conservative force field, the change in potential energy as you go from one point to another depends only on the end points and is independent of the path you choose to go.

So calculate the potential energies at the end points and find the difference.

When you take the point charge (

Change in electric potential energy is:

**Distance to Start & End points** : The starting point coordinates and the end point coordinates of the test charge are

Substituting the values of

So the potential energy increase by