What is the magnitude of the electric field produced by a charge of magnitude 7.50 μCat a distance of (a) 1.00 m and (b) 2.00 m?

Solution 43P

Step 1 of 5</p>

(a)

Here we need to calculate the magnitude of the electric field produced by a charge at a distance .

Given data,

Charge

Distance

Constant,

To find,

Electric field,

Step 2 of 5</p>

Electric field strength is the force exerted by the charge at point per unit charge. That is force per unit charge.

Where E is the electric field strength, F is the force and q is the charge.

The electric field strength at point A due to the test charge q, which is at a distance of r from the point A is given by,

Therefore, the electric force if there is a test charge q at point A,

Force is directly proportional to the product of charges and inversely proportional to the square of distance between them,

Using above equation, the electric field strength becomes,

…………….1

Step 3 of 5</p>

Substituting , and in equation 1,

Therefore, the magnitude of the electric field produced by a charge at a distance is .