What is the electric field strength at the midpoint between the two spheres?

Question

Two 2.0-cm-diameter insulating spheres have a 5.90 cm

cm

 space between them. One sphere is charged to + 55.0 nC

nC

 , the other to - 52.0nC. 

nC

 .

Answer 1

Step 1:

Diameter of the two spheres is .

Charge on first sphere is .

Charge on second sphere is .

Distance between the two spheres is .

Radius of the sphere is .

Electric field strength due to the charged particle is .

Find the field strength of the first sphere .

Total distance from center of the sphere to the mid point is .

.

Substitute corresponding values in the formula.

.

Step 2:

Find the field strength of the second sphere .

Total distance from center of the sphere to the mid point is .

.

Substitute corresponding values in the formula.

.

Since mid point is considered , the magnitude of the right sphere contribution is also same as the left sphere and is in opposite direction.

.

Solution :

Electric field strength at the midpoint between the two spheres is .