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

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Two 2.0-cm-diameter insulating spheres have a 5.90 cmcm space between them. One sphere is charged to + 55.0 nCnC , the other to - 52.0 nCnC .

asked Feb 5, 2016 in PHYSICS by anonymous

1 Answer

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Step 1:

Diameter of the two spheres is image.

Radius of the sphere is image.

Charge on first sphere is .

Charge on second sphere is .

Distance between the two spheres is .

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

image.

Electric field due to charged particle is image, where

image is the permittivity of free space image.

is the charge of the electron.

is the distance between the two point charges.

Find the electric field strength of the first sphere.

Substitute , image and image.

image

image.

The electric field strength of the first sphere is image.

Step 2:

Find the electric field strength of the second sphere.

Substitute , image and image.

image

image.

The electric field strength of the second sphere is image.

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

image

image.

Solution :

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

answered Feb 5, 2016 by Sammi Mentor

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