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What is the strength of the electric field at the position indicated by the dot in the figure?

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Let r = 8.0 cm .
  
asked Feb 5, 2016 in PHYSICS by anonymous

1 Answer

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Step 1:

Observe the figure:

The two point charges are positive, hence image

image

The angle of the field at the dot from the top charge is image.

The angle of the field at the dot from the botton charge is image.

Electric field due to charged particle is image, where

image is the permittivity of free space image.

image is the charge of the electron.

image is the distance between the two point charges.

Step 2:

The distance between the top charge and the dot is image.

For the charged particle along top surface is image.

image

image

image

The distance between the bottom charge and the dot is image.

For the charged particle along top surface is image.

image

image

image

Step 3:

Find the net electric field.

image is sum of horizontal and vertical components.

Find the sum of horizontal components.

image

Find the sum of vertical components.

image

Therefore image.

Find the magnitude of electric field strength.

image

Strength of the electric field is image

Find the direction of electric field.

image

image

Direction of electric field is image above the image-axis.

Solution:

Strength of the electric field is image

Direction of electric field is image above the image-axis.

answered Feb 5, 2016 by Lucy Mentor
edited Feb 5, 2016 by Lucy

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