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Write the electric field at point P in component form.

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Write the electric field at point P in component form. Assume that xx-axis is horizontal and points to the right, and yy-axis points upward.  E=

asked Feb 6, 2016 in PHYSICS by anonymous

1 Answer

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Step 1:

Draw the related diagram:

The angle of the field at the dot from the upper left charge is .

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

The angle of the field at the dot from the lower right charge is .

Electric field due to charged particle is image, where image.

image is the permittivity of free space image.

is the charge of the electron.

is the distance between the two point charges.

Step 2:

The distance between the upper left charge and the point is .

For the charged particle along upper left surface : .

The distance between the lower left charge and the point is .

For the charged particle along lower left surface : .

The distance between the lower right charge and the point is .

For the charged particle along lower right surface : .

Step 3:

Find the net electric field.

is sum of horizontal and vertical components.

Find the sum of horizontal components.

image

image.

Substitute and image.

image

image

image.

The horizontal component is image.

Find the sum of vertical components.

image

image.

Substitute image and .

image

image

image.

The vertical component is image.

.

image.

The electric field at point in component form is image.

Solution:

The electric field at point in component form is image.

answered Feb 6, 2016 by Sammi Mentor

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