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\"\"

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Step 1:

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(a)

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Observe the figure:

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The three point charges are \"\", \"\" and \"\".

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\"\"

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

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The angle of the field at the dot from the bottom charge is \"\".

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The angle of the field at the dot from the top right charge is \"\".

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Electric field due to charged particle is \"\", where

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\"image\" is the permittivity of free space \"image\".

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\"\" is the charge of the electron.

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\"\" is the distance between the two point charges.

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Step 2:

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The distance between the top charge and the dot is \"\".

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For the charged particle along bottom surface is \"\".

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\"\"

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\"\"

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\"\"

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The distance between the bottom charge and the dot is \"\".

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For the charged particle along bottom surface is \"\".

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\"\"

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\"\"

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\"\"

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The distance between the top left charge and the dot is \"\".

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For the charged particle along bottom surface is \"\".

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\"\"

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\"\"

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\"\"

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Step 3:

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Find the net electric field.

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\"\" is sum of horizontal and vertical components.

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Find the sum of horizontal components.

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\"\"

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Find the sum of vertical components.

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\"\"

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Therefore \"\".

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Solution:

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\"\".

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\"\"

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(b)

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From (a): \"\".

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Find the magnitude of electric field strength.

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\"\"

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Strength of the electric field is \"\"

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(c)

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From (a): \"\".

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Find the direction of electric field.

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\"\"

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Direction of electric field is \"\" clockwise.