The net electric field at the mid-point of the two charges is .
Further Explanation:
Given:
The magnitude of the charge is .
The magnitude of the charge is .
The co-ordinates of the location of charge are .
The co-ordinates of the location of charge are .
Concept:
The electric field due to a positive charge will be in the direction away from it and due to the negative charge, the electric field points in the direction away from the charge. Therefore, the net electric field due to both charges will be in same direction.
Write the expression for the electric field due to a charge.
…… (1)
Here, is the electric field, is the magnitude of charge and is the distance of the point from the charge.
The distance between the two charges is as shown in the figure. Therefore, the distance of the mid-point from the charges is .
The electric field due to charge is:
The electric field due to charge is:
The net electric field at the mid-point of the two charges is.
…… (2)
Substitute the value of and in above equation.
Thus, the net electric field at the mid-point of the two charges is .
Learn More:
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Answer Details:
Grade:College
Chapter:Electrostatics
Subject:Physics
Keywords:Two charges, electric field, point charges, magnitude of field, , coordinates of location, mid-point of two charges.