The concept required to solve this problem is electric force when a charge moves, and the work done by the electric force.
Initially, calculate the force due to an electric charge by using force formula Later, using the magnitude of the force obtained, calculate the work done due to that force in different displacements by using work done formula.
Force acting on electric charge is product of charge and electric field.
The expression for the electric force is as follows:
Here, q is the charge and E is the electric field.
Work done is the product of force and displacement.
The expression for the work done is as follows:
Thus,
Here, d is the distance covered and is the angle between the force and the displacement vector.
(a)
Substitute for q and for F in the equation .
Now, substitute for F, for , and 0.45 m for d in the equation
.
(b)
Substitute for F, for , and 0.67 m for d in the equation
.
(c)
Substitute for F, for , and 2.6 m for d in the equation
.
Ans: Part a
The work done by the electric force when the charge moves 0.00 J.
Part bThe work done by the electric force when the charge moves is .
Part cThe work done by the electric force when the charge moves is .
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