Question

In: Physics

A large negative charge −Q is located in the vicinity of points A and B. Suppose a positive charge +q is moved

A large negative charge −Q is located in the vicinity of points A and B. Suppose a positive charge +q is moved at constant speed from A to B by an external agent. Along which of the paths shown in the figure  will the work done by the field be the greatest?

(a) Path 1
(b) Path 2
(c) Path 3
(d) Path 4
(e) Work is the same along all four paths.

Solutions

Expert Solution

Word done is defined as multiplying the force by amount of moment of an object.

The work done by the electric field is,

 

W = qΔV

 

Here, is the charge and ΔV is the potential difference.

 

A large negative charge ‘-Q’ is located in the vicinity of points ‘A’ and ‘B’, suppose a positive charge ‘+q’ is moved a constant speed from ‘A’ to ‘B’ by an external point.

 

There are four paths shown in the given picture

 

But the work done by the field be the same along four paths, since work done by the field is independent of the path followed by the charge.

Hence, the correct option is (e).

Hence, the correct option is (e).

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