Question

what is the formula of poetntial difference from infinity to a point

Answer 1

Let us consider a charge q1. ... The total electric potential of the charge is defined as the total work done by an external force in bringing the charge from infinity to the given point. We can write it as, -∫ (ra→rb) F.dr = – (Ua – Ub) Here, we see that the point rb is present at infinity and the point ra is r.

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Answer 2

Answer:

Let us consider a charge q1. Let us say, they are placed at a distance ‘r’ from each other. The total electric potential of the charge is defined as the total work done by an external force in bringing the charge from infinity to the given point.

We can write it as, -∫ (ra→rb) F.dr = – (Ua – Ub)

Here, we see that the point rb is present at infinity and the point ra is r.

Substituting the values we can write, -∫ (r →∞) F.dr = – (Ur – U∞)

As we know that Uinfity is equal to zero.

Therefore, -∫ (r →∞) F.dr = -UR

Using Coulomb’s law, between the two charges we can write:

⇒ -∫ (r →∞) [-kqqo]/r2 dr = -UR

Or, -k × qqo × [1/r] = UR

Therefore, UR = -kqqo/r

Explanation:

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