Math, asked by shubhamkashyap8271, 11 months ago

11th no. Question...........

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Answered by ps1492006
1

Step-by-step explanation:

Electric Field Intensity is zero in a particular region wrt to a source.

To find:

Relationship between Electric Potential V and distance r

Concept:

Electric Field intensity is a vector index representing the strength of the field produced by the source.

Whereas Electric Potential is a scalar index also representing the strength.

Calculation:

\displaystyle{ \int \: dV = \int \: E \: dr}∫dV=∫Edr

Putting the limits :

\displaystyle{ \int_{V1}^{V2} dV = \int_{r1}^{r2} \: E \: dr}∫

V1

V2

dV=∫

r1

r2

Edr

\implies\displaystyle{ \int_{V1}^{V2} dV = \int_{r1}^{r2} \: 0 \times \: dr}⟹∫

V1

V2

dV=∫

r1

r2

0×dr

\implies V2 - V1 = 0⟹V2−V1=0

\implies V2 = V1⟹V2=V1

\implies V = constant⟹V=constant

So Electric Potential becomes constant .

It becomes independent of

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