Question

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Derive the Relationship between Electric field and Potential difference !​

Answer 1

Answer:

ANSWER

Consider two points A and B separated by a small distance dx in an electric field.

Since dx is small, the electric field E is assumed to be uniform along AB. The force acting on a unit positive charge at A is equal to E.

Now, the work done in moving a unit positive charge from A to B against the electric field is dW=−E×dx.

The negative sign shows that the work is done against the direction of the field. Since the work done is equal to potential difference dV between A and B then dV =−E×dx or E = −dx dV

dV =−E×dx or E = −dx dV

Thus, the electric field at a point is the negative of the potential gradient at that point.

Answer 2

Answer:

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