Show that the electric filed at any point is equal to negative potentail gradient at the point?
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Answer:
E=-dV/dx
Explanation:
As we know the relation between Force,charge on the particle and the electric field
F=qE
From this equation,
W/dx=qE (Work/Displacement=qE)
As we know,(W=Charge x Voltage)
q.dV/dx=qE. (On cancelling q)
E=-dV/dx( negative sign is to make the final answer positive)
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