Question

relation between electric field and potential and significance of negative sign

Answer 1

Answer:

The relation between electric field and potential is given by, E = -dV/dx while the significance of the negative sign is that it represents the electric gradient, as well as the electric field, in the direction of decreasing potential.

Explanation:

• If and only if there is an electric potential difference, the electric field will be present.
• No matter how high the electric potential is, if the charge is uniform throughout, an electric field won't exist.
• According to the definition of the link between electric field and electric potential, "Electric field is the negative space derivative of electric potential."
• The mathematical formula for the relationship between electric field and electric potential is- E = - dV/dx where E is the electric field, V is the electric potential and dx is the path length.
• The significance of the negative sign is that it represents the electric gradient, as well as the electric field, in the direction of decreasing potential.

Thus, The relation between electric field and potential is given by, E = -dV/dx while the significance of the negative sign is that it represents the electric gradient, as well as the electric field, in the direction of decreasing potential.

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