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Find the difference between electric field and electric potential by mathematical using digram and vector law?
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Find the difference between electric field and electric potential by m...
Difference between Electric Field and Electric Potential:
Electric field and electric potential are two important concepts in the field of electromagnetism. While both are related to the presence of electric charges, they have distinct characteristics that set them apart.

Electric Field:
- The electric field is a vector quantity that describes the force experienced by a positive test charge at a given point in space.
- Mathematically, the electric field E at a point is defined as the force per unit positive charge at that point, or E = F/q, where F is the force experienced by the test charge and q is the magnitude of the test charge.
- The direction of the electric field at a point is the direction of the force experienced by a positive test charge placed at that point.
- Electric field lines represent the direction and magnitude of the electric field at different points in space.

Electric Potential:
- Electric potential, also known as voltage, is a scalar quantity that describes the potential energy per unit positive charge at a given point in space.
- Mathematically, the electric potential V at a point is defined as the work done per unit positive charge in bringing a test charge from infinity to that point, or V = W/q, where W is the work done and q is the magnitude of the test charge.
- The electric potential at a point is a measure of the potential energy of a positive test charge placed at that point.
- Electric potential is a scalar quantity and has no direction associated with it.

Difference:
- The key difference between electric field and electric potential lies in their nature: electric field is a vector quantity, while electric potential is a scalar quantity.
- Electric field describes the force experienced by a charge, while electric potential describes the potential energy of a charge.
- Electric field is directly related to force, while electric potential is related to the work done in moving a charge.
- In summary, electric field describes the force acting on a charge, while electric potential describes the energy associated with the charge's position in the field.
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Find the difference between electric field and electric potential by mathematical using digram and vector law?
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