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What is the relationship between the density of the equipotential lines and the strength of the electric field in a given region?

The density of equipotential lines is inversely proportional to the strength of the electric field in a given region. This means that where the equipotential lines are closer together, the electric field is stronger, and where they are farther apart, the electric field is weaker.


Why electric field is zero when electrical potential is constant?

When the electric field is zero, it means there is no change in electrical potential across the field. In other words, the equipotential surfaces are parallel, indicating a constant electrical potential. This relationship arises from the fact that the electric field is the negative gradient of the electrical potential.


What is Equipotential lines in electric field?

Equipotential lines in an electric field are imaginary lines that connect points having the same electric potential. Along these lines, no work is required to move a charge between the points, as the electric potential is the same. Equipotential lines are always perpendicular to electric field lines.


What are equipotential lines?

A uniform electric field exists between parallel plates of equal but opposite charges.


How are equipotentials lines oriented with respect to electric field lines?

Equipotential lines are always perpendicular to electric field lines. This is because equipotential lines represent points in a field with the same electric potential, so moving along an equipotential line does not change potential. Thus, the electric field lines, which point in the direction of the greatest change in potential, intersect equipotential lines at right angles.


If the electric potential is zero, what is the relationship between the electric field and the potential at that point?

If the electric potential is zero, the electric field at that point is perpendicular to the equipotential surface.


Why must electric field line be perpendicular to equipotential surfaces?

If the field lines were not perpendicular to the surface, then they could be decomposed into components perpendicular and parallel to the surface. But if there is an E-field along the surface, the surface is no longer an equipotential.


How do equipotential surfaces in a capacitor contribute to the distribution of electric potential within the capacitor?

Equipotential surfaces in a capacitor help distribute the electric potential evenly within the capacitor. This means that the electric potential is the same at all points on a particular equipotential surface. This distribution of electric potential helps maintain a stable and uniform electric field within the capacitor, allowing for efficient storage and transfer of electrical energy.


Why is it important for an electromagnet field to flip halfway through the turn of the motor axle?

The angle when the field changes is determined by the angle between coils. For any electrical motor to continue to rotate the field has to move, otherwise the rotor North would reach the stator South and stop.


What is the relations between electrical field and electrical potential?

The electrical field is the force per unit charge experienced by a charged particle in an electric field. The electrical potential, or voltage, is the energy per unit charge required to move a charged particle between two points in an electric field. The relationship between them is that the electric field is the negative gradient of the electrical potential.


Why are equipotential lines perpendicular to the insulator mapped?

Equipotential lines are perpendicular to the insulator surface because the electric field lines are always perpendicular to the equipotential lines in electrostatic equilibrium. This relationship ensures that there is no component of the electric field tangent to the insulator surface, which would cause the charges to move. As a result, the charges remain at rest on the surface of the insulator.


How are gravitational field and an electrical field similar?

The electrical field force acts between two charges, in the same way that the gravitational field force acts between two masses.