9.3 Electric Field And Potential

Equipotential lines and lines of force are perpendicular to each other. This means that at any point on an equipotential line, the electric potential is the same. On the other hand, lines of force represent the direction of the electric field, which is always perpendicular to the equipotential lines. This relationship is important in understanding the behavior of electric fields and the distribution of charges in a system.

The lines of equipotential near a charged sphere are concentric, meaning they form circles around the sphere. These lines are spaced further apart from each other as they move away from the center of the sphere. This indicates that the electric potential decreases as the distance from the sphere increases. The spacing between the lines represents the strength of the electric field, with larger spacing indicating weaker electric field strength.

The electric field strength is related to the electric potential gradient. The electric field strength represents the force experienced by a charged particle in an electric field, while the electric potential gradient represents the change in electric potential per unit distance. Therefore, the electric field strength is directly proportional to the electric potential gradient, as a larger change in electric potential over a given distance will result in a stronger electric field.

The correct answer is electric Potential = (electric field strength) x (radius of sphere). The electric potential at the surface of a charged sphere can be calculated by multiplying the electric field strength by the radius of the sphere. This relationship holds true because the electric potential is directly proportional to the electric field strength and the distance from the center of the sphere, which is represented by the radius. Therefore, the electric potential at the surface of the sphere is determined by the product of these two factors.

The strength of the electric field between the plates can be calculated using the formula E = V/d, where E is the electric field strength, V is the potential difference, and d is the distance between the plates. In this case, the potential difference is given as 100V and the distance between the plates is 20cm (or 0.2m). Plugging these values into the formula, we get E = 100V / 0.2m = 500 N/C. Therefore, the strength of the electric field between the plates is 500 N/C.

The electric field strength is defined as the force acting per unit charge on a point charge. This means that it measures the force experienced by a point charge divided by the amount of charge it possesses. It is a measure of the intensity of the electric field at a specific point in space.

The correct answer is "work done per unit charge in moving small test charge from infinity to a point P." This is because the electric potential at a point is defined as the work done per unit charge in bringing a small test charge from infinity to that point. It represents the amount of electric potential energy per unit charge at that point.

The correct answer is "work done in moving a small test charge from infinity to a point P". This is because electric potential energy at a point is defined as the work done in moving a small test charge from infinity to that point. Moving a small test charge from infinity to a point P requires work to be done against the electric field, and this work done is equal to the electric potential energy at that point.