Thin Ring Electric Field using Electric Potential

How are electric potential and electric field classified in terms of their physical nature?

• Electric potential is a vector quantity, while electric field is a scalar quantity.

• Both electric potential and electric field are scalar quantities.

• Electric potential is a scalar quantity, while electric field is a vector quantity.

• Both electric potential and electric field are vector quantities.

What is the electric potential at point P caused by a uniformly charged thin ring of charge +Q and radius 'a', located at a distance 'x' from the center of the ring along its axis?

• kQ / (a^2 + x^2)

• kQ / sqrt(a^2 + x^2)

• kQx / (a^2 + x^2)^(3/2)

• kQx / sqrt(a^2 + x^2)

What is the mathematical relationship between the electric field component in a given direction (E_r) and the electric potential (V) with respect to that direction (r)?

• E_r = dV/dr

• E_r = -dV/dr

• E_r = V * r

• E_r = V / r

What is the electric field at point P caused by a uniformly charged thin ring of charge +Q and radius 'a', located at a distance 'x' from the center of the ring along its axis?

• kQ / sqrt(a^2 + x^2)

• kQx / (a^2 + x^2)^(3/2)

• kQ / (a^2 + x^2)^(3/2)

• kQx / (a^2 + x^2)