NEET Physics Electrostatic Potential And Capacitance Relation Between E and V MCQs

A non-uniform electric field is given by $\vec{E} = (3x^2 \hat{i} + 4y \hat{j})$ N/C. If the electric potential at the origin is zero, what is the potential at point (2, 1) m?

In a region of space, the electric potential is given by $V(x,y,z) = 2x^2 - y^2 + z^2$. What is the magnitude of the electric field at point (1,1,1)?

The electric potential in a region is $V = 5x - 3x^2y + 2yz^2$. What is the expression for the y-component of the electric field?

If the electric potential at a point (x, y, z) is given by $V = x^2y - xz^3 + 4$, what is the electric field at the point (1, 0, -1)?

Two concentric conducting spherical shells of radii $a$ and $b$ ($b > a$) carry charges $Q$ and $-Q$ respectively. The potential difference between the shells is:

A uniformly charged non-conducting sphere of radius $R$ and charge $Q$ has electric potential $V_0$ at its center. If a spherical cavity of radius $R/2$ is carved out symmetrically, such that the center of the cavity is at a distance $R/2$ from the center of the sphere, what is the electric potential at the center of the cavity?

The electric potential at a point in an electric field is $20\ V$. What is the work done in bringing a charge of $0.02\ C$ from infinity to that point?

If the electric field intensity is zero at a point, the electric potential at that point must be:

The electric potential $V$ in a region of space is given by $V = 5x + 2$. What is the electric field in this region?

In a uniform electric field, equipotential surfaces are: