Electric Potential & Potential Energy: JEE Questions & Solutions

A point charge of 10⁻⁸ C is placed at origin. The work done in moving a point charge 2 μC from point A(4, 4, 2) m to B(2, 2, 1) m is J.…

If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus it can reach is m. (Atomic…

Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both…

Electric field in a region is given by E = A x i + B y j, where A = 10 V/m² and B = 5 V/m². If the electric potential at a point (10, 20)…

Five positive charges each having charge q are placed at the vertices of a regular pentagon as shown in the figure. The electric potential…

Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one…

Two charges 7 μ C and -2 μ C are placed at (-9, 0, 0) cm and (9, 0, 0) cm respectively in an external field E = A/r²r, where A = 9 × 10⁵…

There are three co-centric conducting spherical shells A, B and C of radii a, b and c respectively (c>b>a) and they are charged with…

The electrostatic potential in a charged spherical region of radius r varies as V = ar³ + b, where a and b are constants. The total charge…

Two point charges of 1 nC and 2 nC are placed at two corners of an equilateral triangle of side 3 cm. The work done in bringing a charge of…

Two charges 7 μ C and -4 μ C are placed at (-7 cm, 0, 0) and (7 cm, 0, 0) respectively. Given, ε₀ = 8.85 × 10⁻¹² C² N⁻¹ m⁻², the…

In the first configuration (1) as shown in the figure, four identical charges q₀ are kept at the corners A, B, C and D of square of side…

A particle of mass m and charge q is fastened to one end A of a massless string having equilibrium length l, whose other end is fixed at…

Three infinitely long wires with linear charge density λ are placed along the x-axis, y-axis and z-axis respectively. Which of the…

The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it when fully charged?

Two large plane parallel conducting plates are kept 10 cm apart as shown in the figure. The potential difference between them is V. The…

The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V. The potential at the centre…

Two charges q₁ and q₂ are separated by a distance of 30 cm. A third charge q₃ initially at C as shown in the figure, is moved along the…

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: Work done in moving a…

The electric potential at the surface of an atomic nucleus (Z = 50) of radius 9 × 10⁻¹³ cm is x × 10⁶ V. The value of x is:

The electric potential at the centre of two concentric half rings of radii R₁ and R₂, having the same linear charge density λ is:

A point charge 2 × 10⁻² C is moved from P to S in a uniform electric field of 30 N/C directed along the positive x-axis. If the coordinates…

Which of the following correctly represents the variation of electric potential (V) of a charged spherical conductor of radius (R) with…

Considering a group of positive charges, which of the following statements is correct?

For a uniformly charged thin spherical shell, the electric potential (V) radially away from the center of the shell can be graphically…

Three concentric spherical metallic shells X, Y, and Z of radii a, b, and c respectively (a < b < c) have surface charge densities σ, -σ,…