potential energy and electric potential questions with solutions

Showing 1–10 of 21 questions

• MCQeasyElectrostaticspotential energy and electric potential

  Assertion (A): Work done in moving a test charge between two points inside a uniformly charged spherical shell is zero, irrespective of the path. Reason (R): Electrostatic potential everywhere inside a uniformly charged spherical shell is constant and equal to its surface potential. Choose the correct answer.

  Options

  • Option A

    A is true but R is false

  • Option B

    Both A and R are true and R is the correct explanation of A

  • Option C

    A is false but R is true

  • Option D

    Both A and R are true but R is NOT the correct explanation of A

  Check answerShow answer

  JEE Mains 2025 8 April Evening Shift (Shift 2)

  Open question & full solution →
• MCQeasyElectrostaticspotential energy and electric potential

  A conducting sphere of radius R carries charge Q. It is surrounded concentrically by an initially neutral conducting spherical shell with inner radius 2R and outer radius 3R. The potential of the inner sphere relative to infinity is:

  Options

  • Option A

    Q/(4πε₀R)

  • Option B

    Q/(4πε₀)(1/R-1/(2R)+1/(3R))

  • Option C

    Q/(4πε₀)(1/R+1/(2R)-1/(3R))

  • Option D

    Q/(12πε₀R)

  Check answerShow answer
  Open question & full solution →
• MCQmediumElectrostaticspotential energy and electric potential

  Charges q₁ and q₂ are separated by 30 cm. A third charge q₃ is moved from C to D along the circular arc of radius 40 cm shown in the original figure. If the change in potential energy is ΔU = q₃K/(4πε₀), then K is:

  

  Options

  • Option A

    8q₂

  • Option B

    6q₂

  • Option C

    8q₁

  • Option D

    6q₁

  Check answerShow answer

  JEE Mains 2025 7 April Morning Shift

  Open question & full solution →
• MCQeasyElectrostaticspotential energy and electric potential

  Two charges +7 C and -4 C are located at (-7,0,0) and (7,0,0). Taking k=9×10⁹ SI units, the electrostatic potential energy of the system is:

  Options

  • Option A

    -6×10⁹ J

  • Option B

    -18×10⁹ J

  • Option C

    18×10⁹ J

  • Option D

    6×10⁹ J

  Check answerShow answer

  JEE Mains 2025 23 Jan Evening Shift

  Open question & full solution →
• MCQmediumElectrostaticspotential energy and electric potential

  An electric charge 10⁻⁶ μC is placed at origin (0, 0) m of X–Y co-ordinate system. Two points P and Q are situated at (3√3, 3) m and (√36, 0) m respectively. The potential difference between the points P and Q will be :

  Options

  • Option A

    √3 V

  • Option B

    √6 V

  • Option C

    0 V

  • Option D

    3 V

  Check answerShow answer

  JEE Mains 2024

  Open question & full solution →
• Multi-correctmediumElectrostaticspotential energy and electric potential

  Two charges Q₁ = q and Q₂ = mq are placed at the points P₁(a,b) and P₂(ma,mb), respectively, in the XY plane, where a,b ≠ 0 and m ≠ 0,1. If V₁ is the potential at a point in the XY plane due to charge Q₁ and V₂ is the potential at that point due to charge Q₂. Correct statement(s) for the points at which |V₁| = |V₂| is/are:

  Select all that apply

  • Option A

    For m = -1, locus of these points is ax + by = 0.

  • Option B

    For m = 2, the locus of these points is a circle of radius (2/3)√(a²+b²) centered at ((2/3)a,(2/3)b).

  • Option C

    For m = -2, the locus of these points is a circle of radius 2√(a²+b²) centered at (2a,2b).

  • Option D

    For m = -3, locus of these points is 3bx + 3ay = 0.

  Check answerShow answer

  JEE Advanced2026Paper 2

  Open question & full solution →
• MCQeasyElectrostaticspotential energy and electric potential

  The electric potential in a region is given by V(x,y) = 5(x²-y²) volts. What is the electric-field vector at the point (2 m, 3 m)?

  Options

  • Option A

    -20î+30ĵ V·m⁻¹

  • Option B

    20î-30ĵ V·m⁻¹

  • Option C

    20î+45ĵ V·m⁻¹

  • Option D

    -4î+6ĵ V·m⁻¹

  Check answerShow answer

  JEE Mains 2026 6 April Evening Shift

  Open question & full solution →
• NumericeasyElectrostaticspotential energy and electric potential

  At the centre of a half ring of radius R = 10 cm and linear charge density 4 nC m⁻¹, the potential is xπ V. The value of x is ________.

  Your answer

  Check answerShow answer

  JEE Mains 2024 09 Apr Morning Shift

  Open question & full solution →
• MCQmediumElectrostaticspotential energy and electric potential

  Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each other. The minimum value of u, so that they can just touch each other is :

  (Take k = 1/(4πε₀) and assume kQ² > Gm² where G is the Gravitational constant)

  Options

  • Option A

    √[(kQ²/(4mR))(1 - Gm²/(kQ²))]

  • Option B

    √[(kQ²/(4mR))(1 + Gm²/(kQ²))]

  • Option C

    √[(kQ²/(2mR))(1 - Gm²/(kQ²))]

  • Option D

    √[(kQ²/(2mR))(1 - Gm²/(2kQ²))]

  Check answerShow answer

  JEE Mains 202621 January Evening Shift

  Open question & full solution →
• MCQeasyElectrostaticspotential energy and electric potential

  A uniformly charged spherical shell of radius 10 cm has electrostatic potential 120 V at its surface. The potentials at the centre, at r = 5 cm, and at r = 15 cm respectively are:

  Options

  • Option A

    0 V, 0 V, 80 V

  • Option B

    120 V, 120 V, 80 V

  • Option C

    0 V, 120 V, 40 V

  • Option D

    40 V, 40 V, 80 V

  Check answerShow answer

  JEE Mains 2025 3 April Morning Shift

  Open question & full solution →