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⚛️ Physics  ·  Electric Charges and Fields  ·  NEET & JEE

A dipole of moment 3 × 10-8 C m is rotated in a uniform electric field of 2 × 105 N/C from 60° to 120°. The increase in its potential energy is:

Answer: 6 × 10-3 J.

  • A 3 × 10-3 J
  • B 6 × 10-3 J
  • C 9 × 10-3 J
  • D 1.2 × 10-2 J

Correct answer: B. 6 × 10-3 J

Explanation: U = -pE cosθ, so ΔU = -pE(cos120° - cos60°) = -pE(-0.5 - 0.5) = pE = 3 × 10-8 × 2 × 105 = 6 × 10-3 J.

Field Lines: Single Charge vs Electric Dipole+isolated +charge: lines radiate outward, all directions+−dipole: lines curve from + to − (denser between them)

Field lines always point from positive to negative charge, are denser where the field is stronger, and never cross; an isolated positive charge has lines radiating symmetrically outward, while a dipole's lines curve from the positive to the negative charge.

Concept context

Coulomb's law, electric field, potential, capacitors, Gauss's law.

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