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Q.

A charge Q is uniformly distributed only on three fourths portion of a ring of radius R. The electric potential at centre of ring is    

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a

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b

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c

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d

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answer is B.

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Detailed Solution

Electrostatics: Potential at the Center of a Partially Charged Ring

Solution:

  • Potential at the center of a fully charged ring: 
    Vfull ring = (1 / 4πε0) × (Q / R)
  • For charge distributed over only 3/4th of the ring, the potential is proportional to the fraction of the ring:
  • V = (3Q) / (16 π ε0 R)

Final Answer:

The electric potential at the center is:
V = (3Q) / (16πε0R)

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