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Match each system in Column-I with the physical quantity it produces in Column-II. Column-I: (A) A uniformly charged stationary dielectric ring (B) A uniformly charged dielectric ring rotating at constant angular velocity (C) A ring carrying a constant current i0 (D) A ring carrying current i = i0*cos(omega*t) Column-II: (P) Time-independent electrostatic field outside the system (Q) Magnetic field (R) Induced (time-varying) electric field (S) Magnetic moment

1. (A)-(P), (B)-(S), (C)-(Q), (D)-(R)
2. (A)-(Q), (B)-(S), (C)-(R), (D)-(P)
3. (A)-(P), (B)-(Q), (C)-(S), (D)-(R)
4. (A)-(R), (B)-(Q), (C)-(P), (D)-(S)

Correct answer: (A)-(P), (B)-(S), (C)-(Q), (D)-(R)

Solution

(A) A stationary charged ring produces only a time-independent electrostatic field -> P. (B) A rotating charged ring is a current loop, so it has a magnetic moment -> S. (C) A steady current produces a (steady) magnetic field -> Q. (D) A time-varying current produces a changing magnetic flux, inducing a time-varying electric field -> R. Thus (A)-P, (B)-S, (C)-Q, (D)-R, which is option 1.

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