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A nonconducting ring of radius 0.5 m carries a total charge of 1.11 x 10-10C distributed nonuniformly on its circumference, producing an electric field Vector E everywhere in space. The value of the line integral ∫ - Vector E. dl Vector dl l∈[l = ∞,l = 0](l = 0 being the centre of the ring) in volts is(a) +2 (b) -1 (c) -2 (d) 0 |
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Answer» Correct Answer is: (a) +2 The line integral gives the work done in bringing a unit positive charge, on which the force is Vector E, from ∞ to the centre of the ring. This is equal to the potential at the centre, taking the potential at ∞ to be zero. Its value is V k = Q/R = 9 x 109 x 1.11 x 10-10 / 0.5 = 2 V. |
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