Discussion

Match List I with List II

List I	List II
a. \(dH = \frac{I\,dL \sin\theta}{4\pi r^{2}}\)	I. Ampere's law
b. \(I = \oint H.dl\)	II. Biot-Savart law
c. \(\oint B.dS = 0\)	III. Faraday's law
d. \(emf = \oint E.dL\)	IV. Gauss's law for magnetic field

Choose the correct answer from the options given below:

Answer: B

The correct match is a-II, b-I, c-IV, d-III.

a. dH = I dL sinθ / 4πr² gives the field of a current element: the Biot-Savart law (II).
b. The line integral of H round a closed path equals the current enclosed: Ampere's circuital law (I).
c. The net magnetic flux out of any closed surface is zero, because there are no magnetic monopoles: Gauss's law for the magnetic field (IV).
d. The emf round a closed loop is the line integral of the electric field, which equals the rate of change of flux: Faraday's law (III).

The other options swap Ampere's and Faraday's laws or the Biot-Savart and Ampere laws, so each has at least two pairs wrong.

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