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Match List I with List II.

List IList II
(a) Ohm's law at a point(i) ∇·D = ρ
(b) Kirchhoff's voltage law(ii) ∇·J = 0
(c) Kirchhoff's current law(iii) ΣV = I Σ R
(d) Gauss's law at a point(iv) J = σ E

Choose the most appropriate answer from the options given below :

  • A.(a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)
  • B.(a)-(iv), (b)-(ii), (c)-(iii), (d)-(i)
  • C.(a)-(i), (b)-(ii), (c)-(iv), (d)-(iii)
  • D.(a)-(i), (b)-(ii), (c)-(iii), (d)-(iv)

Answer: A

The correct matching is (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i).

  • Ohm's law at a point relates current density to field: J = σE, (iv).
  • Kirchhoff's voltage law says the emfs round a loop equal the IR drops: ΣV = IΣR, (iii).
  • Kirchhoff's current law in point form, for steady currents, is ∇·J = 0: no charge accumulates, (ii).
  • Gauss's law at a point is ∇·D = ρ, (i).

The other options swap the two Kirchhoff laws or pair Ohm's law with Gauss's law.

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