Question

In each of the following questions, Match column-I and column-II and select the correct match out of the four given choices.

column - I	column - II
(A) Magnetic field induction due to Current 1 through straight conductor at a perpendicular distance r.	(P)(μ0I/2r)
(B) Magnetic field induction at the centre of current (1) carrying Loop of radius (r)	(Q) [(μ0I)/(4 π r)]
(C) Magnetic field induction at the axis of current (1) carrying coil of radius (r) at a distance (r) from centre of coil	(R) [μ0/(4π)](2I/r)
(D) Magnetic field induction at the at the centre due to circular arc of length r and radius (r) carrying current (I)	(S)[μ0/(4√2)](I/r)

(a) A → R; B → S; C → P; D → Q 

(b) A → R; B → P; C → S; D → Q 

(c) A → P; B → Q; C → S; D → R 

(d) A → Q; B → P; C → R; D → S

Answer 1

  The correct option (b) A → R; B → P; C → S; D → Q 

Explanation:

 

 

(A) For straight conductor at perpendicular distance r, 

B = (μ₀/4π)(2I/r) 

(B) For loop, B at centre = (μ₀I/2r) 

(C) For coil, B at distance = [μ₀/(4√2)](I/r) 

(D) For arc, B at centre = [(μ₀I)/(4πr)] 

∴ A → R; B → P; C → S; D → Q