A square loop ABCD of side ℓ , carries a current i as shown. The loop lies in x-y plane with centre as origin. for a point P having coordinate (0, 0, z). List - I List - II (I) For z 0 , unit vector

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A square loop ABCD of side ℓ , carries a current i as shown. The loop lies in x-y plane with centre as origin. for a point P having coordinate (0, 0, z). List - I List - II (I) For z > 0 , unit vector along magnetic field at P is (P) 2 π ( z 2 + 4 ℓ 2 ​ ) 3/2 μ 0 ​ i ℓ 2 ​ (II) For z > 0 , unit vector along magnetic field at P only due to wire AB is. (Q) 4 ℓ 2 ​ + z 2 ​ 2 ℓ ​ k ^ − z j ^ ​ ​ (III) For z > 0 , unit vector along magnetic field at P only due to wire BC is (R) 2 π ( z 2 + 4 ℓ 2 ​ ) ( z 2 + 2 ℓ 2 ​ ​ ) μ 0 ​ i ℓ 2 ​ (IV) For z > 0 , the magnitude of magnetic field at P is (S) 4 ℓ 2 ​ + z 2 ​ 2 ℓ ​ k ^ + z i ^ ​ (T) k ^

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Conceptual. Field due to finite wire results to be used. Direction is along 1 cross r cap.

List - I	List - II
(I) For $z > 0$ , unit vector along magnetic field at P is	(P) $\frac{μ _{0} i ℓ ^{2}}{2 π ( z ^{2} + \frac{ℓ ^{2}}{4} ) ^{3/2}}$
(II) For $z > 0$ , unit vector along magnetic field at P only due to wire AB is.	(Q) $\frac{\frac{ℓ}{2} k ^ - z j ^}{\frac{ℓ ^{2}}{4} + z ^{2}}$
(III) For $z > 0$ , unit vector along magnetic field at P only due to wire BC is	(R) $\frac{μ _{0} i ℓ ^{2}}{2 π ( z ^{2} + \frac{ℓ ^{2}}{4} ) ( z ^{2} + \frac{ℓ ^{2}}{2} )}$
(IV) For $z > 0$ , the magnitude of magnetic field at P is	(S) $\frac{\frac{ℓ}{2} k ^ + z i ^}{\frac{ℓ ^{2}}{4} + z ^{2}}$
	(T) $\hat{k}$

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