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Q.

Let BP and BQ be the magnetic fields produced by the wires P and Q respectively which are placed symmetrically in a rectangular loop ABCD as shown in figure. Current in wire P is I directed inward and in Q is 2I directed outwards.

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if ABBQdℓ=2μ0 tesla meter , DABPdℓ=2μ0 tesla meter & ABBPdℓ=μ0  tesla meter the value of "I"  will be :

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a

4 A

b

6 A

c

8 A

d

5 A

answer is D.

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Detailed Solution

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2μ0μ0+μ0+2μ0+2μ0+4μ0+4μ02μ0=μ0II=6A

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Let BP and BQ be the magnetic fields produced by the wires P and Q respectively which are placed symmetrically in a rectangular loop ABCD as shown in figure. Current in wire P is I directed inward and in Q is 2I directed outwards.if ∫AB B→Q⋅dℓ→=2μ0 tesla meter , ∫DA B→P⋅dℓ→=−2μ0 tesla meter & ∫AB B→P⋅dℓ→=−μ0  tesla meter the value of "I"  will be :