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Q.

Resistivity of wire AB is given by ρ=ρ01−xℓ where (AB=ℓ) and x is measured from end B. If balancing lengths is 2ℓ3 from end A, find x.

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a

4R5

b

5R4

c

3R4

d

3R5

answer is A.

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Detailed Solution

RAB=∫0ℓ ρ0A1−xℓdx=ρ02AℓRBC=∫0ℓ/3 ρ0A1−xℓdx=5ρ0ℓ18A&RAC=ρ0ℓ2A−5ρ0ℓ18A=29ρ0ℓA at null point ;XR=RACRCB=29×185=45

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Resistivity of wire AB is given by ρ=ρ01−xℓ where (AB=ℓ) and x is measured from end B. If balancing lengths is 2ℓ3 from end A, find x.