A long straight conductor, having a circular cross section of radius 2 {m} carries a current along its length such its magnetic field varies as B=K r^{2}, 0 \leq r \leq 2 m, where {K} is a positive constant. The slope of the current density (j) vs radial distance 'r' at r=\frac{1}{2} m is \frac{\alpha K}{\mu_{0}}. The value of \alpha is.

JEE Advanced 2020 Concept Recapitulation Test 3 Paper 2

Question : 6 of 54

Marks: +1, -0

A long straight conductor, having a circular cross section of radius 2m carries a current along its length such its magnetic field varies as B=Kr2,0≤r≤2m, where K is a positive constant. The slope of the current density (j) vs radial distance 'r' at r=‌

m is ‌

αK

µ0

. The value of α is.

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