A rectangular loop lies in the -plane with its corners at ,

MATHEMATICS · Subjective · ISC · Mathematics · Physics · Calculus

Problem

A rectangular loop lies in the xyxy-plane with its corners at (0,0)(0,0), (0,0.10 m)(0,0.10\,\text{m}), (0.20 m,0.10 m)(0.20\,\text{m},0.10\,\text{m}) and (0.20 m,0)(0.20\,\text{m},0). A non-uniform magnetic field given by B(x)=0.50 x k^  T\mathbf{B}(x)=0.50\,x\,\hat{k}\;\text{T} (with xx in metres) exists in the region. Calculate the total magnetic flux through the loop.

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