A rectangular surface lies in the -plane and is bounded by and

MATHEMATICS · Single correct · ISC · Mathematics · Physics · Calculus

Problem

A rectangular surface lies in the xyxy-plane and is bounded by 0≤x≤0.10 m0\le x \le 0.10\,\text{m} and 0≤y≤0.05 m0\le y \le 0.05\,\text{m}. A magnetic field directed along the positive zz-axis varies with xx as B(x)=0.20 x  T m−1B(x)=0.20\,x\;\text{T}\,\text{m}^{-1}. Find the total magnetic flux through the surface. (a) 2.5×10−5 Wb2.5\times 10^{-5}\,\text{Wb} (b) 1.0×10−4 Wb1.0\times 10^{-4}\,\text{Wb} (c) 5.0×10−5 Wb5.0\times 10^{-5}\,\text{Wb} (d) 2.5×10−4 Wb2.5\times 10^{-4}\,\text{Wb}

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