JEE PYQ: Magnetic Effects Of Current Question 25
Question 25 - 2020 (07 Jan 2020 Shift 1)
A loop ABCDEFA of straight edges has six corner points $A(0,0,0)$, $B(5,0,0)$, $C(5,5,0)$, $D(0,5,0)$, $E(0,5,5)$ and $F(0,0,5)$. The magnetic field in this region is $\vec{B} = (3\hat{i} + 4\hat{k})$ T. The quantity of flux through the loop $ABCDEFA$ (in Wb) is ______.
Show Answer
Answer: 175
Solution
The loop has two planar parts: ABCD with area vector $25\hat{k}$, and ADEFA with area vector $25\hat{i}$. Flux $\phi = \vec{B} \cdot \vec{A} = (3\hat{i} + 4\hat{k}) \cdot (25\hat{i} + 25\hat{k}) = 75 + 100 = 175$ Wb.
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