Question

A rectangular loop of wire 24 cm by 72 cm is bent into an L shape, as shown in the figure. (Figure 1) The magnetic field in the vicinity of the loop has a magnitude of 3.6×10⁻² T and points in a direction 25 ∘ below the y axis. The magnetic field has no x component.

1. Find the magnitude of the magnetic flux through the loop.

24 cm 36 em 24 cm 36 cm

Answer 1

Given, area of the loop in the xt plane is 24cm B 136cm → 24cm 36cm = 24 x 36 cm 0.0864 m2 The area of the loog in the ZX plane is 24 x 36 cm 864 X10 4 min = 0.0864 m2 The magnetic field, B= 3.68152 T o=250 from the figure, i = Bcose 7 - Bsino i 3.61102x cos25 9 3 6x102x sines R 0.0326 9 – 0.0152 Å T T is 5. A thro the area A ti = 0.0314 9 -0.0152 k 0.0152 x 0.0864 1.318 10 3 wb = (0 3) 40.08018)

- 2.82 x 103 4.13 x 103 The flux through the area A is 92 = 5. A an, r = A2 (0.031 } -0.0152 52k).10.08649) Drot 0.0326 x 0.0864 wb fic fima . The fun through magnitude of magnetic the loof is- 4 = 41+42 1.31 x 103 +2.82 x 103
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