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Physics Galaxy Magnetism, EMI Alternating Current Vol 3 B by Ashish Arora

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Physics Galaxy Magnetism, EMI Alternating Current Vol 3 B by Ashish Arora

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Solutions for Physics Galaxy Magnetism, EMI Alternating Current Vol 3 B by Ashish Arora

Q: A current i=1 A circulates in a round thin wire loop of radius r=100 mm. Find the maignetic induction (a) At the centre of the loop (b) At a poent lying on the axis of the loop at a distance x=100 mm from its centre.

(a) At the center of a circular loop magnetic induction is given as⇒⇒B=2rμ0i1⋯⋯,⋯,B=2×0;14π×10−7×1.0B=6.28×10−6 Wb/m2≈6.3μT(b) As studied at a point on the axis of the loop magnetic induction is given as⇒⇒⇒B=4πμ0×(x2+r2)3/2ir2B=2×(0.02)3/24π×10−7×1.0×(0.1)2B=2.22×10−6 TB=2.22μT

Q: Find the magnetic induction at the centre of a rectangular wire frame whose diagonal length is equal to d=16 cm and the angle between the diagonals is equal to ϕ=30∘, the current flowing in the frame equals i=5.0 A. [0.1mT]

The rectangular wire frame as described in question is', shown in figure. The magnetic induction due to a straight finite length current carrying wire with angles ϕ1 and ϕ2 as shown in figure at a perpendicular distance is r given as