Find the magnitude and direction in a semi circle of radius 0.5 cm carrying a current of 2A which placed in a uniform magnetic field 0.3T
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Answer: 0.06 N
you mean force on a semicircle ? correct.
Explanation:
this will be solved using an integral
of F over Delta s from o to pi/ 2
Magnetic force on the semicircular wire, Fmag =i∫(dl ×B )=iB∫dl =iB(2r)=2iBr(−r^)
where r is the radius of the semi circular loop.
F Net =2B I R= 0.6x 2x 5/100= 0.06 N .
Direction Is Perpendicular to Diameter of Semi Loop, pointing in Radial outwards direction
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