1.

A rectangular loop of area 20 cm * 30 cmplaced in magnetic field of 0.3 T with its plane(i) normal to the field(ii) inclined 30° to the field and(ili) parallel to the field.Find the flux linked with the coil in eachcase.

Answer»

magnetic flux​φ = N B A cosθθ is the angle between manetic field and area of vector. NOTE that area vector is always perpendicular to its plane area

i) plane normal. This simplies area vector is parallel Soθ= 0φ = N B A cos 0 = N B AN = 1 turn B = 0.3 T and A = 20 * 10^-2 * 30 * 10^-2 m^2Hence magnetic flux = 0.3 *20 * 10^-2 * 30 * 10^-2 =180 * 10^-4weberii) plane inclined 30 deg with field implies that area vecotr is at 60 degreeSoφ= 0.3 * 20 * 10^-2 * 30 * 10^-2 * cos 60 =90 * 10^-4 Tiii) plane parallel to the field. Area vector is perpenducular. Soθ= 90 degHenceφ = N B A cos 90 = 0 ( incce cos 90 = 0)



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