Engineer IN designs a simple induction heater from a rigid long wire and a rectangular loop. The width of the loop is w=7.3 cm and length ℓ2−ℓ1 . Loop w -sides are parallel to the wire and at perpendicular distances from the wire ℓ1=4.1 cm and ℓ2=9.3 cm . The currents in the wire and the loop are I=5.6 A and i=0.33 A . There is only (ohmic) resistance R in the loop i.e. the self-induction is assumed to be small (zero). Calculate the distance between the wire and the loop a) internal force F . b) mutual inductance M . M=

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2 W