Let r 1 (r 2 ) point to a line element ds 1 (ds 2 ) of a closed loop C 1 (C 2 ) which carries a current I 1 (I 2 ) Experiment shows that the force exerted on I 1 by I 2 is (a) Show that (b) Use (a) to show that F Ijds $12ds2 Mo 4 C1 C2 11 12 r r

Question: Let r 1 (r 2 ) point to a line element ds 1 (ds 2 ) of a closed loop C 1 (C 2 )

Let r₁ (r₂) point to a line element ds₁ (ds₂) of a closed loop C₁ (C₂) which carries a current I₁ (I₂). Experiment shows that the force exerted on I₁ by I₂ is F = - Ijds $12ds2 Mo 4 C1 C2 11 - 12

(a) Show that |r r| -

(b) Use (a) to show that

F = - Ijds $12ds2 Mo 4 C1 C2 11 - 12 |r r| -

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