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9. A long straight wire carrying a steady current is parallel to and in the plan

ID: 1460390 • Letter: 9

Question

9. A long straight wire carrying a steady current is parallel to and in the plane of a oneturn rectangular loop of wire (currents and dimensions as shown). For the following, consider only the magnetic field produced by the long straight wire. (a) Use Amperes Law to derive the magnetic field outside the straight wire. (b) Calculate the net magnetic force on the loop (include direction!).

. A long straight wire carrying a steady current is parallel to and in the plane of a one- turn rectangular loop of wire (currents and dimensions as shown). For the following, consider only the magnetic field produced by the long straight wire. (a) Use Amperes Law to derive the magnetic field outside the straight wire. b) Calculate the net magnetic force on the loop (include direction!). Figure 6

Explanation / Answer

A) B = mu_o*i1/(2*pi*r)


B) Force on the loop is = F = B*i2*L