(Solved): A conducting coil consisting of n turns of wire is placed in a uniform magnetic field of magnitude ...

A conducting coil consisting of $n$ turns of wire is placed in a uniform magnetic field of magnitude $B=1.79\mathrm{T}$ oriented in the positive $y$ direction as shown in the figure. The radius of the coil is $R=4.85\mathrm{cm}$, and the angle between the magnetic field vector and the unit normal vector to the coil is $?=60.0^{?}$. The current through the coil is $i=$ 4.07 A. a) Calculate the number of turns, $n$, the coil must have for the torque on the loop to be $3.83\mathrm{N}\mathrm{m}$. Tries $0/100$ b) If the radius of the loop is decreased to $R=2.29\mathrm{cm}$, what should the number of turns, $N$, be for the torque to remain unchanged? Assume that $i,B$, and $?$ stay the same. Tries 0/100