A 20-turn rectangular coil with sides l = 30 cm and w = 10 cm is placed in the y−z plane a...

A 20-turn rectangular coil with sides l = 30 cm and w = 10 cm is placed in the y−z plane as shown in Figure.

(a) If the coil, which carries a current I = 10 A. is in the presence of a magnetic flux density

B = 2 × 10–2(+ 2) (T),

determine the torque acting on the coil.

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(b) At what angle ϕ is the torque zero?

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(c) At what angle ϕ is the torque maximum? Determine its value.

Figure : Rectangular coil of Problem