(S%) Problem 12: A circular coil comprised of N 35 closely winded turns of wire
ID: 1399422 • Letter: #
Question
(S%) Problem 12: A circular coil comprised of N 35 closely winded turns of wire and has a radius R 0.55 m. A counterclockwise current I 3.5 A is in the coil. The coil is placed in a magnetic field of magnitude B 1.2 T. The magnetic field points to right. 10% Part (a Express the magnetic dipole moment u in terms of the number of the turns N the current I and radius R A 10% Part (b) Calculate the numerical value of u in SI units 10% Part (c) Which direction does u go? A 10% Part (d) Express the magnitude of the torque r in terms of u and B A 10% Part (e) Calculate the numerical value of r in N. m. 10% Part (f Which direction does the torque go? A 10% Part (g What is the potential energy of the coil in the magnetic field, in terms of the variables provided? A 10% Part (h) If the magnetic field was pointing upward, express the potential energy of the coil in the magnetic field, Uu, in terms of and B EA 10% Part (i) Calculate the numerical value of U in J A 10% Part G) What's the torque tu now?Explanation / Answer
a). = NIA= N x pi x R2 x I
b). = 35 x 3.14 x 0.55 x 0.55 x 3.5 = 116.36 Nm.T-1
c). using Right hand rule direction
upwards
d). torque = X B
e). Torque = x B x sin(90) = 116.36 x 1.2 = 139.63 Nm
f). inside the paper.
g). U = -.B cos(theta) = 0 (cos90 = 0)
h). U= -1.2
i). U= - 1.2 x 116.36 = -139.63 J
j). toque = 0 (sin0=0) angle btw and B is 0deg.
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