My Notes Ask Your Teacher 12. -13 points SerCP11 19.P040 The orientation of smal

Question

My Notes Ask Your Teacher 12. -13 points SerCP11 19.P040 The orientation of small satellites is often controlled using torque from current-carrying coils in Earth's magnetic field. Suppose a multiturn coil has a cross-sectional area of 6.26 × 10-4 m2, dissipates 0.400 w of electrical power from a 5.50 V power supply, and provides a magnetic moment of magnitude 0.0400 A m2 HINT (a) Find the coil current I (in A). (b) Calculate the number of turns in the coi turns (c) Calculate the maximum magnitude of torque (in N·m) if Earth's magnetic field has magnitude 3.80 x 10-5 T at the satellite's location. N -m

Explanation / Answer

area, A=6.26*10^-4 m^2

power,P=0.4 W

voltage, v=5.5v

M=0.04 A.m^2

a)

power, P=V*I

0.4=5.5*I

===> I=72.73*10^-3 A

===> I=72.73 mA

b)

magnet moment, M=N*I*A

0.04=N*72.73*10^-3*6.26*10^-4

===> N=878.56

c)

torque,=M*B*sin(theta)

=0.04*3.8*10^-5

=1.52*10^-6 N.m

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