Problem 7: A power line carries a DC current of I = 25 A in a direction ø = 27° east of magnetic north through an open field, in a location where the Earth's magnetic field is horizontal and its strength is B = 0.55 G.

Principles of Physics: A Calculus-Based Text
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Chapter22: Magnetic Forces And Magnetic Fields
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Could I get help with part A and part F please? Thank you!

Problem 7: A power line carries a DC current of I = 25 A in a direction o = 27° east of magnetic north through an open field, in a location where the
Earth's magnetic field is horizontal and its strength is B = 0.55 G.
Part (a) Calculate the magnitude of the magnetic force per unit length, F/l, in newtons per meter, exerted on the wire due to the Earth's magnetic
field.
F/l =
N/m
(O 7
E ^ A 4 5
sin()
cos()
tan()
8.
JT
НОME
cotan()
asin()
acos()
6.
atan()
acotan()
sinh()
1
2 3
cosh()
tanh()
cotanh()
+
END
O Degrees
Radians
VO BАСKSРАСЕ
DEL
CLEAR
Submit
Hint
Feedback
I give up!
Part (b) In what direction does the force on the wire act?
Part (c) You decide to re-orient the wire to minimize the magnetic force acting on the wire. In what direction(s) could the current flow?
Part (d) In what direction(s) could you orient the current flow to maximize the magnetic force acting on the wire?
Part (e) In which of the directions that correctly answer part (d) is the magnetic force on the wire up?
Part (f) If the wire is oriented so that the current flows in the direction you chose for part (e), what would the mass per unit length of the wire, u, in
grams per meter, need to be for the magnetic force to balance the weight of the wire?
Transcribed Image Text:Problem 7: A power line carries a DC current of I = 25 A in a direction o = 27° east of magnetic north through an open field, in a location where the Earth's magnetic field is horizontal and its strength is B = 0.55 G. Part (a) Calculate the magnitude of the magnetic force per unit length, F/l, in newtons per meter, exerted on the wire due to the Earth's magnetic field. F/l = N/m (O 7 E ^ A 4 5 sin() cos() tan() 8. JT НОME cotan() asin() acos() 6. atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() + END O Degrees Radians VO BАСKSРАСЕ DEL CLEAR Submit Hint Feedback I give up! Part (b) In what direction does the force on the wire act? Part (c) You decide to re-orient the wire to minimize the magnetic force acting on the wire. In what direction(s) could the current flow? Part (d) In what direction(s) could you orient the current flow to maximize the magnetic force acting on the wire? Part (e) In which of the directions that correctly answer part (d) is the magnetic force on the wire up? Part (f) If the wire is oriented so that the current flows in the direction you chose for part (e), what would the mass per unit length of the wire, u, in grams per meter, need to be for the magnetic force to balance the weight of the wire?
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