At a certain location, Earth has a magnetic field of 0.60E-4 Tpointing 75-degree

Question

At a certain location, Earth has a magnetic field of 0.60E-4 Tpointing 75-degrees below the horizontal in a N-S plane. A 10.0mlong straight wire carries a 15-A current. (a) if the current is directed horizontally toward the E,what's the magnitude and direction of the magnetic force on thewire? (b) what's the magnitude and direction of force if currentdirected vertically upward? Thanks for your help, for some reason Cramster doesn't havethis answer in their key. At a certain location, Earth has a magnetic field of 0.60E-4 Tpointing 75-degrees below the horizontal in a N-S plane. A 10.0mlong straight wire carries a 15-A current. (a) if the current is directed horizontally toward the E,what's the magnitude and direction of the magnetic force on thewire? (b) what's the magnitude and direction of force if currentdirected vertically upward? Thanks for your help, for some reason Cramster doesn't havethis answer in their key.

Explanation / Answer

(a)    B = 0.60 10-4 T,    = 75o    L = 9.9 m    I = 20 A    If the current is directed horizontally towardthe east, then = 90o the    magnitude and
   direction of the magnetic force on the wire wiibe    F = B I L sin 90o        = .............. N    the direction will be    15° above the horizontal in the northwarddirection (b)    here = 165o    so we get    F = B I L sin 165o        = .............. N    the direction will be    horizontal and directed due west    hope you got it        = .............. N    the direction will be    horizontal and directed due west    hope you got it

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