A high current power line is aligned from geographical south to north. Your comp

Question

A high current power line is aligned from geographical south to north.   Your compass is 80 cm directly under it...
question asks for 3 things, plz answer all
1)Direction the compass needle will point
2)Strenghth of Magnetic field
3)An accurate sketch

8. A high current power line is aligned from geographic south to north. Your compass is 80 cm directly under it. The earth's magnetic field at this location is known to be 30 T at 12° east of true north. The actual curent (electrons) in the power line is 280 A traveling south. Determine the direction your gompass needle will point and the strength of the net Magnetic Field at that point Make an Accurate Sketck 0,

Explanation / Answer

Formula for magneti fie;ld due to st currnt carrying wire is B = uoi/2piR

uo is 4pie -7 constant

R is the location where we need magnetic field

so

so B = 2 e-7 * 280/0.8 = 7 e -5 Tesla

Horizontal Component Bx Bcos theta = 30 e-6 cos 12

Bx = 2.93 e -5 Tesla

Vertical component By = B - Be sin theta

By = 7 e-5 - (30 e -6 * sin 12)

By = 6.37 e -5 T

Direction is tan theta = By/Bx

tan theta = 6.37/2.93

theta = 65.3 deg -------<<<<<Answer for directo

Bnet^2 = Bx^2 + By^2

Bnet^2 = 2.93^2 + 6.37^2

Bnet = 7 e -5 Tesla -----------------Answer for Bnet

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