(( ) , ( ), ( ) ) tesla Physicists model a magnetic field by assigning to every

Question

(( ) , ( ), ( ) ) tesla

Physicists model a magnetic field by assigning to every point in space a vector that represents the strength and direction of the field at that point. Two magnetic fields that exist in the same region of space may be added as vectors at each point to find the representation of their combined magnetic field. The "tesla" is the unit of magnetic field strength. At a certain point, magnet 1 contributes a field of (-4.8, 6.1, 3.7) tesla and magnet 2 contributes a field of (1.1, 4.5, 8.6) tesla. What is the combined magnetic field at this point?

(( ) , ( ), ( ) ) tesla

Explanation / Answer

magnetic field is a vector quantity

=> B = B1 + B2 ( it means respective magnitudes along same direction will add up)

=> B = (-4.8, 6.1, 3.7 ) + (1.1, 4.5, 8.6)

adding respective magnitudes

we get B = ( -5.9 , 1.6 , 4.9) Tesla

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