Two bar magnets (1) and(2) orthogonal to each other create at point M (intersection of their supports) the respective magnetic field vectors B1 and B2 of intensity: B1=o.oo3T and B2=0.004T
a)Determine the names of the poles of the magnets.
b)Construct the resultant field vector B.
c)Calculate B
d)What direction would a magnetic needle placed at M take?
a) The poles of a magnet are called North (N) and South (S) poles.
b) To construct the resultant field vector B, we can use the vector addition. Draw the vectors B1 and B2 tail-to-head. The tail of B1 should start at the North pole of magnet 1, and the head of B2 should end at the South pole of magnet 2. The resultant vector B will be the vector starting from the tail of B1 and ending at the head of B2.
c) To calculate the magnitude of B, we can use the Pythagorean theorem. The magnitude of B can be calculated as:
B = sqrt(B1^2 + B2^2)
Substituting the given values:
B = sqrt((0.003T)^2 + (0.004T)^2)
d) The magnetic needle placed at point M would align itself with the magnetic field vector B. Therefore, the needle would align in the direction of vector B.
To answer the given questions, we'll need to combine the magnetic field vectors B1 and B2 to determine the resultant field vector B at point M. Here's how you can do that step by step:
a) Determining the names of the poles of the magnets:
To determine the names of the poles, we need to identify the direction of the magnetic field at point M. Let's take B1 as the field created by the first magnet (1) and B2 as the field created by the second magnet (2). Since the magnets are orthogonal to each other, the magnetic field vectors B1 and B2 are perpendicular and form a right angle at M.
b) Constructing the resultant field vector B:
To construct the resultant field vector B, we need to add the vectors B1 and B2 vectorially. Begin by drawing a coordinate system with B1 and B2 as vectors. Then, place the tail of one vector at the head of the other vector to form a parallelogram. The diagonal of this parallelogram represents the resultant vector, which is B.
c) Calculating B:
To calculate the magnitude of B, we can use the Pythagorean theorem since B is the hypotenuse of a right triangle formed by B1 and B2. The magnitude of B can be found using the equation:
B = sqrt(B1^2 + B2^2)
where B1 = 0.003 T and B2 = 0.004 T.
d) Determining the direction of a magnetic needle placed at M:
The direction of the magnetic needle placed at point M will align with the direction of the magnetic field vector B.
I hope this explanation helps you understand how to approach and answer the given questions about the magnetic field vectors and their effects.