the magnetic induction field at the centroid of an equilateral triangle of side l and current carrying i will be
Answers
Answer:
B =
Explanation:
The angle subtented at centre by every side = 60 degree.
Let , r = perpendicular distance to centre from every side
r = tan 30 =
By Biot Savart Law , magnetic field B due to one side
=
=
m = permitivity.
B due to each side will be equal as it is equitateral
B =
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Answer:
B will be 9μi/2l.
Explanation:
Given that the side length of equilateral triangle is l and the current running through it is i.
The angle subtended at the center by each side will be 60 as shown in the figure.
According to formula from Biot Savart Law,
B due to one side = μ x
here r is the perpendicular distance from one side to the center.
r = l/2 tan30
r =
here because the triangle is equilateral.
So, B = μ x
= μ x
= μ x
Therefore, for three sides it will be
B = 3μ x
B = 9μ x.
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