GATE EE 2017 Set 1 — Question 44
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Electromagnetic Fields → Magnetostatics → Biot-Savart Law
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Question
The magnitude of magnetic flux density (B) in micro Teslas (), at the center of a loop of wire wound as a regular hexagon of side length 1 m carrying a current ( A), and placed in vacuum as shown in the figure is ________. (Give the answer up to two decimal places.)
Correct answer
0.65 to 0.75
Solution
The magnetic flux density at the center of a regular -sided polygon of side length is given by:
where is the perpendicular distance from the center to a side. For a hexagon ():
Substituting the values:
Alternatively, using the formula for one side :
Given m, A, and H/m:
T
T = .
The value lies in the range 0.65 to 0.75.
where is the perpendicular distance from the center to a side. For a hexagon ():
Substituting the values:
Alternatively, using the formula for one side :
Given m, A, and H/m:
T
T = .
The value lies in the range 0.65 to 0.75.
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