Calculate the magnetic moment of a closely wound coil of 200 turns having a radius 15 cm and carrying a current of 4 A.
Question
Calculate the magnetic moment of a closely wound coil of 200 turns having a radius 15 cm and carrying a current of 4 A.
Solution
The magnetic moment (μ) of a coil can be calculated using the formula:
μ = NIA
where: N = number of turns in the coil I = current flowing through the coil A = area of the coil
Given: N = 200 turns I = 4 A Radius of the coil, r = 15 cm = 0.15 m (since 1m = 100cm)
The area (A) of the coil can be calculated using the formula for the area of a circle, which is πr². So,
A = πr² A = π * (0.15 m)² A = π * 0.0225 m² A = 0.0707 m²
Now, we can substitute N, I, and A into the formula for μ:
μ = NIA μ = 200 turns * 4 A * 0.0707 m² μ = 56.56 Am²
So, the magnetic moment of the coil is 56.56 Am².
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