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What is the change in magnetic flux in a coil of area 5m^2 as its orientation relative to the perpendicular of a uniform 3T magnetic field changes from 45 degree to 90 degree?
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What is the change in magnetic flux in a coil of area 5m^2 as its orie...


Change in Magnetic Flux in a Coil

The change in magnetic flux in a coil can be calculated using the formula:
ΔΦ = B * A * Δθ
where ΔΦ is the change in magnetic flux, B is the magnetic field strength, A is the area of the coil, and Δθ is the change in angle.

Given Parameters:
- Area of the coil (A) = 5m^2
- Magnetic field strength (B) = 3T
- Initial angle (θ1) = 45 degrees
- Final angle (θ2) = 90 degrees

Calculating Change in Magnetic Flux:
1. Calculate the initial magnetic flux (Φ1) at 45 degrees:
Φ1 = B * A * cos(45)
Φ1 = 3 * 5 * cos(45)
Φ1 = 15 * 0.7071
Φ1 = 10.6065 Wb

2. Calculate the final magnetic flux (Φ2) at 90 degrees:
Φ2 = B * A * cos(90)
Φ2 = 3 * 5 * cos(90)
Φ2 = 15 * 0
Φ2 = 0 Wb

3. Calculate the change in magnetic flux:
ΔΦ = Φ2 - Φ1
ΔΦ = 0 - 10.6065
ΔΦ = -10.6065 Wb

Conclusion:
As the orientation of the coil changes from 45 degrees to 90 degrees relative to the perpendicular of the magnetic field, the change in magnetic flux is -10.6065 Wb. This indicates a decrease in magnetic flux as the coil rotates to a position perpendicular to the magnetic field.
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What is the change in magnetic flux in a coil of area 5m^2 as its orientation relative to the perpendicular of a uniform 3T magnetic field changes from 45 degree to 90 degree?
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