?A flux of 1 m Wb passes through a strip having an area A = 0.02 m2 th...
Given:
- Flux (Φ) = 1 m Wb
- Area (A) = 0.02 m²
- Angle between the plane of the strip and the direction of the uniform field (θ) = 60°
To find:
The value of the uniform magnetic field (B)
Formula:
Flux (Φ) = B * A * cos(θ)
Solution:
Step 1: Calculate the value of cos(θ)
The given angle is θ = 60°.
cos(60°) = 0.5
Step 2: Substitute the values into the formula and solve for B
Φ = B * A * cos(θ)
1 = B * 0.02 * 0.5
1 = 0.01B
B = 1 / 0.01
B = 100 mT
Therefore, the value of the uniform magnetic field (B) is 100 mT (millitesla).
Explanation:
- The magnetic flux (Φ) passing through a surface is given by the formula Φ = B * A * cos(θ), where B is the magnetic field, A is the area, and θ is the angle between the plane of the surface and the direction of the magnetic field.
- In this problem, we are given the flux Φ = 1 m Wb, area A = 0.02 m², and angle θ = 60°.
- We need to find the value of the magnetic field B.
- By rearranging the formula, B = Φ / (A * cos(θ)), we substitute the given values and solve for B.
- First, we calculate the value of cos(θ) by taking the cosine of the angle θ, which is 60°. The cosine of 60° is 0.5.
- Next, we substitute the values of Φ, A, and cos(θ) into the formula and solve for B.
- Finally, we simplify the equation to find B = 100 mT (millitesla).
- Therefore, the value of the uniform magnetic field B is 100 mT.
?A flux of 1 m Wb passes through a strip having an area A = 0.02 m2 th...
0.05 mT