A loop of wire is placed in a uniform magnetic field. If the angle between the f
Practice Questions
Q1
A loop of wire is placed in a uniform magnetic field. If the angle between the field and the normal to the loop is 60 degrees, what is the effective magnetic flux?
0.5 B A
0.866 B A
0.866 B A²
B A
Questions & Step-by-Step Solutions
A loop of wire is placed in a uniform magnetic field. If the angle between the field and the normal to the loop is 60 degrees, what is the effective magnetic flux?
Step 1: Identify the formula for magnetic flux, which is Φ = B * A * cos(θ).
Step 2: Understand the variables: B is the magnetic field strength, A is the area of the loop, and θ is the angle between the magnetic field and the normal to the loop.
Step 3: In this case, the angle θ is given as 60 degrees.
Step 4: Substitute the angle into the formula: Φ = B * A * cos(60°).
Step 5: Calculate cos(60°), which is 0.5.
Step 6: Substitute cos(60°) back into the formula: Φ = B * A * 0.5.
Step 7: Simplify the expression to get the effective magnetic flux: Φ = 0.5 * B * A.
Magnetic Flux – Magnetic flux is the product of the magnetic field (B), the area of the loop (A), and the cosine of the angle (θ) between the magnetic field and the normal to the surface.
Angle Measurement – Understanding the significance of the angle between the magnetic field and the normal to the loop is crucial for calculating effective magnetic flux.
Cosine Function – The cosine function is used to determine the effective component of the magnetic field that contributes to the flux through the loop.
