A magnetic field of 0.3 T is perpendicular to a circular loop of radius 0.1 m. What is the magnetic flux through the loop?

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Q: A magnetic field of 0.3 T is perpendicular to a circular loop of radius 0.1 m. What is the magnetic flux through the loop?

Solution: Magnetic flux (Φ) = B * A = 0.3 T * π(0.1 m)² = 0.03 Wb.

Steps: 9

Step 1: Identify the magnetic field strength (B). In this case, B = 0.3 T (Tesla).
Step 2: Identify the radius of the circular loop. Here, the radius (r) = 0.1 m.
Step 3: Calculate the area (A) of the circular loop using the formula A = πr².
Step 4: Substitute the radius into the area formula: A = π(0.1 m)².
Step 5: Calculate the area: A = π(0.01 m²) = 0.0314 m² (approximately).
Step 6: Use the formula for magnetic flux (Φ): Φ = B * A.
Step 7: Substitute the values of B and A into the flux formula: Φ = 0.3 T * 0.0314 m².
Step 8: Calculate the magnetic flux: Φ = 0.00942 Wb (approximately).
Step 9: Round the answer to two decimal places: Φ ≈ 0.03 Wb.