A magnetic field of 0.3 T is perpendicular to a circular loop of radius 0.1 m. W
Practice Questions
Q1
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?
0.03 Wb
0.03 Tm²
0.1 Wb
0.1 Tm²
Questions & Step-by-Step Solutions
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?
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.
Magnetic Flux – Magnetic flux (Φ) is the product of the magnetic field (B) and the area (A) through which the field lines pass, calculated as Φ = B * A.
Area of a Circle – The area (A) of a circle is calculated using the formula A = πr², where r is the radius of the circle.
