Question

Divya is building a circuit for her physics class. Point PPP on one of her wires has a magnetic field strength of 6 \cdot 10^66⋅10 6 6, dot, 10, start superscript, 6, end superscript webers per square megameter, where 111 megameter is equal to 10^610 6 10, start superscript, 6, end superscript meters. What is the magnetic field strength in teslas?

Answer 1

Given Information:

Magnetic field strength = 6×10⁶ Wb/Mm²

Required Information:

Magnetic field strength in Tesla = ?

Answer:

Magnetic field strength in Tesla = 6×10⁻⁶ T

Explanation:

Tesla is a SI derived unit of magnetic flux and was named in the honor of Nikola Tesla.

Weber/m² is a SI derived unit of magnetic flux and was named after Wilhelm Eduard Weber who was a German physicist.

1 weber per square meter (wb/m²) is equal to 1 Tesla (T)

6×10⁶ wb/Mm²

Since 1 Mm² is equal to 1×10¹² m²

6×10⁶ wb/1×10¹² m²

6×10⁶⁻¹² wb/m²

6×10⁻⁶ wb/m²

Since 1 wb/m² is equal to 1 T

6×10⁻⁶ T

Answer 2

Answer:

6 × 10⁻¹⁸ T

Explanation:

The magnetic flux density Ф in Weber (Wb) = BAcosθ where B = magnetic field strength and A = area in square meter,θ = angle between B and A.

Now B = Φcosθ/A

Since B = 6 × 10⁻⁶ Weber per square mega meter = 6 × 10⁻⁶ Wb/Mm² = 6 × 10⁻⁶ Wb/(10⁶ m)² = 6 × 10⁻⁶/10¹² Wb/m² = 6 × 10⁻¹⁸ Wb/m² = 6 × 10⁻¹⁸ Tesla = 6 × 10⁻¹⁸ T (Since 1 Weber/m² = 1 Tesla)