The area of a rectangular loop is 200 c m 2 , and the plane of the loop makes an angle of 41 ∘ with a 0.28-T magnetic field. What is the magnetic flux penetrating the loop?

Step 1Area of rectangular loop (A) = 200 c m 2 θ = 41 ∘ (Angle made by the plane of loop with magnetic field)Magnetic field strength (B) = 0.28 T

Expert Answer to "The area of a rectangular loop is 200..."

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Physics
Electromagnetism
Magnetism

terrasson81sgt

Answered question

2022-05-15

The area of a rectangular loop is

200 c m^{2}

, and the plane of the loop makes an angle of

41^{\circ}

with a 0.28-T magnetic field. What is the magnetic flux penetrating the loop?

Answer & Explanation

pradassas66b2d

Beginner2022-05-16Added 11 answers

Step 1
Area of rectangular loop (A) =

200 c m^{2}

θ = 41^{\circ}

(Angle made by the plane of loop with magnetic field)
Magnetic field strength (B) = 0.28 T

Logan Lamb

Beginner2022-05-17Added 2 answers

continued to the first answer
Step 2
Angle of normal to the loop surface with magnetic field = 90 − 41

θ_{0} = 41^{\circ}

Using the formula for magnetic flux :
Magnetic flux =

B \times A \times \cos θ_{0}

Magnetic flux =

0.28 T \times (200 \times 10^{- 4} m^{2}) \times \cos (49^{\circ})

Magnetic flux =

3.67 \times 10^{- 3} W b

(magnetic flux penetrating the loop)

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