# What magnetic flux penetrates a ring with a radius of 2.5 cm if the magnetic induction is 4 T

September 22, 2021 | education

| **What magnetic flux penetrates a ring with a radius of 2.5 cm if the magnetic induction is 4 T, the ring is perpendicular to vector B.**

Task data: R (ring radius, contour radius) = 2.5 cm (0.025 m); B (magnetic induction) = 4 T; so the ring (contour) is located perpendicular to the lines of magnetic induction, then cosα = 1 (α = 0º).

The magnitude of the magnetic flux that will penetrate the ring under consideration is determined by the formula: Ф = B * S * cosα = B * Π * R ^ 2.

Calculation: Ф = 4 * 3.14 * 0.025 ^ 2 = 0.00785 Vb (7.85 mVb).

Answer: The ring will have to penetrate a magnetic flux of 7.85 mWb.

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