A small loop of area of $$cross-section$$ $$10-4$$ $$m2$$ is lying concentrically and coplanar inside a bigger loop of radius $$0.628$$ m. A current of $$10$$ A is passed in the bigger loop. The smaller loop is rotated about its diameter with an angular velocity ω. The magnetic flux linked with the small loop will be

Question

A small loop of area of $$cross-section$$ $$10-4$$ $$m2$$ is lying concentrically and coplanar inside a bigger loop of radius $$0.628$$ m. A current of $$10$$ A is passed in the bigger loop. The smaller loop is rotated about its diameter with an angular velocity ω. The magnetic flux linked with the small loop will be

Infinity Learn · Accepted Answer

We know that Φ$$=BAcos$$⁡ωt Here $$B=$$μ$$0i2r$$ ∴Φ$$=$$μ$$0i2r$$×Acos⁡ωt $$=4$$×$$3$$⋅$$14$$×$$10$$−$$7102$$×$$0$$⋅$$628$$×$$10$$−$$4$$×$$cos$$⁡ωt $$=10$$−$$9cos$$⁡ωt

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A small loop of area of cross-section 10-4 m2 is lying concentrically and coplanar inside a bigger loop of radius 0.628 m. A current of 10 A is passed in the bigger loop. The smaller loop is rotated about its diameter with an angular velocity ω. The magnetic flux linked with the small loop will be

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