A coil of mean area $$500$$ $$cm2$$ and having $$1000$$ turns is held perpendicular to a uniform field of $$0.4$$ gauss. the coil is turned through $$180o$$ in $$1/10$$ second. The average induced emf (in$$ $$V) is

Question

Infinity Learn · Accepted Answer

When the plane of coil is perpendicular to field, the angle between area $\vec{A}$ and field $\vec{B}$ is 0^o.

The flux linked with coil $ϕ_{1} = N B A \cos 0^{0} = N B A$ .
$w h e n t h e c o i l r o t a t e s 180^{0} f l u x l i n k e d φ_{2} = B A N \cos 180^{0} = - B A N$

$∴ Change in flux ϕ = ϕ_{2} - ϕ_{1} = - 2 N B A$

$The magnitude of the induced emf is ε = - \frac{d ϕ}{d t} = \frac{2 N B A}{d t} = \frac{2 \times 1000 \times 0.4 \times 10^{- 4} \times 500 \times 10^{- 4}}{\frac{1}{10}} = 0.04 V$

Magnetic flux and induced emf

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A coil of mean area 500 cm² and having 1000 turns is held perpendicular to a uniform field of 0.4 gauss. the coil is turned through 180^o in 1/10 second. The average induced emf (in V) is

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Magnetic flux and induced emf

Remember concepts with our Masterclasses.

A coil of mean area 500 cm2 and having 1000 turns is held perpendicular to a uniform field of 0.4 gauss. the coil is turned through 180o in 1/10 second. The average induced emf (in V) is

Ready to Test Your Skills?

free study material

A coil of mean area 500 cm² and having 1000 turns is held perpendicular to a uniform field of 0.4 gauss. the coil is turned through 180^o in 1/10 second. The average induced emf (in V) is