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Magnetism and Matter question

2022 · Q168
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Magnetism and Matter question

2022 · Q168

NEETPhysicsMagnetism and MatterMCQ+4 / −1

A big circular coil of 1000 turns and average radius 10 m is rotating about its horizontal diameter at 2 rad s−-−1. If the vertical component of earth's magnetic field at that place is 2 ×\times× 10−-−5 T and electrical resistance of the coil is 12.56 Ω\OmegaΩ, then the maximum induced current in the coil will be

  1. A
    0.25 A
  2. B
    1.5 A
  3. C
    1 A
  4. D
    2 A
View written solutionFree

Correct answer: C

$${\phi _B} = NBA\cos \omega t$$

$$\varepsilon = {{ - d{\phi _B}} \over {dt}} = - NBA\omega ( - \sin \omega t)$$

$$\varepsilon = NBA\omega \sin \omega t$$

$${i_{\max }} = {{{\varepsilon _{\max }}} \over R} - {{NBA\omega } \over R}$$

$$ = {{1000 \times 2 \times {{10}^{ - 5}} \times \pi {{(10)}^2} \times 2} \over {12.56}}$$

= 1 A

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