A coil is placed perpendicular to a magnetic field of 5000T. When the field is changed to 3000T in 2s, an induced emf of 22 V is produced in the coil. If the diameter of the coil is 0.02 m, then the number of turns in the coil is

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Solution

Q.
A coil is placed perpendicular to a magnetic field of 5000T. When the field is changed to 3000T in 2s, an induced emf of 22 V is produced in the coil. If the diameter of the coil is 0.02 m, then the number of turns in the coil is [2024]

1 70

2 140

3 35

4 7

Ans.
(1)

$ε = N (\frac{Δ ϕ}{t})$

   $Δ ϕ = (Δ B) A$

   $B_{i} = 5000 T, B_{f} = 3000 T$

   $Δ ϕ = (Δ B) A = (2000) π {(0.01)}^{2} = 0.2 π$

$ε = N (\frac{Δ ϕ}{t}) \Rightarrow 22 = N (\frac{0.2 π}{2})$

$\Rightarrow N = 70$

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