1. There are 20 turns in the armature of a coil having 0.127m^2 area. How fast it should be rotated in a uniform
magnetic field of 0.2 Wb/m2 so that emf induced is 160
volt?
Answers
Explanation:
the answer is 50 rps
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d) Non Striated Muscle, involuntary muscle
The armature of the coil should be rotated 315 rad/sec or 50 rps so that the peak value of e.m.f induced in it is 160 volt.
Given:
E(t) = 160V
B = 0.2 Wb/m²
A = 0.127m²
N = 20 turns
To Find:
The frequency for rotating the armature of a coil so that induced emf would be 160V.
Solution:
We know that,
E = E₀sin(wt) where, E₀ = BAWN
In peak the value of sin(wt) = 1. Therefore, to find the angular frequency the values of B,A,N,and E are substituted which is given by,
160 = 0.2 x 0.127 x 20 x N x 1
160 = 0.508 N
N = 160/0.508
N = 314.9606 rad/s
N = 315 rad/s (approx)
We know that,
2π/60 = 1rps
1 rad/s = 0.159 rps
Therefore, for 315 rad/s the rps is given by
=315x0.159 rps
= 50 rps
Therefore, the armature of the coil should rotate 315rad/s or 50 rps so that induce emf of 160V could be produced.
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