Question

Calculate the maximum value of the e.m.f. generated in a coil which is rotating at 50 rev/s in a uniform
magnetic field of 0.8 Wb/m3
. The coil is wound on a square former having sides 5 cm in length and is wound
with 300 turns.

Answer 1

Question #81860

Calculate the maximum value of the e.m.f. generated in a coil which is rotating at 50 rev/s in a uniform magnetic field of $0.8\mathrm{Wb} / \mathrm{m}^3$. The coil is wound on a square former having sides 5 cm in length and is wound with 300 turns.

Answer:

The maximum value of the e.f.m. $E_{max}$ is given by

$$E _ {m a x} = B A N \omega ,$$

where $B = 0.8\mathrm{Wb / m}^3$ – flux density of the magnetic field,

$N = 300$ – number of the coil,

$A = 5 \times 5 \, \text{cm}^2 = 0.0025 \, \text{m}^2$ – the area of the coil,

$\omega = 50 \, \text{rev/s} = 100\pi \, \text{rad/s}$ – the rotational speed of the coil.

Substitute into (1):

$$E _ {m a x} = 0. 8 \cdot 0. 0 0 2 5 \cdot 3 0 0 \cdot 1 0 0 \pi = 1 8 8. 5 \, \text{V}.$$