The magnetic field strength is needed to generate a peak voltage is 0.287 T.
The given parameters;
- diameter of the generator, d = 18 cm = 0.18
- number of turn, N = 120 turn
- frequency of the coil, f = 60 Hz
- maximum voltage in the coil emf = 330 V;
The maximum voltage in the coil is calculated as follows;
[tex]E_{max} = NAB\omega \\\\[/tex]
where;
- N is the number of turns
- A is the area of the coil
- B is the magnetic field strength
- ω is angular speed
The magnetic field strength is needed to generate a peak voltage is calculated as;
[tex]B = \frac{E_{max} }{NA \omega } \\\\B = \frac{E_{max} }{N (\frac{\pi d^2}{4} ) \times 2\pi f}\\\\ B = \frac{330}{120 \times (\frac{\pi \times 0.18^2}{4} ) \times 2\pi \times 60} \\\\B = 0.287 \ T[/tex]
Thus, the magnetic field strength is needed to generate a peak voltage is 0.287 T.
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