You're an electrical engineer designing an alternator (the generator that charges a car's battery). Mechanical engineers specify a 10-cm-diameter rotating coil, and you determine that you can fit 250 turns in this coil. To charge a 12-V battery, you need a peak output of 14 V when the alternator is rotating at 1900 rpm. What do you specify for the alternator's magnetic field?

Respuesta :

Answer:

The alternator's magnetic field is 0.036 T

Explanation:

The area of the rotating coil is equal:

[tex]A=\frac{\pi d^{2} }{4}[/tex]

Where

d = 10 cm = 0.1 m

[tex]A=\frac{\pi 0.1^{2} }{4} =0.0079m^{2}[/tex]

The angular frequency is:

w = 1900 rpm = 198.97 rad/s

The emf is equal:

[tex]B=\frac{E}{NAw}[/tex]

Where

E = 14 V

N = 250 turns

[tex]B=\frac{14}{250*0.0079*198.97} =0.036T[/tex]