bicycle generator rotates at 1800 rad/s, producing an 18.0 V peak emf. It has a 1.00 cm by 3.00 cm rectangular coil in a 0.794 T field. (a) How many turns are in the coil?

Respuesta :

Answer:

N = 42

Explanation:

Given that,

Angular velocity, [tex]\omega=1800\ rad/s[/tex]

Peak emf, [tex]\epsilon=18\ V[/tex]

The dimensions of the rectangular coil = 1.00 cm by 3.00 cm

Magnetic field, B = 0.794 T

We know that, the emf of the coil is given by :

[tex]\epsilon=NAB\omega[/tex]

Where

N is number of turns in the coil

So,

[tex]N=\dfrac{\epsilon}{AB\omega}\\\\N=\dfrac{18}{0.01\times 0.03\times 0.794\times 1800}\\\\N=41.98[/tex]

or

N = 42

So, there are 42 turns in the coil.