Answer:
11405Volt
Explanation:
To solve this problem it is necessary to use the concept related to induced voltage or electromotive force measured in volts. Through this force it is possible to maintain a potential difference between two points in an open circuit or to produce an electric current in a closed circuit.
The equation that allows the calculation of this voltage is given by,
[tex]\epsilon = BAN \omega[/tex]
Where
B = Magnetic field
A= Area
N = Number of loops
[tex]\omega[/tex]= Angular velocity
Our values previously given are:
[tex]N = 140[/tex]
[tex]A = 71.2*10^{-2}m*22.6*10^{-2}m=0.1609m^2[/tex]
[tex]B = 4.32 T[/tex]
[tex]\omega = 1120 rev / min[/tex]
We need convert the angular velocity to international system, then
[tex]\omega = 1120 rev/min[/tex]
[tex]\omega = 1120rev/min*\frac{2\pi}{1rev}*\frac{1min}{60sec}[/tex]
[tex]\omega = 117.2rad/s[/tex]
Applying the equation for emf, we replace the values and we will obtain the value.
[tex]\epsilon = BAN \omega[/tex]
[tex]\epsilon = (4.32)(0.1609)(140)*117.2[/tex]
[tex]\epsilon = 11405Volt[/tex]
