The electric and magnetic field ( emf ) generated given the number of loops in the solenoid is 9.90 V.
Given the data in the question;
- [tex]\delta \theta_1 = 6.78*10^{-4}Wb[/tex]
- [tex]\delta \theta_2 = 1.33*10^{-4}Wb[/tex]
- [tex]\delta t = 0.0333s[/tex]
Electric and magnetic fields (EMF)
Emf are invisible energy regions also called radiation, associated with the use of electrical power and various forms of lighting.
From Faraday's law; emf E is expressed as;
[tex]emf = -N\frac{\delta \theta }{\delta t}[/tex]
Where N is number of loops, [tex]\delta \theta[/tex] is change in magnetic flux ( [tex]\delta \theta_2 - \delta \theta_1[/tex] ) and [tex]\delta t[/tex] is change in time.
First we determine the change in flux through each loop;
[tex]\delta \theta[/tex] = ( [tex]\delta \theta_2 - \delta \theta_1[/tex] )
[tex]\delta \theta = (1.33 * 10^{-4} Wb) - (6.78 * 10^{-4} Wb)\\\\\delta \theta = -0.000545[/tex]
Now, we substitute our values into the expression above
[tex]emf = -N\frac{\delta\theta}{\delta t} \\\\emf = (-605) * (\frac{-0.000545}{0.0333}) \\\\emf = (-605) * (-0.016366)\\\\emf = 9.90V[/tex]
Therefore, the electric and magnetic field ( emf ) generated given the number of loops in the solenoid is 9.90 V.
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