- #1
peroAlex
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I am a student of electrical engineering. This task appears in our textbook. However, there were no solutions provided. I tried understanding the task but got lost in the process. This is why I seek help here on this site. I would like to ask you for guidance and any sort of advice on how to solve this task.
1. Homework Statement
Given is a magnetic structure (check the attached png file). Primary winding has ## N_1 = 210 ##
and secondary winding has ## N_2 = 40 ##. Voltage source which drives the current ##i_1## is alternating (sketch is obviously wrongfully displaying DC voltage source) ## u(t) = 500 cos(300/s t) ##. Surface area of cross section is constant and equals ##S=0.004 m^2##. Air gap is ## \delta = 0.002 m ## wide.
Compute magnetic flux ##\Phi_2## and both currents ##i_1## and ##i_2##.
I assume that I need to implement Faraday's Law $$ EMF = -N \frac{d \Phi}{dt} $$ probably inductance $$ L = \frac{N \Phi}{I} $$ I sincerely hope I have mention edenough equations.
I began trying to compute flux and magnetic flux density from given information. If ##EMF = -N \frac{d \Phi}{dt} = NBS\omega sin(\omega t)## then ## B \cong 2.6455 T ##. Now that evidently leads to ##\Phi_1 = 0.00794 Wb##. No data for permittivity was given so I assume I need to continue with my computation using magnetic flux density.
From now on I'm lost. I would really appreciate at least some help or at least guidance. I will be happy with any sort of tips or pieces of advice given. Thank you in advance!
1. Homework Statement
Given is a magnetic structure (check the attached png file). Primary winding has ## N_1 = 210 ##
and secondary winding has ## N_2 = 40 ##. Voltage source which drives the current ##i_1## is alternating (sketch is obviously wrongfully displaying DC voltage source) ## u(t) = 500 cos(300/s t) ##. Surface area of cross section is constant and equals ##S=0.004 m^2##. Air gap is ## \delta = 0.002 m ## wide.
Compute magnetic flux ##\Phi_2## and both currents ##i_1## and ##i_2##.
Homework Equations
I assume that I need to implement Faraday's Law $$ EMF = -N \frac{d \Phi}{dt} $$ probably inductance $$ L = \frac{N \Phi}{I} $$ I sincerely hope I have mention edenough equations.
The Attempt at a Solution
I began trying to compute flux and magnetic flux density from given information. If ##EMF = -N \frac{d \Phi}{dt} = NBS\omega sin(\omega t)## then ## B \cong 2.6455 T ##. Now that evidently leads to ##\Phi_1 = 0.00794 Wb##. No data for permittivity was given so I assume I need to continue with my computation using magnetic flux density.
From now on I'm lost. I would really appreciate at least some help or at least guidance. I will be happy with any sort of tips or pieces of advice given. Thank you in advance!