Hey guys i was reviewing past papers in anticipation for my exam next saturday and i am stumped on a question, even reading the solution is confusing me as i dont think that we have ever really covered mutual inductance:
(b)
Consider two coils wound around plastic coil former, of 100 turns and 200 turns respectively. The two coils are magnetically-coupled, because 80% of the flux produced by one coil links the other coil. If the first coil is suddenly connected to a DC supply and its current rises linearly at a rate of 100 A/s and the self-induced e.m.f is 5 volts, then:
(i) What is L, the self-inductance of the first coil?
(ii) Find the mutually-induced e.m.f in the second coil.
(iii) Determine the mutual inductance between the two coils.
(iv) Determine the self inductance of the second coil.
[8 marks]
The only parts that i need help with are parts III and IV.
I can get part III but am not entirely sure what it is or how to describe it. Is M: mutual inductance a measure of the second coils ability ... to induce a voltage to the first coil? How is the inducance of the second inductor found then?
I know the formula for the inductance depending on the number of terms, the conductivity of the material its wrapped around, the area and the axial length. But i dont know how to apply the mutual conductance to solve this problem, nor do i fully understand it either, I have already looked this up in google and cant seem to find anything which helps me out.
Cheers Guys!
(b)
Consider two coils wound around plastic coil former, of 100 turns and 200 turns respectively. The two coils are magnetically-coupled, because 80% of the flux produced by one coil links the other coil. If the first coil is suddenly connected to a DC supply and its current rises linearly at a rate of 100 A/s and the self-induced e.m.f is 5 volts, then:
(i) What is L, the self-inductance of the first coil?
(ii) Find the mutually-induced e.m.f in the second coil.
(iii) Determine the mutual inductance between the two coils.
(iv) Determine the self inductance of the second coil.
[8 marks]
The only parts that i need help with are parts III and IV.
I can get part III but am not entirely sure what it is or how to describe it. Is M: mutual inductance a measure of the second coils ability ... to induce a voltage to the first coil? How is the inducance of the second inductor found then?
I know the formula for the inductance depending on the number of terms, the conductivity of the material its wrapped around, the area and the axial length. But i dont know how to apply the mutual conductance to solve this problem, nor do i fully understand it either, I have already looked this up in google and cant seem to find anything which helps me out.
Cheers Guys!