Mutual Inductance analysis circuit

ericgibbs

Joined Jan 29, 2010
21,442
Which problem circuit are you asking about, I thought that is was the circuit in post #20.?

I see a new circuit in post #22.?

E
 

t_n_k

Joined Mar 6, 2009
5,455
sir your solution different from book solution :confused:

thanks
I'll let you decide which is correct. I'm not changing my solution until convinced otherwise.

More importantly, when you ask about a new problem start a new thread. It becomes too difficult keeping track of what question among the several you are referring to.
 

The Electrician

Joined Oct 9, 2007
2,986
sir your solution different from book solution :confused:

thanks
The book's equation for mesh 1 doesn't include the effect of the mutual inductance on the I1 current. As you go around the mesh you encounter the j480 inductor; the voltage across that inductor includes the effect of I1 in the j720 inductor. As you continue going around the mesh, you encounter the j720 inductor; the voltage across that inductor includes the effect of I1 in the j480 inductor.

Together those two effects give you two (-j360 I1) terms in your mesh 1 equation. The effect of I1 in the mutual inductance must be taken into account twice.

Either the book forgot to take that into account at all, or they mistakenly gave a + sign to one occurrence and a - sign to the other occurrence which would cancel the terms. But, whatever their mistake, there should be an additional -j720 I1 added to the mesh 1 equation. The book solution is wrong.

Start a new thread for the problem you gave in post #20.
 

Thread Starter

full

Joined May 3, 2014
225
I'll let you decide which is correct. I'm not changing my solution until convinced otherwise.

More importantly, when you ask about a new problem start a new thread. It becomes too difficult keeping track of what question among the several you are referring to.
thanks sir I will do new thread
 

Thread Starter

full

Joined May 3, 2014
225
The book's equation for mesh 1 doesn't include the effect of the mutual inductance on the I1 current. As you go around the mesh you encounter the j480 inductor; the voltage across that inductor includes the effect of I1 in the j720 inductor. As you continue going around the mesh, you encounter the j720 inductor; the voltage across that inductor includes the effect of I1 in the j480 inductor.

Together those two effects give you two (-j360 I1) terms in your mesh 1 equation. The effect of I1 in the mutual inductance must be taken into account twice.

Either the book forgot to take that into account at all, or they mistakenly gave a + sign to one occurrence and a - sign to the other occurrence which would cancel the terms. But, whatever their mistake, there should be an additional -j720 I1 added to the mesh 1 equation. The book solution is wrong.

Start a new thread for the problem you gave in post #20.
thanks sir for help my in post #22 and I will do new thread
 
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