My work:
I am trying this from hours by all method I am getting answer 1.5.But answer given is option (A).
Please help me whats the mistak I am doing?
Method 1
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\$\begingroup\$ You have done this correctly. Moral: Never trust answer keys always :D \$\endgroup\$– Mitu RajCommented Nov 6, 2017 at 17:59
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\$\begingroup\$ If I convert the resistances into conductances, and combine the 5 matrices (one for each resistor and one for the transformer), then I get a final matrix with the upper left corner value as A=.75, as a conductance value. Inverted into a resistance, this would be 1.333. (I do follow your approach. But since I'm not familiar with the terminology used in this area, I can't really help at this time.) \$\endgroup\$– jonkCommented Nov 6, 2017 at 21:59
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\$\begingroup\$ @jonk sir I am still getting 1.5 from other method also I did't get you approach. \$\endgroup\$– RohitCommented Nov 7, 2017 at 1:54
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\$\begingroup\$ @Rohit Agreed. I also completely agreed with your number, as well, and could see how you got it. \$\endgroup\$– jonkCommented Nov 7, 2017 at 4:33
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1 Answer
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If you reflect the secondary load (2 + 5 ohms) back into the primary it becomes 7/4. The current in the primary of the transformer is V1/(2 + 7/4) = V1/3.75. The current in the secondary is 1/2 of that or V1/7.5. V2 is just 5 times the secondary current or 5V1/7.5. If A = V1/V2, then A = 7.5/5 = 1.5. So you are correct and your book is in error.
