Problem 1 3. 2 Determine the inductance of

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problem_solution-magnetically_coupled_circuits.ppt

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 Problem 1 3. 2 Determine the inductance of the three series-connected inductors. Consider the polarities Problem 1 3. 2 Determine the inductance of the three series-connected inductors. Consider the polarities of the coupled inductances. M 12 is series adding while M 23 and M 31 are series opposing . L = L 1 + L 2 + L 3 + 2 M 12 – 2 M 23 – 2 M 31 = 10 + 12 +8 + 2 x 6 – 2 x 4 = 22 H

 Problem 1 3. 9 Find V x in the network shown. Problem 1 3. 9 Find V x in the network shown.

 Problem 1 3. 21 Find I 1 and I 2 in the circuit. 13. 90. Problem 1 3. 21 Find I 1 and I 2 in the circuit. 13. 90. Calculate the power absorbed by the 4 — resistor.

 Problem 1 3. 22 Find current I o in the circuit. With more complex mutually Problem 1 3. 22 Find current I o in the circuit. With more complex mutually coupled circuits, it may be easier to show the effects of the coupling as sources in terms of currents that enter or leave the dot side of the coil. The Figure then becomes,

 Problem 1 3. 22 Find current I o in the circuit. Problem 1 3. 22 Find current I o in the circuit.

 Problem 1 3. 28  find the value of X that will give maximum power Problem 1 3. 28 find the value of X that will give maximum power transfer to the 20 — load.

I 3 I