Make a table listing the power for each element of the cir- cuit. Indicate in the table whether each element is absorb- ing or supplying power. Clearly show all your calculations. (a) Determine the total power absorbed by elements of the circuit. (b) Determine the total power supplied by elements of the circuit.

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Use the method of mesh-current analysis to determine the correct mesh currents

Show all your calculations. Then, make a neat table listing the current, voltage, and power for each element of the circuit, and indicate whether each element is absorbing or supplying power. Verify that power is conserved.

Tabulate the power in each element.
element
current
voltage
absorb or supply
power
1 kN
20 mA right
20 V left +
0.40 W
absorbing
middle 2 kN
20 mA right
40 V left +
0.80 W
absorbing
absorbing
30 V right +
20 V right +
bottom 2 k2
15 mA left
0.45 W
4 kN
5 mA left
0.10 W
absorbing
absorbing
supplying
15 mA down
40 V top +
90 V top +
40 V source
0.60 W
90 V source
40 mA up
-3.60 W
2.5v source
25 mA down
50 V* bottom +
-1.25 W*
supplying
total power:
-2.50 W
*Values may vary because the given mesh currents are incorrect.
Power is not conserved, so the given mesh currents must be incorrect. Note that because the given
currents are incorrect, the voltage and power for the 2.5 v, dependent source are not unique but
they depend on how you calculate the voltage across that source.
Indicate correct units and correct powers of ten.
Transcribed Image Text:Tabulate the power in each element. element current voltage absorb or supply power 1 kN 20 mA right 20 V left + 0.40 W absorbing middle 2 kN 20 mA right 40 V left + 0.80 W absorbing absorbing 30 V right + 20 V right + bottom 2 k2 15 mA left 0.45 W 4 kN 5 mA left 0.10 W absorbing absorbing supplying 15 mA down 40 V top + 90 V top + 40 V source 0.60 W 90 V source 40 mA up -3.60 W 2.5v source 25 mA down 50 V* bottom + -1.25 W* supplying total power: -2.50 W *Values may vary because the given mesh currents are incorrect. Power is not conserved, so the given mesh currents must be incorrect. Note that because the given currents are incorrect, the voltage and power for the 2.5 v, dependent source are not unique but they depend on how you calculate the voltage across that source. Indicate correct units and correct powers of ten.
A mesh-current analysis of the circuit
1 kN
shown has found i, = 20 mA, i, = 40 mA, and iz = 15 mA.
Vr +
Assuming these mesh currents are correct, calculate the
power absorbed or supplied by each element of the circuit,
and try to verify that energy is conserved.
i1
4 kN
2 kN
Make a table listing the power for each element of the cir-
2.5vx/
cuit. Indicate in the table whether each element is absorb-
90 V
13
40 V
ing or supplying power. Clearly show all your calculations.
(a) Determine the total power absorbed by elements of
2 kN
the circuit.
(b) Determine the total power supplied by elements of the
circuit.
Transcribed Image Text:A mesh-current analysis of the circuit 1 kN shown has found i, = 20 mA, i, = 40 mA, and iz = 15 mA. Vr + Assuming these mesh currents are correct, calculate the power absorbed or supplied by each element of the circuit, and try to verify that energy is conserved. i1 4 kN 2 kN Make a table listing the power for each element of the cir- 2.5vx/ cuit. Indicate in the table whether each element is absorb- 90 V 13 40 V ing or supplying power. Clearly show all your calculations. (a) Determine the total power absorbed by elements of 2 kN the circuit. (b) Determine the total power supplied by elements of the circuit.
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