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Exam (elaborations)

For the circuit below, calculate the power absorbed by each source,

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  • HBO Small Business en Ondernemerschap
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  • HBO Small Business En Ondernemerschap

For the circuit below, calculate the power absorbed by each source, and verify that the powers add to zero. Solution Power absorbed by 3A source: since this source is in parallel with the 10V source, and the current flows into the negative terminal, P = 3A * 10V = 30W Power absorbe...

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  • June 27, 2023
  • 1
  • 2022/2023
  • Exam (elaborations)
  • Questions & answers

Subjects

  • for circuit
  • circuit below
  • below calculate
  • calculate power
  • power absorbed
  • absorbed by
  • by each
  • each source

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  • HBO Small Business en Ondernemerschap
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For the circuit below, calculate the power absorbed by each source, and verify that the powers
add to zero.


Solution


Power absorbed by 3A source:
since this source is in parallel with the 10V source, and the current flows into the negative
terminal, P = 3A * 10V = 30W


Power absorbed by -4A source:
since this source is in parallel with the 10V source, and the current flows into the positive
terminal, P = -(-4A * 10V) = 40W


Power absorbed by 2A source:
split this one into two, considering both voltage sources:
current flows into positive terminal of 10V source, so P = -(2A * 10V) = -20W
current flows into negative terminal of 8V source, so P = 2A * 8V = 16W
total power absorbed is P = -20W + 16W = -4W


Power absorbed by 8V source:
since this source is in series with 2A source, and the 2A flows into the negative terminal, P = -
(2A * 8V) = -16W


Power absorbed by 10V source:
split this one into two, considering two current sources:
3A current source flows into negative terminal, so P = -(3A * 10V) = -30W
The other current flowing into this source can be found by applying KCL on the node that
connects the 2A and -4A source. Since there is 2A + (-4A) = -2A flowing into that node, there
must be -2A flowing out of that node and into the positive terminal of the 10V source. Therefore,
P = -2A * 10V = -20W
total power absorbed is P = -30W + (-20W) = -50W


Add the power absorbed by all sources:


30W + 40W + (-4W) + (-16W) + (-50W) = 30W + 40W - 4W - 16W - 50W = 0

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