DC Electric Circuits
Kirchhoff’s Laws
48 questions By Tony R. Kuphaldt
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Question 16 of 48
Determine the voltages registered by a voltmeter between the following points in this circuit:

VA = (red lead on A, black lead on ground)
VB = (red lead on B, black lead on ground)
VC = (red lead on C, black lead on ground)
VD = (red lead on D, black lead on ground)
VAC = (red lead on A, black lead on C)
VDB = (red lead on D, black lead on B)
VBA = (red lead on B, black lead on A)
VBC = (red lead on B, black lead on C)
VCD = (red lead on C, black lead on D)
Reveal answerVA = 12 volts (red lead on A, black lead on ground)
VB = -9 volts (red lead on B, black lead on ground)
VC = 4.5 volts (red lead on C, black lead on ground)
VD = -24 volts (red lead on D, black lead on ground)
VAC = 7.5 volts (red lead on A, black lead on C)
VDB = -15 volts (red lead on D, black lead on B)
VBA = -21 volts (red lead on B, black lead on A)
VBC = -13.5 volts (red lead on B, black lead on C)
VCD = 28.5 volts (red lead on C, black lead on D)
Notes:Discuss with your students multiple techniques of solving for these voltages, asking them first for their solution strategies.
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Question 17 of 48
Determine the voltages registered by a voltmeter between the following points in this circuit:

VA = (red lead on A, black lead on ground)
VB = (red lead on B, black lead on ground)
VC = (red lead on C, black lead on ground)
VD = (red lead on D, black lead on ground)
VAC = (red lead on A, black lead on C)
VDB = (red lead on D, black lead on B)
VBA = (red lead on B, black lead on A)
VBC = (red lead on B, black lead on C)
VCD = (red lead on C, black lead on D)
Reveal answerVA = 20 volts (red lead on A, black lead on ground)
VB = 5 volts (red lead on B, black lead on ground)
VC = -11 volts (red lead on C, black lead on ground)
VD = -8 volts (red lead on D, black lead on ground)
VAC = 31 volts (red lead on A, black lead on C)
VDB = -13 volts (red lead on D, black lead on B)
VBA = -15 volts (red lead on B, black lead on A)
VBC = 16 volts (red lead on B, black lead on C)
VCD = -3 volts (red lead on C, black lead on D)
Notes:Discuss with your students multiple techniques of solving for these voltages, asking them first for their solution strategies.
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Question 18 of 48
Determine the voltages registered by a voltmeter between the following points in this circuit:

VA = (red lead on A, black lead on ground)
VB = (red lead on B, black lead on ground)
VC = (red lead on C, black lead on ground)
VD = (red lead on D, black lead on ground)
VAC = (red lead on A, black lead on C)
VDB = (red lead on D, black lead on B)
VBA = (red lead on B, black lead on A)
VBC = (red lead on B, black lead on C)
VCD = (red lead on C, black lead on D)
Reveal answerVA = -21 volts (red lead on A, black lead on ground)
VB = 12 volts (red lead on B, black lead on ground)
VC = -4 volts (red lead on C, black lead on ground)
VD = 9 volts (red lead on D, black lead on ground)
VAC = -17 volts (red lead on A, black lead on C)
VDB = -3 volts (red lead on D, black lead on B)
VBA = 33 volts (red lead on B, black lead on A)
VBC = 16 volts (red lead on B, black lead on C)
VCD = -13 volts (red lead on C, black lead on D)
Notes:Discuss with your students multiple techniques of solving for these voltages, asking them first for their solution strategies.



I think there is a mistake in question 28 more specifically step 3 and 4. I think their answers are switched. Step 3 should be 12 and Step 4 should be -24
In the notes for question 4, the diagram should have a 47k resistor, not 4.7k.