1. Given the series and parallel circuit in Figure 3.1 , calculate the total equ
ID: 1813095 • Letter: 1
Question
1. Given the series and parallel circuit in Figure 3.1, calculate the total equivalent resistance RT of the circuit. RT = _______
1. Using a calculator, predict and record the following:
I1
A
I2
A
I3
A
IT
A
3. Add the values from Step 2 together:
I1 + I2 + I3 = _______A (DC)
4. Is the sum from Step 3 equal to IT evaluated in Step 2? _________ (YES or NO)
Explain why your answer is what it is.
5. Calculate the following voltages for this circuit:
VR1
V
VR2
V
VR3
V
6. Add the values from Step 5 together:
VR1 + VR2 + VR3 = _______V (DC)
7. Is the sum from Step 6 equal to Vs? _________ (YES or NO)
Explain why your answer is what it is.
8. Did you prove Kirchhoff%u2019s Voltage Law to be true for the series-parallel circuit?
9. Explain how you proved Kirchhoff%u2019s Voltage Law.
10. Did you prove Kirchhoff%u2019s Current Law to be true for the series-parallel circuit?
11. Explain how you proved Kirchhoff%u2019s Current Law.
12. How much power did this circuit dissipate?
I1
A
I2
A
I3
A
IT
A
Explanation / Answer
1. Rt = 397.77 ohms
2. I = 0.025 A
I1 = 0.0083 A
I2 = 0.0084 A
I3 = 0.0084 A
3. 0.025 A
4. Yes. The current is getting devided in three branches depending upon the resistance, so summing all the individual currents we are getting the total current. This is the KCL in a particular node.
5. Vr1 = 2.773
Vr2 = 3.278
Vr3 = 3.949
6. 10
7. Yes. Because total potential drop is equal to the sum of the potential drop at each resister.
8. Yes
9. In Parallel case the voltage drop is equal to 10 for all the branches and in one branch the sum of the voltage drop is equal to 10 in each of the individual loops.
10.Yes
11.At one node the sum of the individual current is equal to the total current. we have done that in question 2 and 3.
12. I^2*R = 0.2486 joules
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