Measured Data: Kirchhoff\'s Laws - Voltage and Current in Circuits The voltage a

Question

Measured Data: Kirchhoff's Laws - Voltage and Current in Circuits
The voltage across and the current through each resistor are shown in the schematic diagrams below.

Table 1

R1 = 10

R2 = 4.7

R3 = 33

R4 = 4.7

R5 = 10

Rtotal

Questions

Using the schematic of the circuit, calculate the total resistance of the circuit.

Based on the theoretical value of R3 and the voltage measured at R3, calculate the theoretical value of the current I3 using Ohm's Law.

Explanation / Answer

1. Total resistance of the circuit:

R1 and R2 are in parallel,

Req1 = 1÷[(1/R1)+(1/R2)] = 1÷[(1/10)+(1/4.7)] = 3.197 ohm

R4 and R5 are in parallel,

Req2 = 1÷[(1/R4)+(1/R5)] = 1÷[(1/4.7)+(1/10)]= 3.197 ohm

Now Req1, R3 and Req2 are in series

So , total resistance :

R = 3.197 + 33+3.197 = 39.39 ohm

2.Theoritical value of I3:

I3 = v3/R3 = 1.289 v/33 ohm = 0.039 A

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