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 V. B A V3 Voltage, A B1.553 V Current, Point A 0.040 A Current, Point B0.040 A Table 1 Resistor Voltage (V) Current (A) R1-10 R2 = 4.7 R3 = 33 Ra = 4.7 | Rs = 10 Rtotal 0.125 0.125 1.303 0.125 0.125 1.553 0.012 0.028 0.040 0.028 0.012 0.040 Questions Using the schematic of the circuit, calculate the total resistance of the circuit. eq Based on the theoretical value of R3 and the voltage measured at R3, calculate the theoretical value of the current l3 using Ohm's Law theoretical-

Explanation / Answer

we know that resistances in series are added algebriacally where resistances in parallel are added in inverse addition

hence
from the diagram we can see
Reff = (1/R1 + 1/R2)^-1 + (1/R4 + 1/R5)^-1 + R3

now given
R1 = 10 ohm
R2 = 4.7 ohm
R3 = 33 ohm
R4 = 4.7 ohm
R5 = 10 ohm

hence
Reff = 39.3945578 ohms

now R3 theoretical value Re = 33 ohms
from ohms law theoretica; value of current I3 = I3
from ohms law
V = I3*Reff
V = 1.553 V
hence
I3 = 0.0394 A

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