Can anyone (or everyone) help me figure out why my values for % Difference Volta
ID: 1446904 • Letter: C
Question
Can anyone (or everyone) help me figure out why my values for % Difference Voltage Drops are so high? I don't understand what is wrong.
This is for resistors in series. More information is provided below the table.
Terminal Voltage Vt = 1.55V
Total Theoretical Current = Vtotal / Req = 0.0107A = 10.7mA
measured current I'i (mA) measured voltage drop V'i (V) Theoretical Voltage Drop Vi (V) % Difference Voltage drop R1 9.80 0.98 0.11 159.6% R2 9.79 0.33 0.36 8.7% R3 9.81 0.097 1.07 166.7% Total Voltage Drop ****************** 1.407 1.54 9.03%Explanation / Answer
I think I can give you some suggestions.
Your calculations are well in general
* You found the equivalent resistance and with this meet the circuit current is Constant for being a serial circuit.
1 posibilility
Let me do the math considering the internal resistance of the source
Req = R1 +R2+R3 + Ri
Req = 144.5 + Ri
V = I Req
I will use the average of current measurements
Ipro= (9.80 +9.79 +9.81)/3
Ipro= 9.80 mA
Ipro= 0.00980 A
With the terminal voltage and the measured current calculate the internal resistance of the source
V = IproReq
Req= V /Ipro
Req = 1.55/0.00980
Req = 158.16
144.5 +Ri = 158.16
Ri = 158.16 - 144.5
Ri= 13.66
2 Posibilidad
There is a hidden voltage drop at the source, to calculate subtract the terminal voltage and total voltage
Vi = 1.55 – 1.407
Vi = 0.143 V
We calculate the current with this lower voltage
V = I Req
I =V/ Req
I = 1.407 / 144.5
I= 0.009737 A
I= 9.737 mA
We can see that the current calculated with the two possibilities are very similar, so we will calculate the voltages with this new current
V1 = I R1
V1 = 0.009737 10.7
V1 = 0.104 V
% Dif = (V1 -Vm)/Vm 100
% dif = (0.104 – 0.98)/0.98 100
% Dif = 89%
V2 = 0.009737 33.8
V2 = 0.329 V
% Dif = (V2 -Vm)/Vm 100
% dif = (0.329 – 0.33)/0.33 100
% Dif = 0.27%
V3= i R3
V3 = 0.009737 100
V3 = 0.9737 V
% Dif = (V1 -Vm)/Vm 100
% dif = (0.9737 – 0.097)/0.097 100
% Dif = 900%
We see that the difference between the values except for R2 is very high
3 Possibility
There is an error on the labels of resistance
Values that have been
R1 = 100
R2 = 33.8
R3 = 10.7
Again, we should assume an internal source resistance to give the current
Ri = 13.66
with these values we will calculate the voltages
V1 = 0.009737 100
V1 = 0.9737 V
%Dif = 0.6%
V2 = 0.009737 * 33.8
V2 = 0.329 V
%Dif = 0,3%
V3 = 0.009737 * 10.7
V3 = 0,1042
%Dif = 7.4%
These errors are small,
Result:
After this analysis I think there are two things in the circuit:
1) the existence of an internal source resistance of the order of Ri = 13.66
2) An error in the label of resistance, R1 and R3 are exchanged
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