Table of result :
SOURCE E1 (volt) | SOURCE E2 (volt) | RESISTOR R1 (ohms) | RESISTOR R2 (ohms) | RESISTOR R3 (ohms) |
24V | 24V | 1kΩ | 1kΩ | 1.5kΩ |
AMMETER | |||||
MEASURED VALUES | CALCULATED VALUES | ||||
METER A1 (amperes) | METER A2 (amperes) | METER A3 (amperes) | METER A1 (amperes) | METER A2 (amperes) | METER A3 (amperes) |
10.5mA | -1.5mA | 9mA | 10.5mA | -1.5mA | 9mA |
Calculation :
E1 - E2 = I1r1 – I2r2
24 – 12 = 1000I1 – 1000I2
1000I1 – 1000I2 = 12 ------------------ (1) ×3
E2 = I2r2 + ( I1 + I2 ) R3
12 = 1000r2 + 1500I1 + 1500I2
1500I1 + 2500I2 = 12 ----------------- (2) ×2
3000I1 – 3000I2 = 36----------------- (3)
3000I1 + 5000I2 = 24----------------- (4)
(3) – (4)
-8000I2 = 12
I2 = -1.5mA
Substitute I2 = -1.5mA into (1)
1000I1 – 1000 ( -1.5×10ˉ ³ ) = 12
1000I1 + 1.5 = 12
1000I1 = 10.5
I1 = 10.5mA
I1+I2 = 9mA
I1 = A1 I2 = A2 I1 + I2 = A3
= 10.5mA = -1.5mA = 9mA
Analysis, deduction and conclusion :
(a) Has Kirchhoff´s current law been verified?
What facts determined from the results of this test support this decision?
Yes, because according to kirchhoff´s current law, at any junction in an electric
circuit the total current flowing towards that junction is equal to the total current
flowing away from the junction.
From the test : I1 + I2 = I3 : 10.5m + (-1.5m) = 9mA
(b) Do the test results compare favourably with those calculated? What could be some of the causes for the discrepancies?
The test result favourably with those calculated, but if not it maybe because of
electrical loading which is disruption of instrument in the circuit, limiting of
resolution or accuracy of the meter, or carelessness and inexperienced user.
(c) Are there any circuit configuration for which Kirchhoff´s two laws are not
applicable? Substantiate your answer.
Kirchhoff´s voltage law only can being applied on series circuit and not parallel,
while kirchhoff´s current law can only being applied on parallel but not series. Th
the circuit that cannot used superposition theorem is series and parallel network.
(d) For what type of circuit configuration would it be prudent not to apply kirchhoff´
Law.
Series and parallel network