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Worksheet: Kirchoff's Current Law

<^< Examples: Kirchoff's Current Law | Course Index | Kirchoff's Voltage Law >^>(:nl:)

Objective: To investigate Kirchhoff's Current Law.
Underpinning knowledge: Voltage, current and resistance. Ohm's Law. Kirchhoff's Current Law.
Apparatus: TINA circuit file, or apparatus to make the following circuit.

TINA Circuit File: Click here to download circuit file
Initial Settings: 8V and 12V batteries. R'_1_' = 1k&#937;, R'_2_' = 2k&#937;, R'_3_' = 3k&#937;.
Requires: Paper, Linear graph paper, pen or pencil.
Instructions:

(a) Using initial settings verify that I'_1_' - I'_2_' + I'_3_' = 0 (or, more conveniently, that I'_1_' + I'_3_' = I'_2_').

(b) Change R'_1_' to 3k&#937;, R'_2_' to 1k&#937; and R'_3_' to 2k&#937;. Confirm, once again that I'_1_' - I'_2_' + I'_3_' = 0.

(c) Finally, make R'_1_' to 2k&#937;, R'_2_' to 3k&#937; and R'_3_' to 1k&#937;. Once again, confirm that I'_1_' - I'_2_' + I'_3_' = 0.

Observations:

(a) Is Kirchhoff's Current Law obeyed?

(b) The convention adopted in the formula, I'_1_' - I'_2_' + I'_3_' = 0, is that current flowing towards the junction is positive whilst current flowing away is negative. How is it possible to determine the direction of current in the circuit?

Further work:

Add a further battery of 10V and a fourth resistor of 4k&#937; in series with an ammeter connected to the junction in the circuit. Derive the Kirchhoff's Current Law equation for this new circuit (you will have to consider four currents in the circuit; I'_1_', I'_2_', I'_3_' and I'_4_') and confirm that the Current Law is obeyed by inserting measured values into the equation

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