Kirchhoff\'s rules can be applied to any circuit, but can be confusing for certa

Question

Kirchhoff's rules can be applied to any circuit, but can be confusing for certain circuits. Consider the following example... What is the current flowing in the 200 ohm resistor? What would be the current in the 200 ohm resistor if you reversed the polarity of battery A? a. b. 9 V 100 o 200 ohms 300 ohms ec 746 400 ohms 9 vlc D19 V a.) For part a of the question, I will guess the currents have the direction as shown above. Clearly, they can't all enter the central node. At least one of them has to leave. But my guess is okay, because it just means that one or more of these currents will be negative. (Equation 1) Kirchhoff's Current Rule: 00 1200 +130014000 I will trace out looped paths around each branch of the circuit as shown. Kirchhoff's Voltage Rule: Loop A Loop B: Loop C: -91,-(1000)1100 + (200)/200-0 +w-(300)1300 + (1000)1100-0 +9V-(2000)1200 + (400)1400-0 (Equation 2) Equation 3) (Equation 4)

Explanation / Answer

If we flip the batteries, both the batteries will be opposing each other , and since they are of same voltage, the net effect of them will be null. as they cancel out each others voltage. this makes the equations have no solutions. as no curent is flowing in the circuit.

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