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QuantumRose
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- Homework Statement
- I found a difficulty solving the following question using Kirchhoff's rules.
- Relevant Equations
- Kirchhoff's rules.
Correct. The solution is: There is no solution.QuantumRose said:Problem Statement: I found a difficulty solving the following question using Kirchhoff's rules.
Relevant Equations: Kirchhoff's rules.
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That's the thing that bothers me a lot. What is the physical reality that corresponds to no solution? does that mean no current anywhere or what?SammyS said:Correct. The solution is: There is no solution.
To confirm this"
Taking the "outer" loop, in a clockwise direction (The loop containing only the 10V and 5V sources.) gives you:
10V − 5V = 0.
That's a contradiction.
No. It's a physically impossible situation if those are "ideal" sources of voltage. ##I_1 \to \infty## and ##I_3 \to -\infty## .QuantumRose said:That's the thing that bothers me a lot. What is the physical reality that corresponds to no solution? does that mean no current anywhere or what?
Thank you!SammyS said:No. It's a physically impossible situation if those are "ideal" sources of voltage. ##I_1 \to \infty## and ##I_3 \to -\infty## .
It's much like a short circuit.
This clears my mind, thank youcnh1995 said:This is one of the invalid connections in circuit theory. You can't connect two unequal ideal voltage sources in parallel and two unequal ideal current sources in series.
Kirchhoff's rule, also known as Kirchhoff's voltage law, states that the sum of all voltages around a closed loop in a circuit must equal zero. This means that in a circuit with two batteries, the total voltage supplied by one battery must be equal to the total voltage supplied by the other battery.
To apply Kirchhoff's rule to a circuit with two batteries, you must first determine the direction of current flow in the circuit. Then, as you move around the circuit in a loop, you must take into account the polarity of each battery and whether the current is flowing towards or away from the battery. The sum of all voltages in the loop should equal zero.
Kirchhoff's rule is important in circuit analysis because it allows us to calculate the voltage and current at any point in a circuit. It also helps us understand how different components in a circuit affect each other and how the overall circuit operates.
Yes, Kirchhoff's rule can be applied to circuits with any number of batteries. The same principle applies - the sum of all voltages around a closed loop must equal zero.
One limitation of Kirchhoff's rule in circuits with two batteries is that it assumes ideal conditions, such as no resistance in wires and batteries with no internal resistance. In real circuits, there will always be some resistance and internal resistance, so the voltage may not be exactly zero when applying Kirchhoff's rule.