How many arbitrary currents are needed to solve for the currents in a circuit?

In summary, when solving for unknown currents in single or multi-loop circuits, it is recommended to assign each branch its own current. These currents are not all independent, as they are related by Kirchhoff's law. The key to solving circuit analysis problems is to remember the relationships between voltage, current, and components, as well as Kirchhoff's laws. By keeping these in mind, you can successfully solve any circuit problem.
  • #1
mmg0789
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Homework Statement



I just had a general question for solving for an unknown current(s) in single or multi-loops circuits. How exactly do we know how many arbitrary currents we need to define for solving the for the currents in the circuit? do we define a current for each loop that is present? for each voltage source? this always confuses me when I'm solving problems like these. any help is appreciated.

thanks
 
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  • #2
You won't go wrong if you first assign each branch its own current. Those currents are not all independent, as they are related by Kirchhoff's law.
 
  • #3
Doc Al said:
You won't go wrong if you first assign each branch its own current. Those currents are not all independent, as they are related by Kirchhoff's law.

Al is right. Concentrate not on how many currents you worry about, but rather the fact that every circuit analysis problem you get is based on:
(a) V=IR for various components
(b) Kirchoff 1: the total voltage is equal to the sum of the voltages of each component in sequence. (V_T = V_1 + V_2 + ... + V_n)
(c) Kirchoff 2: the total current entering a junction is precisely equal to the total current exiting a junction. (I_in =I_out)

Then brace for epic win on your next circuits problem:grin:
 
  • #4
Or maybe (a) V=IZ, depending on your level.
 

1. What is current in a circuit?

Current in a circuit is the flow of electric charge, typically measured in amperes (A). It is the movement of electrons through a conductor, such as a wire, and is necessary for electricity to power devices.

2. How is current defined in a circuit?

Current is defined as the rate of flow of electric charge, typically measured in amperes (A). It is calculated by dividing the amount of charge that passes through a particular point in a circuit by the time it takes for that charge to pass.

3. What is the difference between AC and DC current?

AC (alternating current) and DC (direct current) are two types of current commonly found in circuits. AC is characterized by the periodic reversal of direction of current flow, while DC flows in one direction only. AC is used for long-distance power transmission, while DC is used for smaller electronic devices.

4. How does current affect the components in a circuit?

Current affects the components in a circuit by providing the necessary energy for them to function. Too much or too little current can damage components or prevent them from working properly. The resistance of a component also affects the amount of current that can flow through it.

5. How can current be controlled in a circuit?

Current can be controlled in a circuit by using devices such as resistors, which limit the flow of current, or by adjusting the voltage of the power source. Switches can also be used to open or close a circuit, controlling the flow of current. Additionally, the design and arrangement of components in a circuit can affect the amount of current that flows through it.

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