Porential across current source

In summary, the conversation is about a homework problem involving KCLs and KVLs. The person is confused about an expression involving a current divider and is wondering if it is valid for the given circuit. They are then advised to write Kirchoff's equations for the 3 loops in order to obtain the voltages on the terminals of R4 and R2, as well as the voltage on the source.
  • #1
Altairs
127
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Homework Statement


Title says it all. Question is attached.

Homework Equations



Simple KCLs, KVLs etc

The Attempt at a Solution



What I don't get is that isn't [tex]I_{R_{4}} = \frac{R_{3}}{R_{3}+R_{4}} * I1[/tex]
 

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  • #2
Altairs said:

Homework Statement


Title says it all. Question is attached.

Homework Equations



Simple KCLs, KVLs etc

The Attempt at a Solution



What I don't get is that isn't [tex]I_{R_{4}} = \frac{R_{3}}{R_{3}+R_{4}} * I1[/tex]

This expression is for a current divider. It would be valid if R3 and R4 were in parallel, which they are not.
Write Kirchoff's equations for the 3 loops to obtain the voltages on the terminals of R4 and R2. The voltage on the source is the difference between them.
 
  • #3
?

Yes, that is correct. The current through R4 is determined by the total resistance of R3 and R4, which is given by the equation R3/(R3+R4). This current is then multiplied by the current I1, which is the current source, to get the actual current through R4. This is known as the current divider rule and is commonly used in circuit analysis.
 

FAQ: Porential across current source

1. What is the definition of potential across current source?

The potential across current source refers to the difference in electric potential between two points in a circuit that are connected by a current source. It is typically measured in volts and represents the amount of work required to move a unit of electric charge from one point to another.

2. How is the potential across current source related to the current?

The potential across current source is directly proportional to the current flowing through it. This means that as the current increases, the potential across the current source also increases. Similarly, as the current decreases, the potential across the current source decreases.

3. Can the potential across current source ever be negative?

No, the potential across current source is always a positive value. This is because current sources always flow in the same direction and the potential difference is defined as the difference in potential between two points with respect to the direction of current flow.

4. How does a change in resistance affect the potential across current source?

A change in resistance will cause a change in the potential across current source. This is because according to Ohm's Law, the potential difference (V) is equal to the current (I) multiplied by the resistance (R). So, as the resistance increases, the potential across current source also increases.

5. What is the significance of the potential across current source in circuit analysis?

The potential across current source is an important value in circuit analysis as it helps to determine the flow of current in a circuit. It is also used to calculate the power dissipated by the current source and to analyze the behavior of other circuit components connected in series or parallel with the current source.

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