Applying Kirchhoff’s Junction Rule, what happens to the power source and current source when the parallel circuit has two branches, each with a resistor, R?
whats the answer
Kirchhoff's Junction Rule in circuit designs help us understand the flow of a current and the variation of voltage of a circuit loop through multiple electrical appliances, devices, homes, and businesses continuously. With that, Kirchhoff's rule can be used with Ohm's law to determine the resistance of a current in any circuit.
Oh yeah, please don't copy my response, because I wrote this by reviewing through my lessons.
This is for Question 15 btw.
To understand what happens to the power source and current source in a parallel circuit with two branches, each with a resistor R, we need to apply Kirchhoff's Junction Rule.
Kirchhoff's Junction Rule, also known as Kirchhoff's Current Law (KCL), states that the sum of currents entering a junction in a circuit is equal to the sum of currents leaving the junction.
In this parallel circuit, let's assume that the power source supplies a current I and a voltage V across the circuit.
Now, if we apply Kirchhoff's Junction Rule at the point where the branches meet, we find that the sum of currents entering the junction should equal the sum of currents leaving the junction.
Let's denote the current flowing through the first branch as I1 and the current flowing through the second branch as I2.
According to Kirchhoff's Junction Rule, we have:
I = I1 + I2 -- Equation (1)
Now, in a parallel circuit, the voltage across each branch is the same as the voltage across the power source. So both the branches receive the same voltage V.
Applying Ohm's Law to each branch, we can write:
I1 = V / R -- Equation (2)
I2 = V / R -- Equation (3)
Substituting Equations (2) and (3) into Equation (1), we get:
I = (V / R) + (V / R)
Simplifying the equation, we find:
I = 2V / R
From this equation, we can observe that the total current flowing through the circuit (I) is directly proportional to the voltage (V) and inversely proportional to the resistance (R).
Therefore, in a parallel circuit with two branches, each with a resistor R, the current source remains the same, and the power source delivers a current double that of a single branch.
To summarize:
- The power source delivers twice the current to compensate for the two parallel branches.
- The current source remains the same in each branch.
- The voltage across each branch remains the same and equal to the voltage of the power source.