Solve Basic Circuit Problem w/ 10 A, 20 A, 5 ohms, 10 ohms, 40 ohms

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In summary, to solve this problem, you need to apply KCL at two nodes, use Ohm's Law to calculate the voltage across each resistor, and then add up the voltages to find the values of Va, Vb, and Vc.
  • #1
ottenros
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Source I = 10 A pointing up
Source II = 20 A pointing up

R1 = 5 ohms
R2 = 10 ohms
R3 = 40 ohms

I'm asked to find ia, ib, and ic, as well as Va, Vb, and Vc.

This problem doesn't seem hard yet i can't figure it out.
I think that there is two nodes,
one between source I and Va and the other being between Vb, Vc, Source II

How do i approach this problem?
So far i have

@ node A
10 A = ia

@ node B
25 A + ia = ib + ib

Is this the right start at all? Can someone please help me, I've been trying this problem for hours...
 

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  • #2
Yes, you have the right start. Here are the steps to solve the problem:1) Draw a circuit diagram of the given sources and resistors. This will help you visualize the problem.2) Apply KCL at node A to find ia. You already have the equation for this.3) Apply KCL at node B to find ib. The equation for this is 25 A + ia = ib + ic. 4) Solve for ic. Subtract ia from both sides of the equation to get ic on one side.5) Apply Ohm's Law to calculate the voltage across each resistor. For example, Va = Ia * R1. Do this for all three resistors.6) Finally, add up the voltages to get Va, Vb, and Vc.
 

FAQ: Solve Basic Circuit Problem w/ 10 A, 20 A, 5 ohms, 10 ohms, 40 ohms

How do you calculate the total resistance in a basic circuit?

In order to calculate the total resistance in a basic circuit, you must first determine the individual resistances of each component. Then, you can use Ohm's Law (R = V/I) to calculate the total resistance by adding the individual resistances together.

What is the difference between series and parallel circuits?

In a series circuit, the components are connected one after the other, with the same current flowing through each component. In a parallel circuit, the components are connected side by side, with the total current being divided among the components.

How do you calculate the total current in a basic circuit?

In a series circuit, the total current is the same throughout the circuit. In a parallel circuit, you can use the formula I = V/R, where V is the voltage and R is the total resistance, to calculate the total current.

What is the relationship between voltage, current, and resistance in a basic circuit?

According to Ohm's Law, there is a direct relationship between voltage, current, and resistance. As voltage increases, current increases, and as resistance increases, current decreases. This relationship can be represented by the equation I = V/R.

How can you apply Ohm's Law to solve basic circuit problems?

To apply Ohm's Law to solve basic circuit problems, you must first identify the known values for voltage, current, and resistance. Then, you can use the appropriate formula (V = I x R, I = V/R, or R = V/I) to solve for the unknown value.

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