How Do You Solve Electric Circuit Problems with Multiple Voltage Sources?

In summary, the conversation discusses a problem involving multiple generators and the use of KVL to determine voltage drops. The difference between Uab and Uba is also mentioned. The solution process is explained and the importance of correctly considering signs is emphasized.
  • #1
alexmath
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Homework Statement



http://iceimg.com/i/2a/b2/df5d993eb7.png

Homework Equations


Sorry for the big picture...

The Attempt at a Solution


Every time i see more then 1 generator i get in trouble... i don't understand here when to add and when to substruct voltages. Is there any difference between Uab and Uba...

For the first one i get R=29 which is wrong.
-15V-I(2+R)+6=18
 
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  • #2
alexmath said:
Every time i see more then 1 generator i get in trouble... i don't understand here when to add and when to substruct voltages. Is there any difference between Uab and Uba...
Yes, Uab = -Uba. Look at it as a KVL "walk" from one node to another. In one case you're "walking downhill", dropping overall in potential from +18V to 0V, and in the other case "walking uphill" from 0V to +18V.
For the first one i get R=29 which is wrong.
-15V-I(2+R)+6=18

I think you'll find that the above resolves to R = -29 Ohms, which is clearly not a physically correct value for resistance (at least not at this course level :smile:).

Are you "walking uphill" or "walking downhill" overall in this problem?
 
  • #3
So, the first one should be:
18v-15v+6v=I(2+R)

second one:
If i go from + to - will be a negative sign, but the current is going to the left, and I'm going to the right... so it will be 18V+30 or 18V-30V

signes are so confusing to me :(
 
  • #4
alexmath said:
So, the first one should be:
18v-15v+6v=I(2+R)
Yes, that looks fine.
second one:
If i go from + to - will be a negative sign, but the current is going to the left, and I'm going to the right... so it will be 18V+30 or 18V-30V

signes are so confusing to me :(

If you pencil in the signs of the voltage drops across the resistors according to the current direction first, it should make it easier to assemble your terms when you do your "KVL walk" along the path. The signs of the drops will respect the current's effect according to Ohm's law.
 
  • #5


Hi there,

I can definitely help you with this electric circuits problem! Let's break it down step by step.

First, let's identify the given information in the problem. We have three resistors: 2Ω, 3Ω, and R. We also have two voltage sources: a 15V battery and a 6V battery. The goal is to find the value of R.

Now, let's start by drawing a circuit diagram. We have two voltage sources in parallel, connected to a series of three resistors. Remember that in a parallel circuit, the voltage across all components is the same. So, in this case, Uab = Uba = 15V.

Next, let's apply Kirchhoff's Voltage Law (KVL) to the loop on the left side of the circuit. Starting at point a, we have -15V (from the battery) - I(2Ω) - I(3Ω) = 0. We can simplify this to -15V - 5I = 0.

Now, let's apply KVL to the loop on the right side of the circuit. Starting at point b, we have Uab (which we already know is 15V) - I(R) - 6V (from the battery) = 0. We can simplify this to 15V - IR - 6V = 0.

Since we have two equations and two unknowns (I and R), we can solve for both of them. Using substitution, we can solve for I in the first equation: I = (-15V)/5 = -3A. Then, we can plug this value of I into the second equation and solve for R: R = (15V - 6V)/(-3A) = 9Ω.

So, the value of R in this circuit is 9Ω. I hope this explanation helps you understand how to approach problems with multiple voltage sources and resistors. Remember to apply KVL to each loop in the circuit and to consider the direction of current flow when determining the sign of the voltage drop across each component.

Best of luck with your studies!
 

FAQ: How Do You Solve Electric Circuit Problems with Multiple Voltage Sources?

How do I solve this electric circuits problem?

Solving an electric circuits problem involves understanding the basic principles of electricity and circuits, such as Ohm's Law and Kirchhoff's Laws. You will also need to know how to calculate voltage, current, and resistance in series and parallel circuits. It is important to carefully analyze the problem, draw the circuit diagram, and use the appropriate equations to find the solution.

What should I do if I'm stuck on an electric circuits problem?

If you are stuck on an electric circuits problem, try breaking it down into smaller parts and solve them one by one. You can also try working backwards from the desired solution. It may also be helpful to review the basic concepts and equations related to electric circuits.

How can I check my answer for an electric circuits problem?

To check your answer for an electric circuits problem, you can use a multimeter to measure the voltage, current, and resistance at different points in the circuit and compare them to your calculated values. You can also use simulation software to create a virtual circuit and compare your results with the simulation.

What common mistakes should I avoid when solving an electric circuits problem?

Some common mistakes to avoid when solving an electric circuits problem include using incorrect equations, using the wrong units for measurements, and forgetting to include all components in the circuit. It is also important to double-check your calculations and make sure they are consistent with the given information.

Can I use different methods to solve an electric circuits problem?

Yes, there are often multiple ways to solve an electric circuits problem. You can use different methods, such as nodal analysis or mesh analysis, to simplify the circuit and find the solution. It is important to choose the method that is most efficient and accurate for the specific problem.

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