Mesh analysis and power dissipation

[Andriy B]

Hi I'm taking an intro course to electrical and computer engineering and I'm having trouble figuring out part c of number one. I have attached a copy of my solutions to parts a and b which I believe are right (correct me if I'm wrong please) however when I calculate the power dissipation of each component and add them up I get a large number. Thank you in advance.

 

[zoki85]

" Determine the power dissipation of each component and show that the sum of the power dissipated equals zero "

Somebody was drunk while writting that assignement ? Dissipative components in that mesh are resistors. Sum of powers dissipated in them must be equal to sum of powers delivered by voltage sources.

 

[Andriy B]

So what's the correct way to solve part c?

 

[zoki85]

After you find current of each branch, calculate power dissipated by every resistor (P_R=I_R²R).Sum these powers up to find total power dissipated in network. Power contribution of voltage source calculate as P_S=V_s⋅I, where I is current through the source (pay attention to voltage source orientation and current flowing through it, depending on network parameters it may be negative). Then show that ∑P_R= ∑P_S holds

 

[alphy]

Hello,

Thank you for sharing your solutions to parts a and b. It looks like you have a good understanding of mesh analysis so far. For part c, it is important to remember that power dissipation is the amount of energy that is converted to heat by a component. This means that you need to use the voltage and current values for each component to calculate the power dissipation.

To calculate the power dissipation for a component, you can use the formula P = VI, where P is power, V is voltage, and I is current. So for each component, you would multiply the voltage across it by the current through it. Then, you can add up all the individual power dissipation values to get the total power dissipation for the circuit.

It is also important to note that power dissipation is often measured in watts (W) or milliwatts (mW), not just in numbers. So if you are getting a large number, it could be because you are not using the correct units. Make sure to check your calculations and use the correct units to get the correct answer.

I hope this helps clarify the concept of power dissipation for you. If you have any further questions, please feel free to ask. Good luck with your studies!