Power Dissipation: Understanding Equations & Solutions

In summary, the conversation is about finding the correct equation for calculating power, with the correct equation being P=F*V. The person asking the question initially made a mistake when substituting for F in the power equation, but they eventually figured out the correct solution with some guidance. They then went on to discuss how power is proportional to v^3 and how to solve for Vf in terms of Vi.
  • #1
soupastupid
34
0

Homework Statement





Homework Equations



P=F*V

The Attempt at a Solution



why isn't it

P = Cd(A^2)(v^2) * (v)

i don't see what i could do
 

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  • #2
soupastupid said:

Homework Equations



P=F*V
This is correct.

The Attempt at a Solution



why isn't it

P = Cd(A^2)(v^2) * (v)
But this is not. You made an error when you substituted for F in the power equation. Redo it, paying attention to each factor in the drag formula.
 
  • #3
ok i figured out the first part

how do i figure out part B?

I kno the power is proportional to v^3
and so if i increase the power by 10%
i should get

??

if Pi = -(vi^3)AC_d

then 1.1Pi=-(vf^3)AC_d

Pi = (-(vf^3)AC_d ) / 1.1

(vf^3) = 1.1(vi^3)

then what?
 

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  • #4
Solve for Vf in terms of Vi. (Take the cube root of both sides.)
 

1. What is power dissipation?

Power dissipation is the process of converting electrical energy into heat energy. It occurs when an electrical component, such as a resistor, experiences a voltage drop and current flow, resulting in the production of heat.

2. How is power dissipation calculated?

The power dissipation of a component can be calculated using the equation P = IV, where P is power in watts, I is current in amperes, and V is voltage in volts.

3. How does power dissipation affect circuit design?

Power dissipation is an important consideration in circuit design because it can cause components to overheat and fail, and also impact the overall efficiency and performance of the circuit. Therefore, engineers must carefully consider the power dissipation of each component when designing a circuit.

4. What are some common solutions to reduce power dissipation?

Some common solutions to reduce power dissipation include using components with lower resistance, increasing the surface area for heat dissipation, implementing proper thermal management techniques, and optimizing the circuit design for efficiency.

5. How does power dissipation relate to Joule's law?

Joule's law states that the amount of heat produced in a conductor is directly proportional to the square of the current and the resistance of the conductor. This means that as power dissipation increases, so does the amount of heat produced in a component, following Joule's law.

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