I am about to toss this book off the window

  • Thread starter Thread starter flyingpig
  • Start date Start date
  • Tags Tags
    Book Window
AI Thread Summary
A 100W lightbulb connected to a 120V source experiences a voltage surge to 140V, prompting a calculation of the percentage increase in power output. The initial power is calculated using the formula P = CΔV², leading to a result of 136.11% when comparing the new power to the original. However, the correct interpretation focuses on the actual increase in power, which is 36.11% relative to the original power. The confusion arises from misunderstanding how to calculate the percentage increase versus the total power output. The final answer confirms that the percentage increase in power output is indeed 36.11%.
flyingpig
Messages
2,574
Reaction score
1

Homework Statement



A 100W lightbulb connected to a 120V source experiences a voltage surge that produces 140V for a moment. By what percentage does its power output increase? Assume its resistance does not change

The Attempt at a Solution



(1) P_0 = C\Delta V_0 ^2

(2) P = C\Delta V^2

Note that C is a constant (the resistance)

Divide (1) by (2)

\frac{P_0}{P} = (\frac{\Delta V_0}{\Delta V})^2

Plugging the numbers I get 1.36111...

Multiply it by 100 I get 136.11%

Now, the book says 36.11%

Why...?
 
Physics news on Phys.org
1. Behave yourself. You should give a apt title to your question.
2. You have been asked to calculate the percentage increase in power output. It is the percentage ratio of increase in power output to the initial power.
 
increase = final - initial = 36.11

so required percentage = 36.11%
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top