Solution to Griffiths introduction to EM problem 2.26

AI Thread Summary
The discussion revolves around solving Griffiths' Introduction to Electrodynamics problem 2.26, which involves calculating the potential difference between two points on a conical surface with a uniform surface charge. Participants emphasize the importance of showing initial work to receive constructive feedback rather than asking for complete solutions. There is a suggestion to post the specific problem details for better assistance, as not everyone may have access to the textbook. The conversation highlights a common frustration with students seeking answers without engaging in the problem-solving process. Overall, the focus is on collaborative learning and the importance of effort in understanding complex topics.
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Hi, there,

Could you please show me the solution to Griffiths Introduction to Electrodynamics, problem 2.26? The integral is so complicated. Thanks
 
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Cool! We're using the same textbook. Yeah, my next assignment will probably have problems from that section as well, since we're covering chapter 2 in the lectures right now. But, no one's going to do your homework for you. Show what you've got so far, and they'll help you out with corrections/point you in the right direction.
 
You might need to post the problem, since many you could help you may not have that text.
 
The problem is

A conical surface (an empty ice-cream cone) carries a uniform surface charge <sigma>. The height of the cone is h, and the radius of the top is R. Find the potential difference between points a(the vertex) and b (the center of the top)

Thanks a lot.
 
It could be worse!

I remember one post that said, in it's entirety, "What's the solution to the fourth problem on today's homework."

And another "What chapters will tomorrows test cover?"
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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