Recent content by bmbuncher

Homework Statement Find the magnetic field generated at the center of a coil of wire with N turns, a radius of r, and a current I running through it Relevant equations B=μ0nI, where n=N/L (L is the total length of the coil) The attempt at a solution B=μ0nI B=μ0I(N/L) L=2πrN B=(μ0NI)/(2πrN)...

The AND gate, which is located 10 meters from the centerpoint between the lasers, is connected to each of the laser receivers. One wire begins at each receiver, which then experiences a right angle turn towards the centerpoint of the lasers, and once they reach the center, they make another...

I see, that makes sense. I think Peter is right, in that the main question here is not how the meter stick will behave when experiencing length contraction; rather, it is how to resolve the appearance that the light will be on or off depending on which reference frame is used, which, with my...

Oh, I see! It never occurred to me that the electronics would be affected, but that does make sense. I'll do some research on Lorentz contractions to figure out how to apply the equations (I've never used them before), and if it still doesn't make sense, I'll ask my questions here. Thank you!

I'm sorry, it would be two receivers. Each of these receivers would send an electrical signal into the AND gate at a separate location when the individual laser is covered. When both are covered, an electrical pulse would leave the AND gate and turn on the light. The AND gate and wires...

I see. My thought is that a receiver would trigger when the light is interrupted like a normal laser tripwire would activate. Both of these would feed into an AND gate, which would send an electrical pulse when both were active simultaneously; however, I do not know enough about electronics...

I see, thank you! I'll do some more research on the different types of integration, then, this is very interesting!

So if I'm understanding this correctly, simultaneous events are not necessarily simultaneous because the Lorentz transformations cause different locations experience different effects (I know that is somewhat unscientific, but I haven't spent a huge amount of time investigating the mathematics...

Oh, I see, because (a,b) is an open interval, when a=b, it is an empty set, so there is no c such that c ∈ (a,b) (I think, correct me if I'm wrong). Is it therefore not a valid integral to integrate from a to a?

@Micromass: I see, that makes some sense. However, what happens when both bounds of the integrand are the same (namely, they are both positive π/2)? Would there not be a valid value c ∈ (a,b) because a and b are the same?

Hi! I have a question about integrating a function with an infinite value. If you integrate a function with a place where the integrand diverges to infinity, I understand that the value of the integral should diverge to infinity. However, what happens when you set both bounds to be the value...

Hi! I have been pondering a scenario involving a paradox with length contraction. I brought it up with my physics professor, and I somewhat understand what is supposed to happen, but I'm still somewhat confused, so I was wondering if you could help me figure out what is going on. In this...