frogjg2003 said:You said you know:
F=m v^2/r=m r ω^2=mr(2π/t)^2
F=q E= q 2 k λ/r
You correctly said that you have to set them equal to each other
2qkλ/r=4π^2mr/t^2
You were given r and t. q, k, and m are known physical constants. The only unknown variable is λ. Just solve for it and plug in numbers.
Alright so I got λ = 2π^2mr^2/kqt^2. I plugged in the numbers and got the same answer as before though, lol.frogjg2003 said:Don't plug in numbers until the final answer. Solve for λ, then plug in numbers. Also, just because it's small doesn't mean it's wrong.
frogjg2003 said:Ok, you got the same answer. Why did you think it was wrong?
frogjg2003 said:I see the problem. You weren't given the period, you were given the rotation speed. "1.30*10^6 revolutions per second"
frogjg2003 said:Or you could use the frequency 1.6*10^6 instead of 1/period. Either way, you're multiplying by (1.3*10^6)^2 instead of dividing.
Alright I got 8.439 nC/m and that is still wrong, lol. Damn, I don't know where I'm going wrong. I'm plugging in everything:frogjg2003 said:Let's go back to the equation that you found:
[tex]\lambda = \frac{2\pi^2mr^2}{kqt^2}[/tex]
Replace t by 1/f to get
[tex]\lambda = \frac{2\pi^2mr^2f^2}{kq}.[/tex]
Now, what you have been plugging in as t (1.6*10^6s) isn't t, it's the frequency f (1.6*10^6 Hz). Also, make sure that when you're plugging in units, you're using only base units. Only m should be in kg, r should be in m, f should be in Hz, k should be in N*m^2/C^2. Your answer should be in C/m.
frogjg2003 said:That's because I had a typo and I wrote 1.6 MHz instead of 1.3 MHz.
A linear charge density refers to the amount of electric charge per unit length along a line or wire. It is typically represented by the symbol λ and has units of coulombs per meter (C/m).
The linear charge density of a wire can be calculated by dividing the total charge of the wire by its length. This can be represented by the formula λ = Q/L, where Q is the total charge and L is the length of the wire.
The unit of measurement for linear charge density is coulombs per meter (C/m). This unit is a combination of the unit for electric charge (coulomb) and the unit for length (meter).
A proton, being a fundamental particle with a positive charge, contributes to the overall linear charge density of a wire. Its contribution depends on the number of protons present in the wire and the wire's length.
Yes, the linear charge density of a wire can be negative if the wire has an overall negative charge. This can occur if there are more negatively charged particles (such as electrons) present in the wire than positively charged particles (such as protons).