THANK YOU! I should look for those rules before using complicated substitutions like I tried. Also, your point about differentiating the answer to find what your integral should look like is a great idea! I will definitely apply those to future integration problems.
Thanks again!
Homework Statement
A bar of mass m, length d, and resistance R slides without friction in a horizontal plane, moving on parallel rails. A battery that maintains a constant emf \epsilon is connected between the rails, and a constant magnetic field B is directed perpendicularly to the plane...
Homework Statement
A solenoid 2.50 cm in diameter and 30.0 cm long has 300 turns and carries 12.0 A. Calculate the flux through the surface of a disk of radius 5.00 cm that is positioned perpendicular to and centered on the axis of the solenoid.
Homework Equations
B = (permeability...
Homework Statement
A long, hollow conducting pipe of radius R and length L carries a uniform current I flowing around the pipe. Find expressions for the magnetic field (a) inside and (b) outside the pipe. Hint: What configuration does this pipe resemble?
Homework Equations
Ampere's Law...
Thanks so much! I didn't know that it gains qV every time. I guess that's because the cyclotron is doing qV work on the particle when it is passed from one dee to the other?
Homework Statement
A cyclotron is designed to accelerate deuterium nuclei. (Deuterium has one proton and one neutron in its nucleus.)
[ANSWERED] (a) If the cyclotron uses a 2.0-T magnetic field, at what frequency should the dee voltage be alternated?
[ANSWERED] (b) If the vacuum chamber has...
ok, let me see if i got it straight:
W = Krotational + Ktranslational = 1/2Iw^2 + 1/2mv^2 = 1/2(1/2mR^2)(v/R)^2 + 1/2mv^2 = 3/4mv^2
and
W = F * d = (IdB)(L)
so
3/4mv^2 = IdBL
v = 2/sqrt(3) sqrt(IdBL/m)
now my question is, why doesn't the radius of the rod, R, matter? did i use the right moment...
Homework Statement
A rod of mass m and radius R rests on two parallel rails that are a distance d apart and have a length L. The rod carries a current I and rolls along the rails without slipping. A uniform magnetic field B is directed perpendicular to the road and the rails, pointing...
Oh, I understand what you mean now. However, they are released from opposite ends, so I think when they cross, their x values should be equal. That is why my x equation for the electron starts at r = 4.
Homework Statement
A uniform electric field of magnitude 640 N/C exists between two parallel plates that are 4.00 cm apart. A proton is released from the positive plate at the same instand that an electron is released from the negative plate. Determine the distance from the positive plate that...
Ok. Amazing. Thanks for the quick reply. Here's what I've come up with:
protons:electrons ~= 1:1
average human mass ~= 6.00x10^4 g
mass of one proton is 1 amu = 1.6607x10^-24 g
mass / amu mass = #protons + #neutrons
-> 6.00x10^4g / 1.6607x10^-24g = 3.61x10^28
divide by 2 to get the # of...
Homework Statement
Richard Feynman once said that if two persons stood at arm's length from each other and each person had 1% more electrons than protons, the force of repulsion between the two people would be enough to lift a "weight" equal to that of the entire earth. Carry out an...
Homework Statement
A charged cork ball of mass 1g is suspended on a light string in the presence of a uniform electric field. When E = (3i + 5j) * 10^5 N/C, the ball is in equilibrium at \theta = 37 degrees. Find the charge on the ball and the tension on the string.
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