PHYS 221 General Physics II - Calculus Supplement Homework Solution Gauss Law Problem: A Cube with sides of length A, is in an uniform electric field E that
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points in the X direction. a) Find the flux through each of the six sides. b) Find the tota
Gauss' Law Although the electric field of any given charge distribution can be calculated using Coulomb's Law (as we did last week), the method involves the evaluation of integrals, which, to put it mildly, is tedious. Happy Happy Joy Joy there exists ano
Biot Savat and Ampere Last time we said that the magnetic field produced at a distance r by a charge q moving with a velocity v was B =(oq)/ (4r2) ( v x r-hat) Now the magnetic field produced by a current flowing in a wire is of much greater practical int
Two derivations of Snells Law In Phys 220 we are representing the light as rays - straight lines. We know that light is actually a wave We can think of this rather like a water wave - these are the ripples set up by a dripping faucet - expanding out into
PHYS 221 General Physics II - Calculus Supplement Homework Solution Faraday
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Problem: If a rod has length 2L and is rotating thru a magnetic field B with an angular velocity , (a)what is the induced emf between the center of the rod and one end? (b)B
PHYS 221 General Physics II - Calculus Supplement Homework Solution Amperes Law
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Problem: A long straight wire has a circular cross section of radius R. If the current is uniformly distributed over the volume of the wire, what is the magnetic field a
PHYS 221 General Physics II - Calculus Supplement Homework Solution The Magnetic Force
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Problem: An electron moves in a circular orbit (according to the Bohr model of the atom) around a proton of radius 5.3 X 10-11m with a velocity of 2.2 X 106m/s. W
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The Magnetic Force
According to Coulomb's Law, the electric force exerted on a static charge q by another static charge q' has the form
where q and q' are the charges and r is the distance between them and r-hat is a unit vector pointin
H omework on Potential - Answers 1. An stationary electron is infinitely far from a proton. (remember the potential inifinitely far from a point charge is 0). What is its velocity when it falls to 5.3 x 10 -11 m? Use conservation of energy Ei = Ef Ki + Ui
PHYS 221 General Physics II - Calculus Supplement Homework Solution Gauss Law
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Problem: A spherical region of radius R has a total charge q which is uniformly distributed over the volume. What is the electric field at points inside the sphere? Soluti
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Electrostatic forces
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PHYS 221 General Physics II - Calculus Supplement
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Assignment #1: Waves
Show all work by setting up the equation, solving it, plug in the appropriate values and evaluating it at the limits. Box answers for full credit. Use proper units.
A) Show that
PHYS 221 General Physics II - Calculus Supplement Homework Solution Waves A) In order to show that y = Sin
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x
L
Cos
ct
L
is a solution of the wave equation
2 y 1 2 y = x 2 c 2 t 2
we first take the second partial derivative of y with respect to x:
x