Time and Date Stamps (logged): 12:49:22 05-21-2012 °±Ÿ³¸Ÿ±±¯´Ÿ±°Ÿ±¯°± Physics II

University Physics (Phy 232, Phy 242) Test 3


Completely document your work and your reasoning.

You will be graded on your documentation, your reasoning, and the correctness of your conclusions.

** Write clearly in dark pencil or ink, on one side of the paper only. **


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Instructions:

Directions for Student:

Test Problems:

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Constants

Constants:

k = 9*10^9 N m^2 / C^2 qE = 1.6 * 10^-19 C h = 6.63 * 10^-34 J s
energy of n=1 orbital in hydrogen atom:  -13.6 eV k '  = 9 * 10^-7 T m / amp atomic mass unit:  1.66 * 10^-27 kg
electron mass:  9.11 * 10^-31 kg speed of light:  3 * 10^8 m/s Avogadro's Number: 6.023 * 10^-23 particles/mole
Gas Constant:  R = 8.31 J / (mole K) proton mass:  1.6726 * 10^-27 kg neutron mass:  1.6749 * 10^-27 kg

 

 

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Problem Number 1

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Problem Number 2

A capacitor with capacitance 8 `microC/Volt is in series with a resistance of 8270000 Ohms and a 25 volt source. When the capacitor holds a charge of 33 `microC, approximately how long will it take it to increase its charge by 1%?

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Problem Number 3

Point A is at potential -18.02 volts and point B is at potential 45.5 Volts.  How much work is required to move a charge of 1.88 C from a point A to point B?

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Problem Number 4

An electron (mass 9.11 * 10^-31 kg) passes to the East through a magnetic field of .0049 Tesla directed vertically downward, crossed with an electric field directed either North or South.  The electron passes through undeflected at a velocity of 5.1 * 10^6 m/s.  Is the electric field directed North or South, and what is the field strength?   What force does the electron experience from each field?

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Problem Number 5

A certain hypothetical atom contains 74 protons and 100 neutrons in its nucleus and has an atomic mass of 172.8 atomic mass units, or amu (an amu is approximately 1.66 * 10^-27 kg). How many protons and how many neutrons will it end up with if it undergoes an alpha decay? How many if it undergoes a beta decay? How many if it undergoes a gamma decay?

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Problem Number 6

A coil consists of 49 circular loops of wire each of radius .27 meters.  The coil is in a uniform magnetic field with strength .0079 Tesla.  The coil is rotated in such a way that at t = 0 the field makes an angle of 75 degrees with a perpendicular to the plane of the loop, while at t = .01 sec the field makes an angle of -29.01 degrees with the same perpendicular.  What is the average voltage induced around the coil?

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Problem Number 7

A generator creates a potential difference of 3.1 volts when cranked at 1 revolution/sec, and the voltage is proportional to the cranking rate.  If the generator has an internal resistance of 30 ohms, and is connected across a bulb whose resistance is 43 ohms, then if it is cranked at 2.1 revolutions / sec how much current will flow?  How much power will be dissipated by the current?  How much power will be dissipated in the bulb?

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Problem Number 8

Find the force on a 6.9 `microCoulomb charge at ( 6.932 m, 5.205 m) due to a charge of 8.5 `microCoulombs at ( .981 m, 1.63 m).  Find the PE change if the charges are moved .015 m closer together.

 

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Problem Number 9

Use integration to find the torque exerted on a circular wire loop, lying in a horizontal plane and constrained to rotate about a horizontal axis through its center, by a vertical magnetic field B.

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Problem Number 10

A square loop with area A and carrying current I lies initially stationary in a horizontal plane and is constrained to rotate about an axis parallel to two of its sides and passing through the center of the square.  A vertical uniform magnetic field B permeates the region.  If the loop has moment of inertia J, then what differential equation relates the angular position `theta of the loop to clock time?