An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 27μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density λ = -0.36μC/m.
1 What is Ey(R), the y-component of the electric field at point R, located a distance d = 46 cm from the origin along the y-axis as shown?
2 What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (46 cm, 46 cm).
3 What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator?
4 Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator?
5 The charge density of the insulating cylinder is now changed to a new value,ρ’ and it is found that the electric field at point P is now zero. What is the value of ρ’?
In: Physics
Which of the following is true? An undervalued fixed rate currency encourages inflation in that country An overvalued currency is a sign of a trade surplus for that country An undervalued currency is a sign of an excess supply of that currency An overvalued currency increases a country’s exports
A US corporation has a CNY1,000,000 account payable due in 6 months. To hedge its currency risk your company enters into an NDF contract. The current spot rate is CNY7.15/$, the NDF contract rate is CNY7.00/$, and the spot rate 6 months from today is CNY7.25/$
Your company pays $1,929.11
Your company pays $4,926.11
Your company receives $1,929.11
Your company receives $4,926.11
Which of the following transactions is/are in the US BOP account?
I.) A Chinese company buys US Treasury securities from a broker/dealer in Sydney, Australia.
II.) An Italian family flies United Airlines to New York.
III.) A US investment bank buys a German stock from a US insurance company.
IV.) A Spanish mutual fund sells a Chinese company’s stock to a NY investment bank.
V.) A US company sells a factory in Malaysia to a Chinese bank.
II and V
I and II
II, IV, and V
III and V
In: Economics
A resistor R = 475 Ohm and an inductor of L = 1.4 H are used in and RL circuit to control the timing of some device. What time constant does this device exhibit?
Question options:
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2.9 ms |
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67 ms |
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39 ms |
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29 ms |
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none of these |
Question
A long wire carries a steady current of I = 5.5 A. What is the strength of the magnetic field 5.5 cm away from the wire?
Question options:
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5.5 x 10^-7 T |
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2.0 x 10^-6 T |
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none of these |
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2.0 x 10^-5 T |
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5.5 x 10^-5 T |
Question
An ideal step up transformer changes 12.5 V in the primary to 118 V in the secondary. How much current is in the secondary if there is 0.475 A in the primary?
Question options:
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0.503 A |
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0.0503 A |
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none of these |
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5.03 A |
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50.3 A |
Question
A 400. turn solenoid, 24 cm long, has a diameter 2.2 cm. A 12-turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases by 3.5 A/s, what will be the induced emf in the short coil?
Question options:
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0.33 micro V |
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33 micro volts |
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3.3x10^2 micro V |
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none of these |
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3.3 micro volts |
In: Physics
Suppose a country has a money demand function (??)?=?? where k is a constant parameter. The money supply grows by 12 percent per year, and real income grows by 4 percent per year.
a. What is the average inflation rate?
b. If real income growth were higher, inflation would be
c. What is the relationship between the parameter k and the velocity of money?
There is no relationship between k and V because the amount of money people hold is not related to the velocity of money.
?=1?V=1k: k is inversely related to velocity because the more money people hold for a given real income, the smaller velocity is, and vice versa.
?=????V=kPYM: k times the ratio of nominal output to the money supply is related to velocity because the more money people hold, the larger velocity is, and vice versa.
?=?V=k: k is directly related to velocity because the more money people hold for a givne real income, the larger velocity is, and vice versa.
d. Suppose, instead of a constant money demand function, the velocity of money in this economy was growing steadily because of financial innovation. Assuming everything else was unchanged, how would that affect the inflation rate?
In: Economics
2. Which of the following pairs of reactants will result in a spontaneous reaction at 25°C. (select all that are spontaneous)
| Pb2+(aq) + 2e- → Pb (s) Eºcell= -0.13V |
| Cu+(aq) + e- → Cu (s) Eºcell= +0.52 |
| Ag+(aq)+ e- → Ag (s) Eºcell= +0.80 |
| Br2 (l)+ 2e- → 2 Br- (aq) Eºcell= +1.09 |
| Li+(aq) + e- → Li (s) Eºcell= -3.04 |
| Al 3+(aq)+ 3e- → Al (s) Eºcell= -1.66 |
| Fe3+(aq) + 3e- → Fe (s) Eºcell= -0.036 |
| Ni2+(aq) + 2e- → Ni (s) Eºcell= -0.23 |
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3.
Order the following in order of increasing reducing agent strength (1=weakest; 4=strongest)
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1234 |
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1234 |
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1234 |
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1234 |
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In: Chemistry
1. If you apply the potential difference V to a parallel plate capacitor, it is charged to the charge value Q. Now you double the separation between the plates keeping the same V. As a result, charge on the plates will be equal to:
A. 2Q;
B. 4Q;
C. Q;
D. Q/2;
E. Q/4;
2. You have several capacitors of different capacitances. Which statement is correct?
A. If the capacitors connected to a battery in series, charges on all capacitors are the same, but potential differences are different;
B. If the capacitors connected to a battery in series, charges on all capacitors are different, but potential differences are the same;
C. If the capacitors connected to a battery in parallel, charges on all capacitors are different, but potential differences are the same;
D. If the capacitors connected to a battery in parallel, charges on all capacitors are the same, but potential differences are different;
E. A and C;
F. B and D.
3. If you apply voltage V to a long aluminum wire, the power P is dissipated in the wire. If you apply the same voltage V to another aluminum wire which has the same diameter, but is 2 times longer, the dissipated power will be equal to:
A. 4P;
B. 2P;
C. P;
D. P/2;
E. P/4.
In: Physics
1) Determine the angle between vectors:
U = <2, -3, 4> and V= <-1, 3, -2>
2) determine the distance between line and point
P: -2x+3y-4z =2
L: 3x – 5y+z =1
3) Determine the distance between the line L and the point A given by
L; (x-1)/2 = (y+2)/5 = (z-3)/4 and A (1, -1,1)
4) Find an equation of the line given by the points A, B and C.
A (2, -1,0), B (-2,4,-1) and C ( 3,-4,1)
5) Determine whether the lines are parallel, perpendicular or neither.
(x-1)/2 = (y+2)/5 = (z-3)/4 and (x-2)/4 = (y-1)/3 = (z-2)/6
6) A) Find the line intersection of vector planes given by the equations
-2x+3y-z+4=0 and 3x-2y+z=-2
B) Given U = <2, -3, 4> and V= <-1, 3, -2>
Find
a. U . V
b. U x V
7) Find the angle between the planes:
3x -5y+7z -4=0 and 3x -2y+5z +3 =0
In: Math
Numeric responses must be either an integer (if exact) or a real number with three decimal places, with the least significant number rounded. Do not use commas. If there are units, the integer part must be between 1 and 999. Use the following units: Ohm, kOhm, mOhm resistors, etc. Conductances: S, mS, MS, etc. Voltage: V, kV, mV, MV, etc. Current: A, mA, kA, uA, nA, etc. Power: W, mW, kW, uA, pW, etc. Time: s, hrs, ks, ms, etc.
1. Voltage amplifiers are available with Avoc = 8 V / V, Rin = 1.8 kΩ, Ro = 850 Ω. With a 12 V DC power source, each amplifier consumes 1.5 mA average current.
a. How many amplifiers do you need to cascade to get at least a 1000 voltage gain with a load resistance of 1.0 kΩ?
b.What is the voltage gain Av obtained? (Respond with a rounded whole number)
c. For the cascade connection, find the open circuit voltage gain. (Respond with a rounded whole number)
d. If you have a 1.5 mV input, how efficient is the equivalent amplifier?
e. Find the transconductance of the entire circuit.
In: Electrical Engineering
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Assume that the following relationship holds:
Maintenance Costs = (v * Machine Hours) + f
REQUIRED
Estimate the values of v and f and the cost equation, using,
1. The Linear Regression method.
Note, to use the linear regression method, you MUST use the Microsoft Excel program.
Make sure to report
1. The values of v and f;
2. A scatter plot of the data points, and
3. The adjusted R-square; explain what the adjusted R-square means.
4. The cost equation in the form of Y = vx + f, substituting the values for v and f from the regression output.
YOUR SUBMISSION MUST BE IN EXCEL.
In: Operations Management
Three resistors with resistances R1, R2, R3 are connected in parallel across a battery with voltage V. By Ohm’s law, the current (amps) is
I = V* [ (1/R1) + (1/R2) + (1/R3) ]
Assume that R1, R2, R3, and V are independent random variables
where R1 ~ Normal (m = 10 ohms, s = 1.5 ohm)
R2 ~ Normal (m = 15 ohms, s = 1.5 ohm)
R3 ~ Normal (m =20 ohms, s = 1.0 ohms)
V ~ Normal (m = 120 volts, s = 2.0 volts
(a) Use Monte Carlo Simulation (10,000 random draws from each input random variable) to estimate the mean and standard deviation of the output variable current. (b) Assess whether the output variable current is normally distributed. (c) Assess whether the inverse of current squared (1/ I2 ) is normally distributed. (d) Estimate the probability that the current is less than 25 amps assuming that the inverse of current squared is normally distributed. (e) Compare your answer to (d) with your simulation results – how many of the 10,000 random results for current are below 25 amps via the Stat > Tables > Tally command?
In: Math