A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x)=Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 14.0 mm and the potential difference between electrodes is 200 V

Determine the value of C

Obtain a formula for the electric field between the electrodes as a function of x.

Determine the magnitude of the force on an electron when the electron is halfway between the electrodes

Determine the direction of the force on an electron when the electron is halfway between the electrodes

v) How would the contractionary monetary policy affect the domestic economy’s trade balance compared to trade deficits (Expansionary Fiscal Policy)

2) Consider the following representation of a model economy,

C = 4 + 0.7Y

P = 5W

I = 1 − 2i

W/Pe = 0.02Y

Q = 0

Ms = 600

X = 0

L(i, Y ) = P(5Y − 2i)

i) Find the Aggregate Supply equation for this economy.

ii) What is “medium run” full employment output in this economy?

iii) What is the “medium run” rate of interest in this economy?

iv) What is the price-level for this economy in this “medium run”?

v) If the price expectation in this economy is Pe = 25, what would the actual short-run price level be?

Need an explination for this the answers are in the bottom

4. In pea plants, violet flower color is dominant over white flowers. For the following crosses, give the most probable genotype for EACH of the parents. !!! !! ! !

# of Progeny Parents violet! ! white

#1. violet X violet 82 0

#2 violet X violet 118 39

#3 white X white 0 50

#4 violet X white 89 92

and here is the answers :

4. We can let V be the dominant allele for violet, and v be the recessive allele for white.

#1 VV X VV, OR VV X Vv (either one works)

#2 Vv X Vv

#3 vv X vv

#4 Vv X vv

A series RLC circuit consists of a 56.0 ? resistor, a 3.80 mH inductor, and a 400 nF capacitor. It is connected to a 3.0 kHz oscillator with a peak voltage of 4.10 V.

Part A

What is the instantaneous emf E when i =I?

Express your answer with the appropriate units.

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Part B

What is the instantaneous emf E when i =0A and is decreasing?

Express your answer with the appropriate units.

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Correct

Part C

What is the instantaneous emf E when i =?I?

Express your answer with the appropriate units.

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a) What is the speed of a beam of electrons that go undeflected when passing through crossed electric and magnetic fields of magnitude 1.39x10⁴ V/m and 2.92x10^-3 T, respectively? Give your answer to 3 sf.

b) Protons move in a circle of radius 5.2 cm in a 0.502 T magnetic field. What value of electric field could make their paths straight? Give your answer to 3 sf.

c) The beam of electrons goes undeflected when passing through crossed electric and magnetic fields of magnitude 1.37x10⁴ V/m and 2.92x10^-3 T, respectively. What is the radius of the electron orbit, in mm, if the electric field is turned off? Give your answer to 2 sf.

An old car battery that has an emf of e m f1 = 11.5 V and an internal resistance of 55.0 mΩ is connected to an R = 2.00 Ω resistor. In an attempt to recharge the battery, you connect a second battery that has an emf of e m f2 = 12.6 V and an internal resistance of 10.0 mΩ in parallel with the first battery and the resistor with a pair of jumper cables.

(a) Draw a diagram of the circuit.

(b) Find the current in each branch of the circuit. (Enter your answers from smallest to largest.)

(c) Find the power supplied by the second battery. Assume that the emfs and internal resistances of both batteries remain constant.

Discuss where that power is delivered. Assume that the emfs and internal resistances of both batteries remain constant.

Inside a boiler with a volume of 0.5 m, there is wet steam with a half volume of water at 140 kPa pressure. As a result of giving heat at constant pressure, after half of the water is vaporized, heat is continued until the pressure in constant volume is 1 MPa. Then, after giving heat at constant pressure, according to the temperature is 400 ° C; Show the temperature, pressure, volume, internal energy, enthalpy and dryness levels in a table during state changes.

b) Show the state changes in P-v and T-v diagram.
c) Find the work and heat transition after the state changes.
d) Find the required amount of fuel (natural gas, coal, fuel oil) for the heat given after the state changes by making the necessary assumptions.

Consider a firm which produces according to the following production function by using labor and capital:

f(l,k) = k^{1/4 / 1/2}

(a) Solve the cost minimization problem of this firm for the given wage rate, w and the rental rate of capital,v.

(b) Derive the cost function of the firm.

(c) Solve the profit maximization of the firm for a given price p, and derive the supply function.

(d) Derive the profit function of the firm.

(e) Suppose demand for this good is given by the following relation: p = 272−2q

Now, solve for the market equilibrium price level (where demand equals supply) if w = 1 and v = 2. (f) Decide whether the production function exhibits constant, increasing or decreasing returns to scale.

Batch and continuous biomass production Pseudomonas methylotrophus is used to produce single cell protein from methanol in a 1000-m pressure-cycle airlift fermenter. The biomass yield from substrate is 0.41 gg-, Ks is 0.7 mg 1", and the maximum specific growth rate is 0.44 h. The medium contains 4% (w/v) methanol. A substrate conversion of 98% is desirable. The reactor may be operated in either batch or continuous mode. If operated in batch, an inoculum of 0.01% (w/v) is used and the downtime between batches is 20 h. If continuous operations are used at steady state, a downtime of 25 days is expected per year. Neglecting maintenance requirements, compare the annual biomass production achieved using batch and continuous reactor

question 1 (explain each code)

If more information if needed please let me know

a)t=linspace(0,1,1000); % Time t

Meaning:

b) for i=1:1000

xt(i)=v*cos(theta*pi/180)*t(i);

yt(i)=h+(v*sin(theta*pi/180)*t(i))-0.5*g*t(i)^2;

end

Meaning:

c) k = find(yt<0,1) % find index at which distance becomes

fprintf('Ball hits the ground at distance of %d meters',xt(k))

Meaning:

d) x=0:0.1:max(xt);

y=0;

plot(x,y*ones(size(x)),'--k')

Meaning: