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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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:

Identify whether the following statement is true or false. Circle your answer choice. If the answer is false, correct the statement to make it true.

True / False The solubility of silver hydroxide will increase in a basic solution.

True / False An indicator is a weak organic acid that changes color in solution depending on the protonation state

True / False Solubility product constants are large for insoluble salts.

True / False The equation that will correspond to the solubility of the salt, MX3, in water is K_sp = 27x⁴

True / False A Lewis acid is the proton donor.

True / False A strong oxidizing agent has a high reduction potential

True / False Lead will oxidize first in a mixture that contains lead (E_red = −0.13 V) and zinc (E_red = −0.76 V) metals.

An aqueous solution contains 0.100 M Ce3+; 1.00 × 10-1 M Ce4+; 1.00 × 10-4 M Mn 2+; 0.100 M MnO4 - and 1.00 M HClO4 at 298 K.

You are given:

Ce4+ + e-  Ce3+ E° = 1.70 V

MnO4 - + 8H+ + 5e-  Mn2+ + 4H2O E° = 1.507 V 5.

(a) Write a balanced net reaction that can occur between the species in this solution and calculate its E° value.

(b) Calculate ΔG° and K for the reaction at 298 K.

(c) Calculate the total E for the net reaction in part (a) at 298 K.

(d) At what pH would the concentrations of Ce3+, Ce4+, Mn2+ and MnO4 - listed above be in equilibrium at 298 K?