Electric Potential (Parallel Plate Capacitor Potential Energy and Potential)

A parallel plate capacitor has two terminals, one (+) and the other (-). When you move a test positive charge, q at uniform velocity from the negative terminal (Ui and Vi) to the positive terminal (Uf and Vf), work W = ΔU = qΔV is done on the charge, increasing the energy of the field by this amount. The work done by the field on the charge is – W. (V = U/q, all have their usual meaning)

QUESTIONS on the above observations:

(i) What is the work done to move a negative charge, q at uniform velocity from the positive to the negative terminal? Increasing the potential energy, a push (work) is needed to move the object.

(ii) Which terminal is the high potential for the plus charge?

(iii) Which terminal is the high potential for the negative charge?

(iv) If you do work 1.0 eV to move a proton from the negative to the positive terminal of a capacitor, how much work will you do to move an electron in the exact same manner from the positive the negative terminal of the same capacitor?

(v) What is the potential difference across the above capacitor?

Please explain how to solve and give me an answer.

14-3 Suppose you and most other investors expect the rate of inflation to be 7 percent next year, to fall to 5 percent during the following year, and then to remain at a rate of 3 percent thereafter. Assume that the real risk-free rate, r*, is 2 percent and that maturity risk premiums on Treasury securities rise from zero on very short-term bonds (those that mature in a few days) by 0.2 percentage points for each year to maturity, up to a limit of 1.0 percentage point on five-year or longer-term T-bonds. IBM warrants a DRP of 0.4% and a liquidity premium of 0%. a. Calculate the interest rate on one-, two-, three-, four-, five-, 10-, and 20-year Treasury securities and plot the yield curve. b. Now suppose IBM, a highly rated company, had bonds with the same maturities as the Treasury bonds. As an approximation, plot a yield curve for IBM on the same graph with the Treasury bond yield curve. (Hint: Think about the default risk premium on IBM’s long-term versus its short-term bonds.)

1. Suppose 50.00 mL of 2.0 × 10–4 M Fe(NO3)3 is added to 50.00 mL of 2.0 ×10-6 M KIO3. Which of the following statements is true? For Fe(IO3)3, Ksp = 1.0 × 10–14.
A) A precipitate forms because Qc > Ksp.
B) A precipitate forms because Qc < Ksp.

C) No precipitate forms because Qc < Ksp.

D) No precipitate forms because Qc = Ksp.

E) No precipitate forms because Qc > Ksp.

2. For which of the following reactions is ∆S° > 0 at 25°C?

A) 2H2(g) + O2(g) → 2H2O(g)
B) 2ClBr(g) → Cl2(g) + Br2(g)
C) I2(g) → I2(s)

D) 2NO(g) + O2(g) → 2NO2(g)

E) NH4HS(s) → NH3(g) + H2S(g

3. What is E of the following cell reaction at 25°C? Cu(s) | Cu2+(0.017 M) || Ag(s), (Ag+ = 0.18M)

E°cell = 0.460 V.

A) 0.468V

B) 0.282 V

C) 0.460 V

D) 0.490 V

E) 0.479V

I NEED STEP BY STEP SOLUTIONS FOR EACH PART. DO NOT SKIP ANY PART. ANSWERS TO EACH ARE MARKED IN BOLD

18. Determine the market value of a “comparable” firm based on the following information: value of target firm = $4,000,000; net income of target firm = $200,000; and net income of “comparable” firm = $500,000.

                        a.   $4 million

                        b.   $7.5 million

                        c.   $10 million

                        d.   $12.5 million

                        e.   $15 million

19. Determine the net income of a “comparable” firm based on the following information: value of target firm = $4,000,000; net income of target firm = $200,000; stock price of “comparable” firm = $30.00; and 300,000 shares of stock outstanding for the comparable firm.

                        a.   $450,000

                        b.   $500,000

                        c.   $550,000

                        d.   $600,000

                        e.   $700,000

20. Determine the future value of a target venture which has net income expected to be $40,000 at the end of four years from now. A comparable firm currently has a stock price of $20.00 per shares; 100,000 shares outstanding; and net income of $50,000.

                        a.   $1.0 million

                        b.   $1.4 million  

                        c.   $1.6 million

                        d.   $2.0 million

Consider the following statements: #include #include class Temporary { private: string description; double first; double second; public: Temporary(string = "", double = 0.0, double = 0.0); void set(string, double, double); double manipulate(); void get(string&, double&, double&); void setDescription(string); void setFirst(double); void setSecond(double); }; Write the definition of the member function set() so that the instance variables are set according to the parameters. Write the definition of the constructor so that it initializes the instance variables using the function set() Write the definition of the member function manipulate() that returns a decimal number (double) as follows: If the value of description is "rectangle", it returns first * second If the value of description is "circle" it returns the area of a circle with radius first if the value of description is "cylinder" it returns the volume of a cylinder with radius first and height second. HINT: the volume of a cylinder is simply the area of the circle at the base times the height. If the value of description is "sphere" it returns the volume of the sphere with radius first. Otherwise it returns -1.0; To save you googling what the formula for the volume of a sphere is, given the radius of the sphere, it is V=43πr3 HINT: was included for a reason for the manipulate() function.

I have having trouble with data table 4 and i would like someone to double check my work on the other tables.

NaHCO3(s) + HC2H3O2(aq) → C2H3O2Na(aq) +H2CO3(aq) H2CO3(aq)→ H2O(l) +CO2(g)

Note: 5 mL of 5% vinegar contains 0.25 mL of HC₂H₃O₂ with a density of 1.0 g/mL which equals 0.25 g HC₂H₃O₂.

Data Table 4

                          Limiting Reactant            Theoretical yield of CO₂(moles)    Theoretical yield of CO₂(g)

Reaction 1        NaHCO₂

Reaction 2        NaHCO₂

Reaction 3       HC₂H₃O₂

Reaction 4        HC₂H₃O₂

_{Data Table 2}

                          Volume of 5%            Mass of HC₂H₃O₂                                            Moles of HC₂H₃O₂

                          Vinegar (mL)

Reaction 1        5.0                                        0.10                                                      0.004

Reaction 2        5.0                                        0.20                                                      0.004

Reaction 3       5.0                                        0.35                                                     0.004

Reaction 4        5.0                                        0.50                                                     0.004

Data Table 1

  Mass of NaHCO₃(g)                        Moles of NaHCO₃

Reaction 1     0.10                                                      0.001

Reaction 2     0.20                                                      0.002

Reaction 3    0.35                                                     0.004

Reaction 4    0.50                                                     0.005

I am working on these study questions and am having trouble understanding how it all works together. Any help would be greatly appreciated!!

An all equity firm is expected to generate perpetual EBIT of $50 million per year forever. The corporate tax rate is 0% in a fantasy no tax world. The firm has an unlevered (asset or EV) Beta of 1.0. The risk-free rate is 5% and the market risk premium is 6%. The number of outstanding shares is 10 million.

1. Calculate the existing WACC of this all equity or unlevered firm. Calculate the total value of

this all equity firm and the existing share price.

2. The firm decides to replace part of the equity financing with perpetual debt. The firm issues

$100 million of permanent debt at the riskless interest rate of 5%, and repurchases $100 million of equity.

A. Find the new value of the levered firm.
B. Find the new number of shares outstanding, and the new share price.

3. Calculate the new equity Beta, new cost of equity, and new WACC following this capital

structure change. Assume a debt beta of zero.

When an object is falling because of gravity, the following formula can be use to determine the distance that object falls in a specific time period:

d = 1/2 g t*t

The variables in the formula are as follows:

d is the distance in meters

g is 9.8

t is the amount of time, in seconds that the object has been falling.

Design a function called fallingDistance() that accepts an object's falling time (in seconds) as an argument. The function should return the distance, in meters, that the object has fallen during that time interval. Design a program that calls the function in a loop that passes the values 1 through 10 as arguments and displays the return value.

• 5 Falling Distance (5 points)

Seconds         Meters
1.0            4.9
2.0            19.6
3.0            44.1
4.0            78.4
5.0            122.5
6.0            176.4
7.0              240.10000000000002
8.0            313.6
9.0            396.90000000000003
10.0              490.0

A prime number is a number that is only evenly divided by itself and 1. For example, the number 5 is a prime because it can only be evenly divided by 1 and 5. The number 6, however, is not prime because it can be divided evenly by 1, 2, 3, and 6.

1. You lend $900 to a friend who promises to pay you $250 at the end of each of the next 4 years.

a. Draw a timeline from your perspective.

b. If you can reliably earn 4% per year, what is the net present value (NPV) of the loan?

2. You own a perpetual preferred stock issued by Goldman Sachs. If the GS preferred pays a dividend of $.80 per year and today’s market rate for this preferred is 3.0% per year, what is its current market price?

3. If the dividend of the preferred stock described in Q #2 is scheduled to increase 1.0% per year, what is its current market price?

4. You won the New York Get Rich Quick Lottery, and you must decide if you should take a LUMP sum of $25 million now or an ANNUITY of $2,000,000 per year for 20 years. a. If you can reliably earn 3% per year, which option is better? b. If you can reliably earn 6% per year, which option is better?

5. An APR reflects __________ interest only; but an EAR includes _________ interest.

The role of Voltage Sensitive Na⁺ Channels (VSSC in neuron signaling) is:             

a) Initiation of depolarization   

b) propagation of depolarization       

c) space from an axonal membrane of a neuron to dendrite membrane of next neuron                

d) release of neurotransmitter

ATP production during aerobic respiration is by which mechanism:       

a) substrate level phosphorylation   

b) oxidative-phosphorylation  

c) both substrate-level and oxidative-phosphorylation  

d) This depends upon the temperature

e) this depends upon the pH

ATP production during glycolysis is by which mechanism:

a) substrate-level phosphorylation   

b) oxidative-phosphorylation  

c) both substrate-level  and oxidative-phosphorylation  

d) this depends upon the temperature

e) this depends upon the pH

Which is not a postulate of cell theory:

a) all life is made of cells

b) heredity is controlled by genes

c) all cells come from pre-existing cells   

d) all cells are microscopic  

If a molecule has a molecular weight (mw) of 3,685 daltons (Da), then how many grams are required to make 1.0 mole:

a)  3,685 g   

b) 368.5 g   

c) 36.85 g    

d) 3.7 g