Using identities for time derivatives and del operators, show that the solution of the inhomogeneous wave equation for the potential V given by the Lorentz gauge (the expression containing an integral over volume), does indeed satisfy the inhomogeneous wave equation.

A small generator produces 2.4 V of peak emf. If it contains a 0.050-T permanent magnet and 96 wire loops, each of which is roughly a 6.0-cm diameter circle, at what frequency does the generator rotate?

In a differential amplifier, the noninverting input is 3 cos (600t + 45◦) mV and the inverting input is 4cos (600t - 45◦) mV. The output is

vo = 3cos (600t + 45◦) + 4.004cos (600t - 45◦) V. The CMRR is_____ dB.

Briefly describe the following concepts/principles/items, use appropriate diagrams/equations/formulas/examples if needed:

                i.          Gaussian curve

               ii.          Coefficient of variation

              iii.          Confident interval

             iv. Q test

               v.          Dialysis

Electrons accelerated by a potential difference of 13.15 V pass through a gas of hydrogen atoms at room temperature. Calculate the wavelength of light emitted with the longest possible wavelength.

Calculate the wavelength of light emitted with the shortest possible wavelength.

Calculate the pH of the cathode compartment solution if the cell emf at 298 K is measured to be 0.600 V when [Zn2+]= 0.21 M and PH2= 0.87 atm .

Express answer using two decimal places.

Thank you!

When [Ag+] = 1.05 M, the observed cell potential at 298K for an electrochemical cell with the reaction shown below is 3.268 V. What is the Mg2+ concentration in this cell?

2Ag+(aq) + Mg(s)-->2Ag(s) + Mg2+(aq)

Please offer a well reasoned and articulate discussion on a case relevant to the chapter under study which includes the rationale for the decision in same along with the ramifications thereof for business and society.

Gucci America, Inc v. Wang Huoqing

Calculate ΔG∘rxn and K for each of the following reactions. Part A The reaction of Cr3+(aq) and Cr(s) to form Cr2+(aq). [The reduction potential of Cr2+(aq) to Cr(s) is -0.91 V.] Calculate ΔG∘rxn.

Prove or disprove: two consecutive rotations about two different axis are commutative. That is, is RuRv = RvRu? (Hint: For simplicity, you can assume that the axis u is the x-axis and v is the y-axis without loss of generality).