-----Problem below-----
Using the Lorenz gauge calculate the scalar and vector
potentials generated by a point...
-----Problem below-----
Using the Lorenz gauge calculate the scalar and vector
potentials generated by a point charge moving along trajectory r_0
(t) and find electric and magnetic field generated by this
particle.
Show that the following two vector fields are conservative and
find associated scalar potentials.
(a) F = 2ρsin(2φ) ρ + 2ρcos(2φ) φ
+ k
(b) F = (2r cos2 φ + sinθ cosφ) r + cosθ cosφ
θ − [r(sin(2φ)/sinθ) + sinφ]
φ
1.Find the derivative of the product between a scalar function
and a vector function using the product formula.
2. Find the volume of an irregular solid using triple
integration, the first integral should have at least one limit with
variables.
3. Determine the moment of inertia of an irregular solid using
triple integration. the first integral should have at least one
limit with variables.
4. Find the angle between two lines using dot product. the two
lines should not pass...
1.Find the derivative of the product between a scalar function
and a vector function using the product formula.
2. Find the volume of an irregular solid using triple
integration, the first integral should have at least one limit with
variables.
3. Determine the moment of inertia of an irregular solid using
triple integration. the first integral should have at least one
limit with variables.
4. Find the angle between two lines using dot product. the two
lines should not pass...
a) ln(x2 + y2)
calculate the Laplacian ∇2 of the scalar field using
both cartesian and cylindrical coordinate
systems
b) (x2 + y2 +
z2)-1/2
calculate the Laplacian ∇2 of the scalar field using
both cartesian and spherical coordinate
systems
Using an interneuron as your point of
reference, describe the difference between excitatory
graded potentials and action
potentials. Include the following in your answer for
EACH type of potential.
A) WHERE the potential is generated in the neuron
B) WHAT triggers the generation of the potential (“kind of
stimulus” and type of ion channels that open/close)
C) DISTANCE traveled (short/long) and INTENSITY over that
distance (constant/decremental)
Problem A)
The standard reduction potentials for the following reactions
are given below.
Pyruvate + 2H+ + 2e- → Lactate E∘ = -0.190 V
NAD+ + 2H+ + 2e- → NADH/H+ E∘ = -0.320V.
Calculate △G∘ for the overall spontaneous reaction making use of
the relationship between △E∘ and △G∘.
Problem B)
Calculate the △G∘ʹ for the reaction given the equilibrium
constant is 1.97 and the physiological relevant temperature is 37
∘C.
fructose-6-phosphate → glucose-6-phosphate
Problem C)
Calculate the ratio...
Using the standard reduction potentials listed in Appendix E in
the textbook, calculate the equilibrium constant for each of the
following reactions at 298 K.
You may want to reference (Pages 868 - 871) Section 20.5 while
completing this problem.
Part B
3Ce4+(aq)+Bi(s)+H2O(l)→3Ce3+(aq)+BiO+(aq)+2H+(aq)
Express the equilibrium constant to two significant digits.
part C.
N2H5+(aq)+4Fe(CN)63−(aq)→N2(g)+5H+(aq)+4Fe(CN)64−(aq)
Express the equilibrium constant to two significant digits.
1. Using the standard reduction potentials listed in Appendix E
in the textbook, calculate the equilibrium constant for each of the
following reactions at 298 K.
A.
Fe(s)+Ni2+(aq)?Fe2+(aq)+Ni(s)
B.Co(s)+2H+(aq)?Co2+(aq)+H2(g)
C.10Br?(aq)+2MnO?4(aq)+16H+(aq)?2Mn2+(aq)+8H2O(l)+5Br2(l)
2. If the equilibrium constant for a two-electron redox reaction
at 298 K is 1.8×10?4, calculate the corresponding
?G? and E?cel under standard conditions.
2A. Express your answer using two significant figures.
Delta G=kJ
2B. Express your answer using two significant figures. E
cell= V
What is the electric field generated at point M by the two
charges shown below? Q1 is 0.19mC and Q2 is 0.74mC: the two charges
are a distance 34.3m from each other and the point M is located
17.7m from Q1.