Write down Maxwell's equation in three different unit systems. (SI,
Gaussian, Heaviside)
Write down Maxwell's equation in three different unit systems. (SI,
Gaussian, Heaviside)
Solutions
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[Solve this problem in Gaussian units and not in SI units.]
Write and discuss the equation of motion for one electron of
mass me bound to the origin by an elastic force of constant Kel and
under the action of a frictional force of coefficient γ and
proportional to the velocity.
a) Write down the state equation of an ideal gas. This equation
can be utilized to derive any one of the macroscopic thermodynamic
properties, p1, T1, or V1, of an ideal gas in state “1” when the
other two properties and the gas’ conditions at some initial state
“0” are known.
b) What is the ideal gas law? Express the law separately in
terms of the amount of substance, the gas’ molar mass, the gas’
molar volume, and the gas’...
Question 4. Please answer all three parts to this question. a.
Write down the quantity equation, in both the level and the rates
of change form. What do each of the terms represent? b. If the Bank
of Canada wishes to maintain inflation at 2% per year, how can the
bank use the quantity equation to achieve this goal? What
assumption is made about the velocity of money? c. Does the Bank of
Canada target the rate of growth of...
What is the difference between static and kinetic friction.
Define both, write their SI unit and dimension. Write down the
mathematical statement (formula) that allows us to calculate the
force of friction. Explain each term with its unit. Let’s say
you’re dragging a 50 kg rubber box on wetconcrete. How do you
calculate the force of friction on this box?
9. For the differential equation: ?′′ + 2?′ + 5? = ?(?)
(a) Write down the auxiliary polynomial associated to this
differential equation and find the roots of the auxiliary
polynomial.
(b) Find a basis for the real solution set of the associated
homogeneous differential equation ?′′ + 2?′ + 5? = 0.
(c) For each ?(?) that follows, write down the trial particular
solution to ?′′ + 2?′ + 5? = ?(?), with undetermined coefficients.
Do NOT solve the...
5.
(a) Write down the Bernoulli’s equation and the continuity
equation.
(b) The entry and exit mouths of an uneven water pipe have areas
of 0.2 m2 and 0.05 m2, respectively. If water enters the pipe at a
speed of 5m/s find the speed of water exiting the
pipe.
The Hill equation is used to describe cooperativity:
a) Write down the Hill Equation for mutant hemoglobin protein
that has a Hill coefficient of 2.
b) If the P50 of this Hb is 30 torr then what is the
fractional binding at 20 torr of O2?
c)Draw a Hill plot for this protein