Derive from the first principles an expression for the
reflection coefficient in term of
surge impedance...
Derive from the first principles an expression for the
reflection coefficient in term of
surge impedance of incident line, Z1 and the transmitted line,
Z2.
From first principles, derive the expression for the measurement
of time as observed from a reference inertial frame S' moving at a
relativistic speed v in the x direction to another inertial frame
S
Working from first principles, derive an expression for the
stagnation temperature of a perfect gas, in terms of flight
velocity, specific heat at constant pressure and the ambient
temperature.
Working from first principles, derive an expression for the
efficiency of an Otto Cycle engine in terms of compression ratio.
Sketch the P-V diagram for this cycle and annotate it using the
same station numbers used in your derivation. State why the
efficiency must be less than that of the Carnot Cycle.
Working from first principles, derive an expression for the
nozzle exit velocity for an ideal ramjet in terms of: the flight
velocity; the peak-post-combustor stagnation temperature; the
ambient stagnation temperature. State any assumptions you use.
Please show working out and describe what is
done
Derive formula in terms of respective
paraneters
Derive the Boltzmann distribution from first principles
(maximizing weight). Why is the Boltzmann distribution so
important, explain what it is and how it is used.
Starting from the first and second law of thermodynamics, derive
the fundamental equation for A in its natural variables. a) Derive
the Maxwell relation that s related to this equation. b) Show that
for df= gdx + hdy we have an exact equation if:
a) Derive the short-term cost function from the production
function.
b) What is the relationship between cost and supply function?
c) Show that when profit is maximized, a company chooses the
production quantity, where marginal revenue and marginal cost are
the same.
d) Show the market result in the case of a monopoly with deadweight
loss that goes with it.