Semiconductors: derive the Continuity Equation related to the Haynes-Shockley experiment.
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Semiconductors: derive the Continuity Equation related to the Haynes-Shockley experiment.
semiconductor: in The Haynes-Shockley experiment, when d(d=x) becomes larger, how will △n change and why?
Question 2 (25 Points) Following figure is obtained from a Haynes-Shockley experiment at roomtempecolector the excitation is applied at t0 s. The spacing between excitation (or emiten contacts is given as d = 2.5 × 10-2 cm. Assume T-300 K. or emitter) and collector E- 150 Vlem 0.8 0.6 04 0.2 5x10"7 0 0x100 2x10-7 3x10-7 t (S) 4x10" 1x10", a) (10 points) Using E-75 V/em curve, determine the drift velocity and mobility b) (15 points) Using both curves, determine...
In addition, derive the "wave equation" for an incompressible
fluid. Use the continuity equation and the linearized euler
equation.
Linearized Euler:
A flow is incompressible if a fluid element does not change its density as the element moves. From Problem 54.1, this means (7p/dt) u . ρ-0. (a) Show that for an incompressible fluid the equation of continuity reduces to V -u -0. (b) Write Euler's equation for the flow of an incompressible fluid. (c) What is c for an...
Using the fundamental principle of conservation of mass, derive the continuity equation in 1D Saint-Venant equation.
1.) Continuity Equation (3 Pkt.) Demonstrate that it is possible to write the continuity equation in the form dt Show that this is equal to the form: dt Derive a diagnostic equation for the vertical wind component w(z) with the assumption of large scale movements.
9. From the continuity eq.. derive J 2m i (.A#-A,4)
9. From the continuity eq.. derive J 2m i (.A#-A,4)
Derive a discretized form of the generic integral form of the continuity, momentum and energy equations obtained in Prob 2.2. The discretized form is the essense of the finite volume approach. ( Prob 2.2: Derive the momentum and energy equations for a viscous flow in integral form. Show that all three conservation equations--continuity momentum, and energy-can be put in a single generic integral form.)
3.15 High injection condition The Shockley equation for a pn junction under forward bias, as shown in Figure 3.16 (a), was derived by assuming low (weak) injection conditions, that is Pn(0) ะ Дрп(0) « nno Or Nd on the n-side. Show that when the injection is no longer weak, that is when p(0) oN, the applied voltage V reaches Vsi (strong injection) given by SI where Vh is the thermal voltage (kgT/e). Calculate V, and Vsi for a Si pn...
PROBLEM 5 Starting with the integral equation of motion, Ot derive the differential form of the equation. Hint: To do this, look at how we derived the differential form of the mass continuity equation. There are parallels, although thisis more complicated. Note that youil ave to apply the gradien identt. fHp di -
Drift, Diffusion and Recombination A trace of the minority carrier concentration in a Hayes-Shockley experiment was measured as shown below. The conditions of the experiment were: N= 2x1015 cm-2 E 300 V/cm 1 trace: 106 sec, Apa(max) 2.1296x1016 cm3 and occurs at position x 0.1489 cm Problem 5) Determine the hole mobility a) 496.4 cm2/(V sec) b) 8693 cm'/(V-sec) c) 140.0 cm2/(Vsec) d) 1137.1 cm/(V-sec) e) None of the above Problem 6) Determine the recombination lifetime a) 6.0x10- sec b)...