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Please help prove the 3 equations in the second attached image.

Question 4 Ira pure ("intrìnsic") semiconductor material is heated, the thermal energy liberates some valence-band electrons into the conduction band. The vacancies left behind in the valence band are called holes: Conduction band Valence band Increasing electron energy otoso0l alavelnortbele tnpDy If an electrical voltage is applied across the heated semiconducting substance, with positive on the left and negative on the right, what will this do to the energy bands, and how will this affect both the electrons and the holes? |

r) For the following figure, plot 1 is for (intrinsic / extrinsic) and plot 2 is for (intrinsic / extrinsic) semiconductor. semiconductor, Conduction electron concentration (102¹/m³) 2 O 0 200 400 600 T(K)

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5. A voltage source produces a "Triangle" wave and is connected to a series diode and resistor circuit as shown. D1 KH D V1 #1 V R1 R Using the nominal piecewise linear model for a diode, determine from the following possibilities the graph that best represents the voltage across the resistor? (Delete those that do not apply) (Blue curve VR, dashed curve V1). Then determine which graph best represents the voltage across the diode.

D1 Vsecondary Vfiltered D2 V1 sine Rload I 120 VAC @ 60 Hz D3 10:1 - D4 Figure 1: Bridge Rectifier Voltage Regulator Circuit The filter capacitor C, is recharged on every half-cycle of V secondary. Given: Rioad = 100 N VDiodes = 0.7 V Vi is given in RMS What is the minimum value of capacitor C, required such that Vrutered does not drop below 8 V?

How do you calculate a resulting VCPD voltage if you have a Kelvin probe energy diagram and Kelvin probe's work function in 7 eV? Let's say we have two metals: one metal has a work function of 7 eV and another metal has a work function of 3.2 eV. How would you calculate the VCPD voltage?

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Which statement(s) is(are) true for photomultiplier tubes?I     Photomultiplier tubes are very sensitive detectors, amplifying the photoelectron current by approximately 1 million.II     Emitted photoelectrons are accelerated toward positively charged electrodes called dynodes.III     Electrons strike the dynode with a kinetic energy less than the original emitted kinetic energy.IV     For each electron striking a dynode, more than one electron is knocked free. The additional electrons are accelerated toward the next dynode in the detector where amplification is repeated. Select one: a. II, III, and IV b. II c. I, II, and IV d. II and III e. I and IV