Physics 155 Midterm



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This exam consists of 15 short/medium answer questions. Questions are either worth 10, 15 or 20 points. There are a total of 200 points available on the exam.

Write Legibly and Carefully - Sloppily prepared exams will receive a point deduction. Take your time on this exam, there is no reason to hurry through it.

In all of the questions below, please confine your answers to the space that is provided for that question. For any numerical question, be sure to show your work, don't just write down an answer.

10 Point Questions

  1. You have just purchased a new digital camera. The specifications tell you that you have 10 Megapixels and that each pixel has a depth of 32 bits. How much storage, in units of Megabytes is required for one image.

 

(10,000,000 x 32 bits)/8 = 40 megs

  1. Explain the basic concept of a "switched information network"

 

Basic idea is that information is routed via physically different carriers (i.e. the Pony express model); information is not routed along one single route with one single carrier.

 

  1. Explain the basic concept of the "bit" and what a bit is designed to represent:

 

A bit is a discrete piece of information. It represents a physical state (heads/tails; voltage ON; Voltage OFF; electron present; no electron present). Various protocols can then be built to assemble bits into different kinds of information.

  1. Explain the origin of shot noise in an electrical circuit.

Fluctuations in the number density of carriers (electrons) usually as result of current injection in some part of the overall circuit. Also occurs for weak signal situations as some electrons are just lost.



  1. Provide brief definitions of the concepts of network latency and packet loss.

 

Network latency = physical transit time between packets sent and acknowledgement of receipt

Packet loss = drop out of packets in the bit stream which requires a retransmittal of the whole packet

  1. Explain why it is necessary to dope silicon in order to improve its conductivity.

 

Key points:

a) at room temperature, silicon has a very low density of free charges and thus can't really carry a current

b) phosphorous has 5 valence electrons but only 4 are needed for silicon; therefore when you introduce phosphorous you automatically get a free electron and the free charge density is increased.

  1. Explain the basic difference between an AND logic gate and an OR logic gate, in the case where each gate has 2 inputs:

 

AND: 1 true state; 3 false states; both inputs have to be high (1) in order to ouput a high state (1 or ON)

OR: 1 false state; 3 true states; if either or both inputs is high then the gate returns a high state:

  1. Examine the RC Circuit that is shown below. What is the time constant of this circuit and how much current will flow through the circuit 8 seconds after the switch is turned off.

RxC = 8 seconds; current = 10 microamps (V/R); after 16 second current has fallen by 10*e-2

15 Point Questions

  1. Explain what random and systematic errors are as applied to measurements. What techniques can be used to minimize their effects on the integrity of the data?

Random Errors: Increases variability around the mean but does not change the mean.

Systematic Error: Occurs from a bias in the measurement system or a calibration error and thus alters the mean value of the measurement

Random errors can be overcome (minimized) by using a more accurate instrument or by taking lots of data. Systematic error can be overcome by doing independent calibration checks of the device.

  1. Explain how the photoelectric effect shows that light can behave like a particle.

      

Two main points:

1. Ejected electrons occur as a function of frequency of the light; not its intensity. This implies there is a threshold energy required for the ejection of electrons since energy of a photon depends on its frequency. (This crucial point was left out by many responses)

2. Ejected electrons occur without a time delay; if energy was in a wave, there would be time needed for the device to absorb that energy.



  1.  Explain the basic operating principles of a transistor and its overall purpose in an electronic circuit:

Operating principles:  source, gate, drain à voltage applied to gate allows current to flow from source to drain (this part was left out of most responses)

Overall purpose:  A transistor acts like a “valve” and controls the rate and flow of information (e.g. electrons) through a circuit.  

  1. Explain how the "depletion zone" forms in a semi-conductor material and how its presence serves to make a PN junction function as a diode.

 

Generally well done:

Basic answer:  In a PN junction the N side has electrons and the P side has holes (+ charge).  When electrons flow across the depletion zone they combine with the holes and charge vanishes.  To make more electrons cross the depletion zone requires extra energy.  Thus the depletion zone serves as a barrier to natural electron transport (as it blocks the flow of charge) meaning that the PN junction now can serve as a diode in which the flow of electricity can be directed one way.

20 Point Questions

  1. Examine the Circuits below and show all your work.

 

    • What is the total current in circuit I

V = R * I; I = 12/4 = 3 amps

 

    • What is the total resistance in circuit II and III

II = series = 1 + 2 +3 = 6

III = parallel: 1/R = 1/1 + 1/2 +1/3 = 11/6; R = 6/11 Ohms




    • What is the voltage drop across the top resistor in Circuit II?

V = R * I; V = 12; R =6 so I=2 for the whole circuit

At top resistor V = R*I; R=1; I=2 so V = 2

 

 

 

 

  1.  What is meant by the valence band and the conduction band in metals and/or semi-conductors?  Using those concepts of energy bands,  explain what makes one material a conductor and another material a semi-conductor

Valence band refers to electrons that are available to make connections with other atoms to create a lattice structure.

Conduction band refers to electrons which are free of any atoms and therefore can flow through the material.

Metals have lots of the conduction band states full because of low band gap energy between valence and conduction state and the fact that each atom has a lot of electrons. So it’s easy for many of those electrons to fill the conduction band energy states to make that material a good conductor.

A semi-conductor has a fairly large band gap energy (compared to a conductor) so that it’s difficult to give the device enough energy to cause the electrons to hope from the valence band to the conductor band. The fact that hops are possible under some conditions (usually via thermal fluctuations) means the material is a semi-conductor.

In general, the density of free electrons in a semi-conductor is at least 106 times smaller than a conductor.

  1.  Explain in general terms some of the obstacles that need to be overcome so that the commercial world can move from discovery physics  (i.e. the photoelectric effect, the quantum nature of charge, the properties of semi-conductors) to the manufacturing of real devices that apply this physics.

Four key things to mention

o        Need to make devices small so that requires high resolution lithography

o        Need to find the right kinds of materials with the right properties

o        Need to fabricate materials in a very clean environment

o        Need to have at least some R&D vision and investment