D eflection equation substitute this expression into

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Unformatted text preview: on plates, V plates . U se conservation of energy to express the 28 DEFLECTION OF AN ELECTRON BEAM AND VELOCITY – 1302Lab1Prob5 e lectron’s initial velocity in term s of V acc . d eflection equation. Substitute this expression into your H int: The change in the electric potential energy of an electr on m oving from one plate to another is the voltage d ifference betw een the tw o plates tim es the electron's charge. What assum ptions m u st you m ake to calculate the electron’s initial velocity? 7. W rite an equation relating Vplates t o the electric field betw een the plates, and substitute it into your d eflection equation. Your final d eflection equation should involve only quantities that can be m easured in lab or found in the textbook or in the append ix. H int: the electric field betw een the plates equals V plates d ivid ed by the d istance betw een the plates. PRED ICTION D eterm ine the physics task from the problem statem ent, and then in one or a few sentences, equations, d raw ings, and / or graphs, m ake a clear and concise pred iction that solves the task. (H int: H ow can you m ake a qualitative prediction w ith as m uch d etail as possible?) EXPLORATION WARN IN G: You w ill be w orking w ith equipm ent that generates large electric v oltages. Im proper use can cause painful bu rns . To avoid d anger, the p ow er m ust b e turned o ff a nd you m ust w ait a t least one m inute before any w ires are d isconnected from or connected to the pow er supply. N ever touch the cond ucting m etal of any w ire. Follow the d irections in the a ppend ix for connecting the pow er supply to the CRT. Check to see that the connections from the pow er supply to the high voltage and the filam ent heater are correct, before y ou turn the pow er supply on. Apply betw een 250 and 500 Volts across the anod e and cathod e. After a m om ent, you should observe a spot on the screen that can be ad ju sted w ith the knob labeled “Focus”. If your connections are correct and the spot still d oesn’t appear, inform your lab instructor. TAKIN G EXTREME CARE!, change the voltage across the accelerating plates, and d eterm ine the range of values for w hich the electrons have enough energy to prod uce a spot on the screen. Changing this voltage changes the velocity of the electrons as they enter the d eflection plates. What is the range of initial electron velocities correspond ing to this range of accelerating voltages? Which of these values w ill give you the largest d eflection w hen you later apply an electric field betw een the d eflection plates? 29 DEFLECTION OF AN ELECTRON BEAM AND VELOCITY – 1302Lab1Prob5 Before you turn on the electric field betw een the d eflection plates, m ake a note of the position of the spot on the screen. The d eflections you m easure w ill be in relation to this point. Make sure not to change the position of the CRT since external field s m ay affect the position of the spot. N ow apply a voltage across one set of d eflection plates, noting how the electron beam m oves across the screen as the voltage is increased . Find a voltage across the d eflection plates that allow s the d eflection for the entire range of initial electron velocities to be m easured as accurately as possible. Devise a m easuring schem e to record the position of the beam spot. Be sure you have established the zero d eflection point of the beam spot. Write d ow n your m easurem ent plan. H ow w ill you d eterm ine the stren gth of the electric field betw een the d eflection plates? H ow w ill you d eterm ine the initial velocity of the electrons? What quantities w ill you hold constant for this m easurem ent? H ow m any m easurem ents d o you need ? M EASUREMEN T M easure the d eflection of the beam spot as you vary the initial velocity of the electrons in the beam , keeping other param eters constant. At least tw o people should m ake a m easurem ent at each p oint, so you can estim ate m easurem ent uncertainty. N ote: Be sure to record your measurements with the appropriate number of significant figures and with your estimated uncertainty. Otherwise, the data is virtually meaningless. If necessary, refer to the suggested appendix material to help determine these. A N ALYSIS G raph the m easured d eflection of the electron beam as a function of initial electron speed . Disp lay uncertainties on your graph. CON CLUSION D id your d ata agree w ith your pred iction of how the electron beam d eflection w ould d epend on the initial electron velocity? If not, w hy? H ow d oes the d eflection of the electron beam vary w ith initial electron velocity? State your results in the m ost general term s supported by your d ata. 30 CHECK YOUR UN D ERSTAN D IN G LAB 1: ELECTRIC FIELD S AN D FORCES 1. For each of the charge configurations below , m ap the electric field . Assum e that each object is m ad e of metal and that the trays are filled w ith w ater. + + - - + - - - + - - + 2. For a CRT w ith the sam e plates and electron gun as you used in la...
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