Physics 212 Exam I Sample Question Bank 2008 Multiple Choice ...

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Physics 212 Exam I Sample Question Bank 2008long, separated by 1.00 cm and have a potential difference of 2.00kV.a) What is the speed of the electrons as they leave the accelerating potential?b) What is the electric field between the deflecting plates?c) What is the electric force on the electrons?d) How long are the electrons between the plates? (time, in seconds)e) What is the vertical component of velocity as the electrons leave the deflecting plates?f) What is the final direction of the electron beam? (i.e. direction of final electron velocity)A proton (q=+e, m=1.66x10 -27 kg) is accelerated from rest across a potential difference of 20kV.a) What is the kinetic energy (in electron volts) of the proton as it leaves the accelerator?b) What is this energy in Joules?c) What is the speed of the proton ?The proton now reaches a region with a uniform electric field produced by parallel conducting platesseparated by 1cm with a potential difference of 2000V between them, producing a upward directed electric fieldwhich extends 5 cm in the horizontal direction.d) What is the electric field magnitude in the region between the plates?e) How long is the proton in this region?f) What is the acceleration of the proton while in this region?g) What are the x and y components of velocity of the proton as it leaves the region?5 cm"proton" gunpEA line of charge Q lies on the y axis and extends from −a. to +a. (total length of 2a ). We wish to derive anexpression for the electric field for a point on the x-axis. From the symmetry of the configuration, the netElectric field along the x-axis should only have an x component. A typical point is indicated on the diagrambelow. We will consider the contributions of each (infinitesimal) section of the line of charge of where thelength of the segment is dy.a) Determine the charge per unit length λ .b) Determine the charge of a piece of length dy.(for c-f express all geometric factors in terms of x and y only!)c) Determine the distance from the piece of charge to the field point.d) Determine the magnitude of the electric field due to this piece.e) Determine the x component of the electric field due to this piece.f) Since the contribution to the x component of the electric field will be the same for every such section of thering, set up but do not evaluate the integral which will add up all such components to find the net component ofthe electric (i.e. add up all contributions along the axis, dy at a time, to account for the length of charge).
Physics 212 Exam I Sample Question Bank 2008+ adyyPxE xE− aTwo oppositely charged point charges +/- q lie on the y axis at +a and -a as shown. Express ALL answers interms of x, a, q and k.a) What is the magnitude of the electric field +qcontribution from the top charge?y=aIndicate the direction of this contributionon the diagram.ac) What is the x-component of this contribution tothe electreic field?d) What is the y-component of this contribution tothe electreic field?xe) What is the magnitude of the electric fieldcontribution from the bottom charge?fieldpointIndicate the direction of this contributionon the diagram.f) Indicate the direction of this contribution on the -qdiagram below.y=-ag) What is the x-component of this contributionto the electreic field?h) What is the y-component of this contribution tothe electreic field?i) What is the net x-component?j) What is the net y-component?k) sketch a graph of the net y componentA ring of of charge Q lies in the y-z plane and has a radius of a. We wish to derive an expression for theelectric field for a point on the x-axis. From the symetry of the configuration, the net Electric field along the xaxis should only have an x component. A typical point is indicated on the diagram below. We will consider thecontributions of each (infinitesimal) section of the ring of charge of where the length of the segment is ds.a) What is the charge per unit length λ?b) What is the charge of a piece of length ds.(for c-e express all geometric factors in terms of x and a only!)c) What is the distance from the piece of charge to the field point?d) What is the magnitude of the electric field due to this piece?e) What is the x component of the electric field due to this piece?
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Physics 212 Exam I Sample Question Bank 2008 Multiple Choice ...

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