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# Electromagnetism and Optics PHYS 132

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This 0 page Class Notes was uploaded by Chaim Borer on Sunday November 1, 2015. The Class Notes belongs to PHYS 132 at Colorado Mesa University taught by David Collins in Fall. Since its upload, it has received 10 views. For similar materials see /class/233298/phys-132-colorado-mesa-university in Physics 2 at Colorado Mesa University.

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Date Created: 11/01/15

7 March 2008 Phys 132 Spring 2008 Question 1 A parallel plate capacitor is connected to a Which of the following is true battery The distance between the plates is increased 1 The charge on the capacitor decreases lnltlal Final 2 The charge on the capacitor increases l 3 The charge on the capacitor stays the same AV M I Typeset by FoilTEX 7 March 2008 Phys 132 Spring 2008 Question 2 A parallel plate capacitor is connected to a battery and allowed to charge The capacitor is then disconnected without any charge leaking from the capacitor and the distance between the plates is doubled lnitial Final AV39 M M Typeset by FoilTEX Which of the following is true regarding the potential difference across the plates 1 AVafter Z 4Avbefore 2 AVafter Z ZAVbefore 3 AVafter Avbefore 1 4 Alvalfter E A fbefore 1 5 AVafter Z Avbefore 27 March 2009 Phys 132 Spring 2009 Question 1 A current flows through wire in the indicated Which of the following describes the direction direction The wire is placed in the indicated of the force exerted on the wire magnetic field 1 T if the charges are positive and i if the X M charges are negative 2 Til the Charges are positive and T if the charges are negative 3 i if the charges are positive and T if the charges are negative 4 i if the charges are positive and i if the charges are negative or 5 Not enough infonone of the above Typeset by FoilTEX 1 27 March 2009 Phys 132 Spring 2009 Question 2 Wires of different lengths carrying the same Which of the following is true regarding the currents are placed in identical magnetic magnitudes of the magnetic forces exerted fields on the wires CaseB gtltgtltgtltgtltgtltgtltgtlt 1FAZFBa gtltgtltgtltgtltI gtltgtlt 2 FAltFBor X X gtIK X X 3 FA gt FE X X X X X X X X X X X X X X X X X Typeset by FoilTEX 2 27 March 2009 Phys 132 Spring 2009 Question 3 A rectangular loop is placed into the Which choose one of the following is true indicated magnetic field gt 1 There is a net force on the loop 2 There is a net torque on the loop 3 There is a net force and a net torque on theloop 4 There is neither a net force nor a net torque on the loop Typeset by FoilTEX 3 27 March 2009 A rectangular XXXXXXXX loop indicated magnetic field is placed Typeset by FoilTEX x gt x gtltgtltgtltgtltgtlt xggxxxxx gtlt gtltgtltgtltgtltgtlt x lt gtltgtltgtltgtltgtltgtltgtlt Phys 132 Spring 2009 Question 4 into the X X X X X X X Which choose one of the following is true 1 There is a net force on the loop 2 There is a net torque on the loop 3 There is a net force and a net torque on theloop 4 There is neither a net force nor a net torque on the loop Phys 132 Fall 2008 Electromagnetism and Optics Class Exercise 3 Transformers A transformer consists of two solenoids that are connected via an iron core A current is applied through the left hand solenoid the p ma39ry coil and the eld that is produced by this is transmitted through the iron core This induces an EMF in the right hand solenoid the secondary coil A ll l The eld throughout the iron core is uniform in magnitude and the core is constructed so that it has the same cross sectional area on the left as on the right The following exercise will illustrate the basic ideas behind which the transformer works 1 Questions Suppose that the length of each coil is L7 their cross sectional areas are both A and the primary coils has Np turns and the secondary coil has Np turns A rst qualitative attempt to describe this is as follows a Suppose that the potential difference across the primary coil7 AVp7 varies with time Using the notions of magnetic ux and Faraday s law describe qualitatively how this can produce a potential difference across the secondary coil AVE Indicate how you could attempt to use this to determine an expression for AVE given AVP b Suppose that the current through the primary coil is as illustrated 0 00 1 1 1 1 1 1 1 t in s 0 l 2 3 4 5 6 Determine an expression for AVp for the case where Np 507 L 050 n17 A 30 x 10 2 m2 and NS 20 c Describe why this is an incomplete picture of the currents and the potential differences across the coils Hint If AVS umies then what e ect does this have on the current in the primary coil A simpler and more complete approach is as follows d At any instant7 how is the ux through one loop of the primary related to the ux through one loop of the secondary How is related for one loop of the primary related to that for one loop of the secondary e Provide a relationship between the EMF per loop of the primary7 E and AVP Repeat this for the secondary coil Use these and the results of the preVious part to determine a relationship between AVE and AVP f Suppose that AVp 120V and N17 50 Determine the number of coils in the secondary that are required to yield AV 220 V 6 May 2009 Double slit interference pattern for two slits of negligible width I max cos2 where 7rd 2 39 0 A sm Typeset by FoilTEX Phys 132 Spring 2009 Double Slit Pattern Intensity 1 f A o 6 May 2009 Phys 132 Spring 2009 Single Slit Pattern Single slit interference pattern 2 I max sun 04 IntenSIty 04 where i 0 77a 04 Z 7 Sin Typeset by FoiITEX 2 Phys 132 Spring 2009 6 May 2009 Double Slit Pattern Width Included interference slit Double pattern width including features where sin 0 and sin 0 Typeset by FoiITEX Phys 132 Spring 2009 6 May 2009 Double Slit Pattern Width Included interference slit Double width including pattern features where 0 n 1 S and sin 0 Typeset by FoiITEX Typeset by FoiITEX sin 0 and sin 0 where Double pattern width slit with a na I I OWGI interference Double Slit Pattern Narrower Width 6 May 2009 Phys 132 Spring 2009 6 May 2009 Phys 132 Spring 2009 Question 1 A diffraction grating is illuminated with yellow light at normal incidence The pattern seen on a screen behind the grating consists of three yellow spots one at 0 straight through and one each at i45 Typeset by FoilTEX You now add red light of equal intensity coming in the same direction as the yellow light The new pattern consists of 1 red spots at 0 and 45 2 yellow spots at 0 and 45 3 orange spots at 0 and 45 4 an orange spot at 0 yellow spots at 45 and red spots slightly farther out 5 an orange spot at 0 yellow spots at 45 and red spots slightly closer in 2 April 2008 Phys 132 Spring 2008 Question 1 Consider the section of a circular arc which Which of the following best represents the carries a uniform current direction of the magnetic field produced by the dark segment at the origin l I 1 2 l 3 Out of the boardpage 4 Into the boardpage Typeset by FoiITEX 1 2 April 2008 Phys 132 Spring 2008 Question 2 Two current carrying wires are placed near 1 Clockwise each other The straight wire is infinitely long The currents are such that the net magnetic field at the center of the loop is zero I Typeset by FoilTEX 2 2 Counter clockwise 3 Current is zero 2 April 2008 Phys 132 Spring 2008 Question 3 Two current carrying wires are placed near Which of the following best represents the each other The vertical wire is infinitely long direction of the force exerted by the vertical I wire on the horizontal wire 1 gt ID C 2 lt 3 T I I 4 l 5 Out of the pageboard Typeset by FoilTEX 3 2 April 2008 Phys 132 Spring 2008 Question 4 Three wires each perpendicular to the board Rank the wires in order of the magnitudes of carry currents of identical magnitudes The the net magnetic force on each distance between adjacent wires are equal A B C 1FAZFBZFC O O 8 2FAFCgtFB0 3 FCZFAgtFBZO 4 FBgtFCZFA 5 FBgtFCgtFA Typeset by FoilTEX 4 26 March 2008 Phys 132 Spring 2008 Question 1 Identical positively charged particles move Ranking the cases in order of magnitude of through identical magnetic fields with magnetic force which is correct identical speeds as as illustrated 1ABC Case A Case B Case C A 2CgtAgtB 3BgtAgtC gt gt gt B 4AgtCgtB gt gt 5AgtBC Typeset by FoilTEX 1 26 March 2008 Phys 132 Spring 2008 Question 2 An alpha particle two protons and two Which of the following best represents the neutrons is fired into the gap between two direction of the force exerted by the magnets closely spaced magnets as illustrated on the alpha particle while it is between them 39l 1 lt 2 gt 3 Into the board 4 Out of the board Typeset by FoilTEX 2 26 March 2008 Phys 132 Spring 2008 Question 3 Two positively charged particles each move with constant speed in a region in which a constant magnetic field points directly out of the boardscreen Their trajectories are indicated below Typeset by FoilTEX Which best describes the relationship between the particle masses 1 mA mg 2 mA lt 7713 3 mA gt me 4 None of the abovenot enough info 25 March 2009 Phys 132 Spring 2009 Question 1 Identical positively charged particles move Ranking the cases in order of magnitude of through identical magnetic fields with magnetic force which is correct identical speeds as as illustrated 1ABC CaseA CaseB CaseC A 2CgtAgtB 3 BgtAgtC E C 0 C 4AgtCgtB gt gt 5AgtBC Typeset by FoilTEX 1 25 March 2009 Phys 132 Spring 2009 Question 2 An alpha particle two protons and two Which of the following best represents the neutrons is fired into the gap between two direction of the force exerted by the magnets closely spaced magnets as illustrated on the alpha particle while it is between them 391 1 lt 2 gt 3 Into the board 4 Out of the board Typeset by FoilTEX 2 25 March 2009 Phys 132 Spring 2009 Question 3 Two positively charged particles each move with constant speed in a region in which a constant magnetic field points directly out of the boardscreen Their trajectories are indicated below Typeset by FoilTEX Which best describes the relationship between the particle masses 1 mA mg 2 mA lt 7713 3 mA gt 7713 4 None of the abovenot enough info 25 March 2009 Phys 132 Spring 2009 Question 4 A charged particle is fired into a Which of the following is true as time passes region in which there is a uniform but time varying magnetic field That is 1 The particle moves with constant speed in a at any instant the magnetic field is circle the same at all points but as time 2 The particle moves With constant speed In a passes the magnetic field vectors all spiral of decreasing radius change in the same way The particle is fired into the fied perpendicmarto 3 The particle moves with constant speed in a the field The direction of the field sp39ral Of 39ncreasmg radlus39 remains COnStant bUt its Strength 4 The particle moves with increasing speed in a increases as time passes circle 5 The particle moves with increasing speed in a spiral of decreasing radius Typeset by FoilTEX 4 28 April 2008 Phys 132 Spring 2008 Question 1 Two light waves propagate through different combinations of media as illustrated EZ In vacuum WAA lvvv In glass and vacuum Ez Typeset by FoilTEX Determine the index of refraction of the glass nglass 05 nglass 067 nglass 1 nglass 15 nglass 133 28 April 2008 Phys 132 Spring 2008 Question 2 Two light waves propagate through different combinations of media as illustrated EZ In vacuum WAAf lvvv In glass and vacuum Ez Typeset by FoilTEX The phase difference between the emerging waves is 1 0 7T 2 2 7T 37T 4 2 5 27T 28 April 2008 Phys 132 Spring 2008 Question 3 Two light waves propagate through different The phase difference between the emerging combinations of media as illustrated waves is EZ ln vacuum m r i V v 37T In glass and vacuum 4 3 77 2 527T Typeset by FoilTEX 3

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