Week 4 Day 1 Concept Question Potential Difference Correct answer 2 Consider two oppositely uniform charged parallel plates The electric potential difference V B V A between the points A and B that lie outside the plates is negative Remember that E points from higher potential positive to lower potential negative If the charged particle moves in the direction of E s is positive If you put a charged particle q in an electric vector eld F qE When a charged particle q charges position in an electric potential scalar eld then the charge in potential energy is U q V Electric Field and Potential A point like charged particle q creates a eld and potential around it Use super position for continuous source of charge Electric Field and Potential Effects Electric eld and Potential of a Ring Q 2 R V 0 r z r V z Using Gauss s Law to nd Electric Potential from Electric Field If the charge distribution has enough symmetry to use Gauss s law to calculate the electric eld then calculate the electric potential difference between two points A and B using V B V A E s Group Problem Potential Difference of Two Oppositely Charged Plates Two parallel in nite non conducting plates lying in the xy plane are separated by a distance d The upper plate located at z d 2 is uniformly positively charged with surface charge density The lower plate located at z d 2 is uniformly negatively charged with surface charge density Find the electric potential difference V d V d Worked Example Spherical Shells These two spherical shells have equal but opposite charge Find V r V for the following regions b r a r b 0 r a Group Problem Coaxial Cylinders A very long thin uniformly charged cylindrical shell length h and radius a carrying a positive charge Q is surrounded by a thin uniformly charged cylindrical shell length h and radius b with negative charge Q as shown in the gure You may ignore edge effects Find V b V a STOPPED HERE IN CLASS Concept Question E from V Correct answer Consider the point like charged object arranged in the gure below The electric potential difference between the point P and in nity is V P kQ a From that can you derive E P Group Problem E from V Consider two point like charged objects with charge Q located at the origin and Q located at the point a 0 a Find the electric potential V x y at the point P located at x y b Find the x and y components of the electric eld at the point P using Concept Question E from V Correct answer 2 Which is true about the graph of potential V X E is positive and E is negative Concept Question E from V Correct answer 3 The magnitude of the electric eld for x 0 is smaller than for x 0
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