Chapter_29_lect_pls - Chapter 29 Electric Potential Work...

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Chapter 29 Electric Potential
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A particle with mass m and positive charge q is between two capacitor plates separated by d and an electric field E between the plates as show. a) If the particle is initially on plate a. How much work is required to move it to plate b? b) If the particle is now released from plate b, how fast is it going when it reaches plate a? d = 5.2 cm; E = 2.3 × 10 4 N/C; m = 1.67 × 10 −27 kg; q = 1.60 × 10 −19 C What is the work done by the electric field on the particle moving a → b? cos W d Fs θ = = ∆= ∆ F s  plate a plate b F d s U initial U final Work done by the Electric Force on a Particle and Conservation of Energy
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Clicker question A particle with mass m and positive charge q is between two capacitor plates separated by d and an electric field E between the plates as shown. If the particle is initially on plate a. The work done by the electric field to move it to plate b is: (d = 5.2 cm; E = 2.3 × 10 4 N/C; m = 1.67 × 10 −27 kg; q = 1.60 × 10 −19 C) A. zero B. greater than zero C. less than zero D. the same as the work done by the field in moving the particle from plate b to plate a E. none of the above plate a plate b F d s U initial U final cos W d Fs θ = = ∆= ∆ F s 
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A particle with mass m and positive charge q is between two capacitor plates separated by d and an electric field E between the plates as show. a) If the particle is initially on plate a. How much work is required to move it to plate b? b) If the particle is now released from plate b, how fast is it going when it reaches plate a? d = 5.2 cm; E = 2.3 × 10 4 N/C; m = 1.67 × 10 −27 kg; q = 1.60 × 10 −19 C What is the work done by the electric field on the particle moving a → b? The force and displacement are in opposite directions, so the work is negative. ( θ = 180°) cos W d Fs θ = = ∆= ∆ F s  F s ( )( )( ) 19 4 1 2 16 1.60 10 C 2.3 10 N C 5.2 10 m 1.9136 10 J W Fd qEd −− = −= = −× × × = × elec cos W q d q qE s = = ∆= Es E s 16 1.9 10 J W = units: recall 1 J = 1 N m plate a plate b F d s U initial U final Work done by the Electric Force on a Particle and Conservation of Energy
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Note the analogy with gravity:
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A particle with mass m and positive charge q is between two capacitor plates separated by d and an electric field E between the plates as show. a) If the particle is initially on plate a. How much work is required to move it to plate b? b) If the particle is now released from plate b, how fast is it going when it reaches plate a? d = 5.2 cm; E = 2.3 × 10 4 N/C; m = 1.67 × 10 −27 kg; q = 1.60 × 10 −19 C The electric force is an conservative force, thus we can use the idea of potential energy. The work done on the particle in part a is stored as electrical potential energy in the system . Use conservation of energy to find the speed of the particle when it reaches plate a.
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This note was uploaded on 09/26/2011 for the course PHYS 2524 taught by Professor Staff during the Fall '11 term at The University of Oklahoma.

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Chapter_29_lect_pls - Chapter 29 Electric Potential Work...

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