Consta Learning Goal Calculate the potential difference when the electric field

Question

Consta Learning Goal Calculate the potential difference when the electric field is non-uniform, and consider the effect on an electron moving in the region. As shown below, three large, thin, uniformly charged plates are arranged so that there are two adjacent regions of uniform electric field. Choose the coordinate system so that the origin is at the center of the central plate. Location A is ( 0 0 0> m and location B is (02.0, m The electric fied 001 h the value·57500 V and g2is 350.0 Vim Part A-Calculate the potential difference Consider a path from A to B. Along this path, what is the change in electric potential? ValueUnits Submit uest Answer

Explanation / Answer

location A (-0.4,0,0), and B is (0.2,0,0)m

E1 = (575 ,0,0) v/m , E2 = (-350,0,0)V/m

Part A

we know V = E*d

V2 - V1 = E2*d - E1*d

DV = (-350*0.3)-(575*(-0.4)) = V = 125 V

Part B

electron mass m = 9.1*10^-31 kg

the change in kinetic energy is DK.e = DV*q

Dk.e = 125*1.6*10^-19 J = 2*10^-17 J

Part C

minimum kinetic energy at A is  

0.5*m*v^2 = (E1-E2)*d*q = (925)(0.6)*1.6*10^-19 J = 8.88*10^-17 J

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