A virus particle which has a 3uC charge is placed in a non-uniform Electric Field. The potential of this electric field is given by the function V = 2x106(x2-x+1) Volts. Assume x=0 as the starting point (a) What is the Electric field at the point ( 50,0) where the distance is measured in cm.  (b)It is known that it requires 10J of energy to vaporize the virus particle. This energy can be generated by moving the virus in this electric field. What distance does the virus need to be moved to achieve this? (c ) How much potential difference is required to make this happen.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
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A virus particle which has a 3uC charge is placed in a non-uniform Electric
Field. The potential of this electric field is given by the function
V = 2x106(x2-x+1) Volts. Assume x=0 as the starting point
(a) What is the Electric field at the point ( 50,0) where the distance is
measured in cm. 
(b)It is known that it requires 10J of energy to vaporize the virus particle. This energy can be generated by moving the virus in this electric field. What distance does the virus need to be moved to achieve this?
(c ) How much potential difference is required to make this happen.

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