An ionized helium particle (+2e) is situated at the origin (0, 0). How much work is done in taking an electron from x = 3 cm to x = 6 cm?  - Zigya
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An ionized helium particle (+2e) is situated at the origin (0, 0). How much work is done in taking an electron from x = 3 cm to x = 6 cm? 


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Work space done comma space straight U space equals space fraction numerator 1 over denominator 4 πε subscript straight o end fraction space fraction numerator straight q subscript 1 straight q subscript 2 over denominator straight r squared end fraction

straight U subscript 1 space space equals space fraction numerator negative 1 over denominator 4 πε subscript straight o end fraction. space fraction numerator 2 straight e squared over denominator 3 end fraction

straight U subscript 2 space equals space fraction numerator negative 1 over denominator 4 πε subscript straight o end fraction. space fraction numerator 2 straight e squared over denominator 6 end fraction

straight U space equals space straight U subscript 2 space minus space straight U subscript 1

space space space space equals space fraction numerator 2 straight e squared over denominator 4 πε subscript straight o end fraction open parentheses 1 over 6 space minus space 1 third close parentheses

space space space space equals space minus space fraction numerator 2 straight e squared over denominator 4 πε subscript straight o end fraction open parentheses fraction numerator 1 minus 2 over denominator 6 end fraction close parentheses

space space space equals space minus space fraction numerator 2 straight e squared over denominator 4 πε subscript straight o end fraction open parentheses fraction numerator negative 1 over denominator 6 end fraction close parentheses

space space space equals space fraction numerator 9 space straight x space 10 to the power of 9 space straight x space 2 space straight x space left parenthesis 1.6 space straight x space 10 to the power of negative 19 end exponent right parenthesis squared over denominator 6 end fraction

space space space space equals space 7.68 space straight x space 10 to the power of negative 29 end exponent space straight J

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