exactly how much work does the electrical field perform in moving a -7.7 `muC` fee from ground come a suggest where potential is +55 V higher?
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The potential difference between the 2 points, or voltage `Delta V,`is identified as the occupational it would take to move a hopeful unit charge from the very first point come the second, against the electric force listed by the field. Note that the work-related in this definition is done by some external agent,...

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The potential difference between the two points, or voltage `Delta V,`is identified as the work it would take to move a optimistic unit charge from the very first point to the second, versus the electrical force detailed by the field. Note that the work-related in this definition is excellent by some outside agent, not the electric field.

The work-related it takes come move any type of charge v potential difference `DeltaV` is then

`W=qDeltaV`

The job-related done by the electric field is the opposite of this quantity:

`W_field=-qDeltaV`

Plugging in the values of charge and voltage offered in the problem, the work done by the electrical field is

`W_field=-(-7.7muC)(5.5V)=42.35muJ`

Note that the work-related done through the field is positive. This makes sense since a an adverse charge put in the electrical field will relocate towards the allude with higher potential, so the its potential energy will decrease.

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