Along an infinite lane, we calculate the electric field along each distribution, and we add all distribution up to calculate electric field along a infinite long line.
We use calculus to calculate the electric field of a point respect to ring. The method and logic is same as we did for a infinite long line.
This is the detail about how we set up and approach to the problem. It doesn't matter how the point around the ring change, the key is to find the correct range of your distance distribution, and we need to care about if the angle will change.
We perform a calculation of electric field at a point along a bar. Calculation of a bar is much easier that rings. These types of question show the importance of math skills in solving physic problem.
We draw three types of equal potential surface in three different types of electric field. Constant electric field, single charge and charge system.
In this carbon paper, we measure the distance and potential difference. By moving a distance away, we got new potential difference each time. We will need this distance and potential difference to calculate the work done from the electric field.
This is the data we collect, and we used those data calculate the work need to be done to move 1C charge by a certain distance in the electric field. This method is useful if the electric field is not constant.
Summarize: When we deal with electric that is not caused by a single charge, we need to use calculus to perform the determination. Also, when we deal with work done in a non constant electric field, we cannt just use w = Eqd, but applying potential difference: W = Vdq
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