Question

Let us consider how much energy it takes to charge a parallel plate capacitor starting from no charge up to a total charge of +Q on the top plate and -Q on the bottom plate. (Part a) The way we will do this is to start with an uncharged capacitor and carry a little amount of charge +dq from the bottom plate up to the top plate. We do this until we have a total charge of +q on the top plate and -q on the bottom plate. At this point in the process, what is the potential difference between these plates? Express your answer in terms of q and C. ?V = Energy Stored in a Capacitor - Part 2 (Part b) The next little amount of charge dq that we try to bring up from the negative to the positive plate with therefore be traveling across this potential difference and we will need to do a certain amount of work to bring that charge up across that potential difference. What is the amount of work we need to do in order to bring this new little amount of charge dq up to the positive plate? Write your answer in terms of dq, q, and C? dU = Energy Stored in a Capacitor - Part 3 (Part c) If we add up all this work, we can figure out the total amount of energy needed to charge up this capacitor (or equivalently how much energy is stored in the capacitor). If we start with no charge on the capacitor and end up with a total charge of +Q on the top and -Q on the bottom, how much energy is stored in the capacitor? Write your answer in terms of Q and C. U =

          Let us consider how much energy it takes to charge a parallel plate capacitor starting from no charge up to a total charge of +Q on the top plate and -Q on the bottom plate.

(Part a) The way we will do this is to start with an uncharged capacitor and carry a little amount of charge +dq from the bottom plate up to the top plate. We do this until we have a total charge of +q on the top plate and -q on the bottom plate. At this point in the process, what is the potential difference between these plates? Express your answer in terms of q and C.

?V =

Energy Stored in a Capacitor - Part 2

(Part b) The next little amount of charge dq that we try to bring up from the negative to the positive plate with therefore be traveling across this potential difference and we will need to do a certain amount of work to bring that charge up across that potential difference.

What is the amount of work we need to do in order to bring this new little amount of charge dq up to the positive plate? Write your answer in terms of dq, q, and C?

dU =

Energy Stored in a Capacitor - Part 3

(Part c) If we add up all this work, we can figure out the total amount of energy needed to charge up this capacitor (or equivalently how much energy is stored in the capacitor). If we start with no charge on the capacitor and end up with a total charge of +Q on the top and -Q on the bottom, how much energy is stored in the capacitor? Write your answer in terms of Q and C.

U =

Let us consider how much energy it takes to charge a parallel plate capacitor starting from no charge up to a total charge of +Q on the top plate and -Q on the bottom plate.

(Part a) The way we will do this is to start with an uncharged capacitor and carry a little amount of charge +dq from the bottom plate up to the top plate. We do this until we have a total charge of +q on the top plate and -q on the bottom plate. At this point in the process, what is the potential difference between these plates? Express your answer in terms of q and C.

?V =

Energy Stored in a Capacitor - Part 2

(Part b) The next little amount of charge dq that we try to bring up from the negative to the positive plate with therefore be traveling across this potential difference and we will need to do a certain amount of work to bring that charge up across that potential difference.

What is the amount of work we need to do in order to bring this new little amount of charge dq up to the positive plate? Write your answer in terms of dq, q, and C?

dU =

Energy Stored in a Capacitor - Part 3

(Part c) If we add up all this work, we can figure out the total amount of energy needed to charge up this capacitor (or equivalently how much energy is stored in the capacitor). If we start with no charge on the capacitor and end up with a total charge of +Q on the top and -Q on the bottom, how much energy is stored in the capacitor? Write your answer in terms of Q and C.

U =

Added by Martha B.

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