Electrical Work Done by Supply Transferring 0.80 nC Charge

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Homework Help Overview

The discussion revolves around the electrical work done by a supply when transferring a charge of 0.80 nC across a capacitor with a potential difference of 4.0 V. Participants explore the relationships between work, charge, and voltage in the context of capacitors and circuit behavior.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula for work done (W=QV) and question why it differs from the energy stored in the capacitor (0.5QV). There is also inquiry into the identification of charge polarities on capacitor plates and the implications of connecting a second capacitor in series.

Discussion Status

Some participants have provided clarifications regarding the charge distribution on capacitor plates and the relationship between work done and energy stored. There is ongoing exploration of the implications of connecting capacitors in series, particularly regarding voltage distribution.

Contextual Notes

Participants are navigating assumptions about the behavior of capacitors in series and the definitions of positive and negative terminals in relation to circuit diagrams.

Masafi
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A capacitor C1 is connected to a supply. When a potential difference of 4.0 V is applied across the capacitor, it stores a charge of 0.80 nC

a) Calculate the electrical work done by the supply as it transfers this charge

The equaton used is W=QV

Why is it QV and not 0.5QV, which is usually used?b) Mark on the diagram above the magnitudes and polarities of the charges stored on the plates of the capacitor

________
l.....l
=C...4V
l_______l

This is what the diagram looks like. Ignore the dots. Its basically a emf on the right and a capacitor in series.

The answer is +0.8 (nC) on top plate and –0.8 (nC) on bottom plate .

How do we know which plate is +/-?

c) With capacitor C1 charged to 4.0 V, the supply is removed and a second, uncharged capacitor C2 is connected in its place.

Capacitor C1 transfers 0.2nC to the plates of capacitor C2. As a result the potential difference across C1 falls to 3.0 V

Draw a graph of charge stored on C2 (y axis) against pd (x axis).

The graph is a straight line from (0,0) to (3 , 0.2)

However, shouldn't the voltage be 1, as there is 3 volts aross C1, and since the capictor are in series, C2 should be 1V to make 4V total?
 
Last edited:
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The work done by the supply is not equal to the energy stored in the capacitor.
b) The plate which is connected to the positive terminal of the power supply will have the positive charge.
 
rl.bhat said:
The work done by the supply is not equal to the energy stored in the capacitor.
b) The plate which is connected to the positive terminal of the power supply will have the positive charge.

a) So for supply W=QV always?

b) is a positive terminal the one where the side touching the wire has a line longer than the one next to it?
 
Yes.
 
rl.bhat said:
Yes.

Thanks.

What about for part (C)?
 

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