Electrical Work Done by Supply Transferring 0.80 nC Charge

AI Thread Summary
The discussion centers on calculating the electrical work done by a supply transferring a charge of 0.80 nC across a capacitor at a potential difference of 4.0 V, using the formula W=QV. Clarification is provided that QV is used instead of 0.5QV because the work done is based on the total charge moved. The charges stored on the capacitor plates are identified as +0.8 nC on the top plate and -0.8 nC on the bottom plate, with the positive plate connected to the supply's positive terminal. When a second uncharged capacitor is connected, it receives 0.2 nC from the first, leading to confusion about the voltage across the second capacitor due to series connections. The work done by the supply is noted to differ from the energy stored in the capacitors.
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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?
 
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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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