A battery is attached across several different capacitors connected in series. W

Question

A battery is attached across several different capacitors connected in series. Which of the following statements are true?

1-The potential difference across each capacitor must be the same.

2-The largest potential difference appears across the capacitor having the largest capacitance.

3-All the capacitors have the same charge, and the equivalent capacitance is less than the capacitance of any of the individual capacitors in the group.

4-The capacitor with the largest capacitance carries the largest charge.

5-All the capacitors have the same charge, and the equivalent capacitance is greater than any of the individual capacitors in the group.

6-The largest potential difference appears across the capacitor with the smallest capacitance.

Explanation / Answer

Here,

for connection in series

the charge on all the capacitors will be same

as Q = C * V

V = Q/C

the equivalent capacitance is given as

1/Ceq = 1/C1 + 1/C2 + ...

the correct statements are

3-All the capacitors have the same charge, and the equivalent capacitance is less than the capacitance of any of the individual capacitors in the group.

6-The largest potential difference appears across the capacitor with the smallest capacitance.

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