View Full Version : capacitor problem, easy but just can't seem to get it
supermenscher
Jun29-04, 01:19 PM
A 0.40E-6F and 0.70E-6F capacitor are connected in series to a 12 V battery. Calculate the potential difference and charge on each capacitor.
I know this problem is really easy, but I just can't seem to get it started. How do you find the potential difference. Can someone help me out?
A 0.40E-6F and 0.70E-6F capacitor are connected in series to a 12 V battery. Calculate the potential difference and charge on each capacitor.
I know this problem is really easy, but I just can't seem to get it started. How do you find the potential difference. Can someone help me out?V = Q/C. You know the total voltage and total capacitance (I believe capacitors in series add up like resistors in parallel), and so you can calculate the total charge. Since they are in series, I would think that the charge on both capacitors would be the same, so you've got the charge values you need. Now, apply the V = Q/C equation again on each capacitor individually to get the voltage across each one, and you're done.
supermenscher
Jun30-04, 10:30 AM
Thank you very much for your explaination, but it is still confusing me...do you think you could show me the first couple steps of what you mean to get me started...that would really help me out.
A 0.40E-6F and 0.70E-6F capacitor are connected in series to a 12 V battery. Calculate the potential difference and charge on each capacitor.
I know this problem is really easy, but I just can't seem to get it started. How do you find the potential difference. Can someone help me out?Let C_1 and C_2 represent the capacitances of the capacitors. Let C_t represent the capacitance of both capacitors in series.
C_t = (\frac{1}{C_1} + \frac{1}{C_2})^{-1}
V_t = \frac{Q_t}{C_t}
Q_t = V_tC_t
Q_1 = Q_2 = Q_t
V_1 = \frac{Q_1}{C_1}
V_2 = \frac{Q_2}{C_2}
The above is exactly what I said before, but in equation form. As long as I'm not mistaken, lines 1 and 4 are correct, and so you'll get the right answers. If I am mistaken, and one of them are wrong, you'll probably want to find the right equations somewhere for capacitance and charge in series.
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