A 1.0-F and a 2.0-Fcapacitor are connected in series across a 3.0-V battery. Wha
ID: 1680173 • Letter: A
Question
A 1.0-F and a 2.0-Fcapacitor are connected in series across a 3.0-V battery. What isthe voltage across the 1.0-F capacitor?Will rate for complete answers! Thanks!
Solution is not 4.5, answer choices are 1.0V, 2.0V, 3.0V, or0V
The solution below, I believe, forgot to take the reciprocalof Ceq. It should be 1/1.5F= .66667
then, Q= (.6667)(3.0V)= 2C ------>V = 2.0C/1F= 2V <---this is mysolution
Am I correct?
Will rate for complete answers! Thanks!
Solution is not 4.5, answer choices are 1.0V, 2.0V, 3.0V, or0V
The solution below, I believe, forgot to take the reciprocalof Ceq. It should be 1/1.5F= .66667
then, Q= (.6667)(3.0V)= 2C ------>V = 2.0C/1F= 2V <---this is mysolution
Am I correct?
Explanation / Answer
Since the capacitors are in series, the netcapacitance=C1C2/(C1+C2) =1*2/(1+2) =2/3F =0.66F Remember, when the capacitors are in series, the charge(q) isconstant. we know that q=CTV =0.66*3 =2C Therefore, using q=CV for the 1 capacitor, 2=1*V V=2V you are correct.
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