A 0.50- F and a 1.4- F capacitor ( C 1 and C 2, respectively) are connected in s
ID: 1632146 • Letter: A
Question
A 0.50-F and a 1.4-F capacitor (C1 and C2, respectively) are connected in series to a 7.0-Vbattery.
a. Calculate the potential difference across each capacitor.
Express your answers using two significant figures separated by a comma.
b. Calculate the charge on each capasitor.
Express your answers using two significant figures separated by a comma.
c. Calculate the potential difference across each capacitor assuming the two capacitors are in parallel.
Express your answers using two significant figures separated by a comma.
d. Calculate the charge on each capasitor assuming the two capacitors are in parallel.
Express your answers using two significant figures separated by a comma.
Explanation / Answer
a) When the capacitors are in series, the equivalent capacitance =C= C1C2/(C1+C2)=(0.5*1.4)/(0.5+1.4)=0.368 micro Farad
Charges on each capacitor = Q=0.368*7 = 2.576*10-6 Coulomb
Potential difference across C1 = (2.576*10-6)/(0.5*10-6)=5.152 V
Potentail difference across C2 = (2.576*10-6)/(1.4*10-6)=1.84V
b) as calcultaed above, charge on each capacitor = 2.576*10-6 Coulomb
c)When the capacitors are in parallel, potential drop across each capacitor=supply voltage=7 V
d)Charge on C1 = (0.5*10-6)*7 = 3.5*10-6 Coulomb
Charge on C2 = (1.4*10-6)*7 = 9.8*10-6 Coulomb
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