A 0.50 mu F and a 1.4 mu F capacitor (C_1 and C_2, respectively) are connected i

Question

A 0.50 mu F and a 1.4 mu F capacitor (C_1 and C_2, respectively) are connected in series to a 9.0 V battery. Calculate the potential difference across each capacitor. Express your answer using two significant figures separated by a comma. Calculate the charge on each capacitor. Express your answer using two significant figures separated by a comma. Calculate the potential difference across each capacitor assuring the two capacitors are in parallel. Express your answer using two significant figures separated by a comma. Calculate the charge on each capacitor assuring the two capacitors are in parallel. Express your answer using two significant figures separated by a comma.

Explanation / Answer

1. The equivalent C =
1/C = 1/0.5 + 1/1.4

c eq = 0.36 micro farads

v = 9V

Q1=Q2= CV= 0.36*9 = 3.24 columbs

v1= Q1/C1 = 3.24/0.5 = 6.48 *10^6 V

v2= Q2/C = 1.4/0.5 = 2.8 * 10^6 V

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3. when they are connected in parallel, V1=V2 = 9V

q1= c1*v1 =0.5*10^-6 *9 = 4.5 x 10^-6 Columbs

q2= c2*v1 =1.4*10^-6 *9 = 12.6 x 10^-6 Columbs

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