1). A 0.50- ? F and a 1.4- ? F capacitor ( C 1 and C 2, respectively) are connec

ID: 1319347 • Letter: 1

Question

1). A 0.50-?F and a 1.4-?F capacitor (C1 and C2, respectively) are connected in series to a 21-V battery.

Calculate the potential difference across each capacitor.

Calculate the charge on each capasitor.

Calculate the potential difference across each capacitor assuming the two capacitors are in parallel

Calculate the charge on each capacitor assuming the two capacitors are in parallel

2) What is the Ka for a 0.1971 M hydrocyanic acid solution, HCN, if it had a hydronium ion concentration of 9.8275e-6M?

HCN(aq) + H2O(l)

1) in series

Qnet = Cnet*V = [(C1*C2)/(C1+C2)]*V = (0.5*1.4)*21/(0.5+1.4) =7.74 uC

potential difference across C1 is V1 = Qnet/C1 = (7.74(10^-6)/(0.5*10^-6) = 15.48 V

V2 = 21-15.48 = 5.52 V

charge on each capacitor is Q1 = Q2 = Qnet = 7.74*10^-6 C

in parallel

Cp = C1+C2 = 0.5+1.4 = 1.0 uF

potential differbce across each capacitor is V1 = V2 = 21 V

charge on C1 = C1*V=0.5*10^-6*21 = 10.5 uC

charge on C2 is Q2 = 1.4*10^-6*21 = 29.4 uC

2) apply KVL to the circuit

(-i*2)+18-(6.6*i)-12-(1*i) = 0

9.6*i = 6

i = 6/9.6 = 0.625 A

Va+(1*0.675)+12= Vb

Va-Vb = 12.675 V

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