1) What is the equivalent capacitance of the network between points a and b? 2)

Question

1) What is the equivalent capacitance of the network between points a and b?

2) What is the charge on capacitor C1?

3) What is the charge on capacitor C3?

In the figure (Figure 1). G-G-8 2 F and C,-G-G-42 AF. The applied potential is Vab 210 V What is the equivalent capacitance of the network between points a and b? Express your answer using two significant figures. Submit Request Answer Part B Complete previous part(s) Part C Complete previous part(s) Return to Assignment Provide Feedback Figure 1 of 1 C3 4

Explanation / Answer

here

c3 and c4 are in sereis connection

c34 = c3*c4/c3+c4 = 4.2*4.2*10^-12/(4.2+4.2)*10^-6 = 2.1*10^-6 F

c2 and c34 are in parallel connection

c234 = c2+c34 = 4.2*10^-6+2.1*10^-6 = 6.3*10^-6 F

c1,c234 and c5 arfe in sereis connection

1/cab = 1/c1+1/c234+1/c5

1/cab = 1/8.2*10^-6+1/6.3*10^-6+1/8.2*10^-6

cab = 2.48*10^-6 F

2) from the relation

q = cv

qab = 2.48*10^-6*210 = 520.8*10^-6 C

in a series connection charge is same

so q1 = q234 = q5 = 520.8*10^-6 C

charge on c1 is q1 = 520.8*10^-6 C

3) v234 = q234/c234 = 520.8/6.3 = 82.7 V

in parallel connection voltage is same

so v2 = v34 = 82.7 V

charge on c34 is

q34 = 2.1*10^-6*82.7 = 173.67*10^-6 C

here also c3 and c4 are in sereis connection

so q3 = q4 = 173.67*10^-6 C

charge on c3 is 173.67*10^-6 C

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