Question

Question 20 pts The figure below shows a system of four capacitors, where the potential difference across ab is 50.0 V. How much charge is stored by this combination of capacitors? 5.0 ?F 10.0 uF 9.0 ?F ?b 8.0 pF O174 HC 1600 HC 1104 HC 500 C 650 HC

Answer 1

Remember:

For parallel combination

Ceq = C1 + C2 + C3 +...............

for series combination

1/Ceq = 1/C1 + 1/C2 + 1/C3 + ............

for 2 capacitors in series it will be

Ceq = C1*C2/(C1+C2)

Using this Information:

In given circuit 5 and 8 uF are in parallel, So

Cp = 5 + 8 = 13 uF

Now 10, 9, and 13 uF are in series, So

1/Ceq = 1/10 + 1/9 + 1/13

Ceq = (1/10 +1/9 + 1/13)^-1 = 3.47 uF = 3.5 uF

Now we know that

Qeq = Ceq*V

Using given values:

Qeq = 3.5uF*50 V = 175 uC

Correct option is A.

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