What is the equivalent capacitance for the circuit of the figure? (Figure 1)

Part A

What is the equivalent capacitance for the circuit of the figure? (Figure 1)
Express your answer to two significant figures and include the appropriate units.

Part B

How much charge flows through the battery as the capacitors are being charged?
Express your answer to two significant figures and include the appropriate units.

Solutions

Expert Solution

The battery is connected to a series-parallel combination
of capacitors.

The two rightmost parallel capacitances add directly:

Ceq = C1 + C2 = 2 + 1.5 = 3.5 uF

Ceq is in series with the leftmost capacitance of 4 uF. and series capacitances are combined as follows:

Ceq' = 1/(1/C + 1/Ceq) = 1/(1/4 + 1/3.5) = 4*3.5/(4 + 3.5)

Ceq'= 14/7.5 = 1.867 uF

Finally, the charge supplied by the battery is:

Q = Ceq'V = 1.867*12 = 22.4x10^-6 coulombs

Dr. OWL answered 3 years ago

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