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Chapter 26: Q. 27 (page 738)

What is the equivalent capacitance of the three capacitors in Figure EX26.27?

Short Answer

Expert verified

The equivalent capacitance of the three capacitors is7.5μF.

Step by step solution

01

Given information

We need to find that the equivalent capacitance of thre capacitors.

02

Simplify 

Consider that the capacitance of the two capacitors connected in parallel, to the left-bottom: their common capacitance will be

Cb=20+10=30μF.

From this, our problem is simplified to a 30μFcapacitor connected in series with a 7.5μFone. That means, the total capacitance is

C=30·10-6·10·10-630·10-6+10·10-6=7.5μF

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Most popular questions from this chapter

The current that charges a capacitor transfers energy that is stored in the capacitor's electric field. Consider a 2.0μFcapacitor, initially uncharged, that is storing energy at a constant 200Wrate. What is the capacitor voltage role="math" localid="1648645414866" 2.0μs after charging begins?

You need a capacitance of 50mF, but you don’t happen to have a 50mFcapacitor. You do have a 75mFcapacitor. What additional capacitor do you need to produce a total capacitance of 50mF? Should you join the two capacitors in parallel or in series?

A typical cell has a membrane potential of -70mV, meaning that the potential inside the cell is 70mV less than the potential outside due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer surface. This effectively makes the cell wall a charged capacitor. Because a cell's diameter is much larger than the wall thickness, it is reasonable to ignore the curvature of the cell and think of it as a parallel-plate capacitor. How much energy is stored in the electric field of a 50μmdiameter cell with a 7.0nmthick cell wall whose dielectric constant is 9.0?

Capacitors C1=10μFand C2=20μFare each charged to 10V, then disconnected from the battery without changing the charge on the capacitor plates. The two capacitors are then connected in parallel, with the positive plate of C1connected to the negative plate of C2and vice versa. Afterward, what are the charge on and the potential difference across each capacitor?

What is the potential difference between xi=10cm and xf=30cm in the uniform electric field Ex=1000V/m?
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