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Chapter 26: Q. 28 (page 738)

What is the equivalent capacitance of the three capacitors in Figure Ex26.28?

Short Answer

Expert verified

The equivalent capacitance of the three capacitors is25渭F.

Step by step solution

01

Given information

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

02

Capacitance of capacitor

The capacitance of the capacitors with capacitance 20渭Fand 30渭Fconnected in parallel will be given as

c12=11C1+1C2=1C1+C2C1C2=C1C2C1+C2

Putting the values we get

C12=2路10-5路3路10-55路10-s=12渭F

Now, the capacitance of the circuit is the capacitance of C12in parallel with C3=13渭F. That will be

C=C12+C3=12+13=25渭F

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Most popular questions from this chapter

Capacitors C1=10渭Fand C2=20渭Fare 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?

A vacuum-insulated parallel-plate capacitor with plate separation dhas capacitance C0. What is the capacitance if an insulator with dielectric constant 魏and thickness d/2is slipped between the electrodes without changing the plate separation?

Charge is uniformly distributed with charge density \rho inside Calc a very long cylinder of radius R. Find the potential difference between the surface and the axis of the cylinder.

The parallel-plate capacitor in Figure Q26.11 is connected to a battery having potential difference 鈭�Vbat. Without breaking any of the connections, insulating handles are used to increase the plate separation to 2d.

a. Does the potential difference 鈭�VCchange as the separation increases? If so, by what factor? If not, why not?

b. Does the capacitance change? If so, by what factor? If not, why not?

c. Does the capacitor charge Qchange? If so, by what factor? If not, why not?

Derive Equation 26.33 for the induced surface charge density on the dielectric in a capacitor.
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