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Chapter 19: Q48PE (page 698)

What charge is stored in the capacitor in Example 19.8?

Short Answer

Expert verified

The amount of charge stored in a capacitor when 3.00脳103V is applied to it, is Q=26.6渭颁 .

Step by step solution

01

Given data

Area of plates (A) = 1.00 m2

Separation between plates (d) = 1.00 mm

Voltage between the plates (V) = 3.00 x 103V

02

Concept Introduction

The ability of any capacitor to store energy in the form of electric field is known as Capacitance. The capacitanceC is given as 鈥�

C=Q螖痴.....................(1)

Here Q is the charge accumulated at the plates and 鈭�Vis the potential difference between the plates.

03

Calculation for Charge Stored

The charge stored in the capacitor is found by solving Equation (1) for Q 鈥�

Q=C脳螖痴

Entering the values for C and 鈭�V, it is obtained 鈥�

Q=(8.85脳10-9F)(3.00脳103V)=26.6脳10-6C=(26.6脳10-6C)(106渭颁1C)=26.6渭颁

Therefore, the charge stored is Q=26.6渭颁.

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Most popular questions from this chapter

Sketch the equipotential lines in the vicinity of two opposite charges, where the negative charge is three times as great in magnitude as the positive. See Figure \({\rm{19}}{\rm{.28}}\) for a similar situation. Indicate the direction of increasing potential.

Water has a large dielectric constant, but it is rarely used in capacitors. Explain why.

What happens to the energy stored in a capacitor connected to a battery when a dielectric is inserted? Was work done in the process?

Figure \({\rm{19}}{\rm{.28}}\) shows the electric field lines near two charges \(q1\) and \(q2\) , the first having a magnitude four times that of the second. Sketch the equipotential lines for these two charges, and indicate the direction of increasing potential.

Can different equipotential lines cross? Explain.
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