Chapter 23: Q. 23 (page 654)

A parallel-plate capacitor is formed from two $6.0$ - $c m$ -diameter electrodes spaced $2.0 m m$ apart. The electric field strength inside the capacitor is $1.0 \times 10^{6} N / C$ . What is the charge (in $n C$ ) on each electrode?

Short Answer

Expert verified

One electrode has $25 n C$ charge and other one has $- 25 n C$ charge.

Step by step solution

Introduction

Electric field $E$ inside circuit is: $1 \times 10^{6} N / C$ . The plate of a circuit has a diameter of $6 c m$ and they are $20 c m$ distance apart.

Formula used

Due to the area capacitor, there is an electric field. $A$ and charge $Q$

$E = \frac{Q}{ϵ_{o} A}$ ........... $(1)$ $(1)$

Explanation

Radius of disk is

$r = \frac{6 c m}{2}$

$= 3 c m$

Now sum charge from equation $(1)$

$Q = E ϵ_{o} A$

$= (1 \times 10^{6} N / C) (8.85 \times 10^{- 12} C^{2} / N \cdot m^{2}) (π (0.03 m)^{2})$

$= 25 n C$

Find the charge on one electrode

The charge on one electrode is $25 n C$ , whereas the other is $- 25 n C$ .

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A parallel-plate capacitor is formed from two $6.0$ - $c m$ -diameter electrodes spaced $2.0 m m$ apart. The electric field strength inside the capacitor is $1.0 \times 10^{6} N / C$ . What is the charge (in $n C$ ) on each electrode?

Short Answer

Step by step solution

Introduction

Explanation

Find the charge on one electrode

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A parallel-plate capacitor is formed from two 6.0-cm-diameter electrodes spaced 2.0mmapart. The electric field strength inside the capacitor is 1.0×106N/C. What is the charge (in nC ) on each electrode?

Short Answer

Step by step solution

Introduction

Explanation

Find the charge on one electrode

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

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Study anywhere. Anytime. Across all devices.

A parallel-plate capacitor is formed from two $6.0$ - $c m$ -diameter electrodes spaced $2.0 m m$ apart. The electric field strength inside the capacitor is $1.0 \times 10^{6} N / C$ . What is the charge (in $n C$ ) on each electrode?