Chapter 25: Q. 23 (page 710)

A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm
$1.0 \times 10^{5} V / m$ spacing. The electric field strength inside the capacitor is.
a. What is the potential difference across the capacitor?
b. How much charge is on each plate?

Short Answer

Expert verified

a. the value of electrical potential is 200 V.

b. the charge value on each plate is $6.3 {\times 10}^{- 10} C$

Step by step solution

Definition of parallel-plate capacitor

The equation of electric potential inside a parallel plate is $E = V \times d$

Now here;

$\begin{array}{rcl} E & = & 1.0 \times 10^{5} V / m \\ d & = & 2.0 \times 10^{- 3} m \\ H e n c e \\ V & = & (1.0 \times 10^{5} V / m) \times (2.0 \times 10^{- 3} m) \\ = & 200 V \end{array}$

Charge of the parallel plate

The charge of the each plate equation;

$Q = \frac{π r^{2} ε_{0} V_{c}}{d}$

role="math" localid="1648304281271" $\begin{array}{rcl} H e r e; \\ V_{c} & = & 3.14 \\ r & = & 1.5 \times 10^{- 2} m \\ ε_{0} & = & 8.85 \times 10^{- 12} C^{2} / N m^{2} \\ π & = & 2.0 \times 10^{- 3} m \end{array}$

Therefore , the value of

$\begin{array}{rcl} Q & = & \frac{(3.14) (1.5 \times 10^{- 2} m) (8.85 \times 10^{- 12} C^{2} / N m^{2}) (200 V)}{2.0 \times 10^{- 3} m} \\ = & 6.3 \times 10^{- 10} C \end{array}$

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A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm
$1.0 \times 10^{5} V / m$ spacing. The electric field strength inside the capacitor is.
a. What is the potential difference across the capacitor?
b. How much charge is on each plate?

Short Answer

Step by step solution

Definition of parallel-plate capacitor

Charge of the parallel plate

One App. One Place for Learning.

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A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm1.0×105V/mspacing. The electric field strength inside the capacitor is.a. What is the potential difference across the capacitor?b. How much charge is on each plate?

Short Answer

Step by step solution

Definition of parallel-plate capacitor

Charge of the parallel plate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electrostatics

Nuclear Physics

Waves Physics

Classical Mechanics

Conservation of Energy and Momentum

Magnetism and Electromagnetic Induction

Study anywhere. Anytime. Across all devices.

A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm
$1.0 \times 10^{5} V / m$ spacing. The electric field strength inside the capacitor is.
a. What is the potential difference across the capacitor?
b. How much charge is on each plate?