Chapter 26: Q. 21 (page 738)

Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery.
a. What is the capacitance?
b. What is the magnitude of the charge on each electrode?

Short Answer

Expert verified

(a) The value of the capacitance is $C = 12.5 p F$ .

(b) The magnitude of the charge on each electrode is $Q = 2.5 n C$ .

Step by step solution

Part (a) Step 1: Given Information

We need to define the capacitance.

Part (a) Step 2: Explanation

The capacitance of this type of parallel plate capacitor is given by

$C = ε_{0} \frac{A}{d}$

where is $A$ the area of the plate and $d$ is the distance between the plates. In this case

$A = \frac{D^{2}}{4} π$

Where, $D = 3.0 c m$ is the diameter of the plate. This further given as

$C = ε_{0} \frac{(D^{2} π)}{4 d}$

Using the numerical values and we get

$C = 12.5 p F$

Part (b) Step 1: Given Information

We need to define the magnitude of the charge on each electrode.

Part (b) Step 2: Explanation

On each electrode, the magnitude of the charge is given by

$Q = C Δ V = 12.5 pF \cdot 100 V = 2.5 nC$

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Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery.
a. What is the capacitance?
b. What is the magnitude of the charge on each electrode?

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Explanation

Part (b) Step 1: Given Information

Part (b) Step 2: Explanation

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Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery.a. What is the capacitance?b. What is the magnitude of the charge on each electrode?

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Explanation

Part (b) Step 1: Given Information

Part (b) Step 2: Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Translational Dynamics

Kinematics Physics

Solid State Physics

Waves Physics

Further Mechanics and Thermal Physics

Study anywhere. Anytime. Across all devices.

Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery.
a. What is the capacitance?
b. What is the magnitude of the charge on each electrode?