Chapter 23: Q44P (page 682)

Figure 23-52 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by $E_{s} = 5.0 \times 10 N / C$ . What is the charge on the sphere?

Short Answer

Expert verified

The charge on the sphere is $2.2 \times 10^{- 6} C$ .

Step by step solution

The given data

The scale of the vertical axis, $E_{S} = 5.0 \times 10^{7} N / C$

Understanding the concept of the electric field

Using the concept of the electric field, we can get the charge on the particle by substituting the given values in the given formula.

Formula:

The electric field at a point due to a charged particle, $E = \frac{q}{4 {πε}_{0} r^{2}}$ (1)

Calculation of the charge on the sphere

We determine the (total) charge on the ball by examining the maximum value $(E_{S} = 5.0 \times 10^{7} N / C)$ shown in the graph (which occurs at localid="1661248841771" $r = 0.020 m$ ). Thus, from, we obtain the charge on the sphere as given:

$q = (4 {πε}_{0} r^{2}) \times E = \frac{{(0.020 m)}^{2} (5.0 \times 10 N^{7} / C)}{9 \times 10^{9} N \cdot m^{2 /} C^{2}} = 2.2 \times 10^{- 6} C$

Hence, the value of the charge is $2.2 \times 10^{- 6} C$ .

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Figure 23-52 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by $E_{s} = 5.0 \times 10 N / C$ . What is the charge on the sphere?

Short Answer

Step by step solution

The given data

Understanding the concept of the electric field

Calculation of the charge on the sphere

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Figure 23-52 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by Es=5.0×10N/C. What is the charge on the sphere?

Short Answer

Step by step solution

The given data

Understanding the concept of the electric field

Calculation of the charge on the sphere

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Magnetism and Electromagnetic Induction

Electric Charge Field and Potential

Force

Dynamics

Oscillations

Wave Optics

Study anywhere. Anytime. Across all devices.

Figure 23-52 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by $E_{s} = 5.0 \times 10 N / C$ . What is the charge on the sphere?