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5.4 Electric Field

Force per unit test charge as a quantity filling space, replacing action at a distance, and summing contributions from discrete positive and negative sources.

University Physics Volume 2, 5.4 Electric Field

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11 exercises

5.4 Exercise 1

What is the electric field due to a single point particle?

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5.4 Exercise 2

When measuring an electric field, could we use a negative rather than a positive test charge?

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5.4 Exercise 4

If the electric field at a point on the line between two charges is zero, what do you know about the charges?

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5.4 Exercise 6

A particle of charge 2.0×10−8C2.0 \times 10^{−8} \text{C} experiences an upward force of magnitude 4.0×10−6N4.0 \times 10^{−6} \text{N} when it is placed in a particular point in an electric field. (a) What is the electric field at that point? (b) If a charge q=−1.0×10−8Cq = −1.0 \times 10^{−8} \text{C} is placed there, what is the force on it?

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5.4 Exercise 8

Consider an electron that is 10−10m10^{−10} \text{m} from an alpha particle (q=3.2×10−19C).\left(q = 3.2 \times 10^{−19} \text{C}\right) . (a) What is the electric field due to the alpha particle at the location of the electron? (b) What is the electric field due to the electron at the location of the alpha particle? (c) What is the electric force on the alpha particle? On the electron?

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5.4 Exercise 10

What is the electric field at a point where the force on a −2.0×10−6−C−2.0 \times 10^{−6} −\text{C} charge is (4.0i^−6.0j^)×10−6N?\left(4.0 \hat{\text{i}} - 6.0 \hat{\text{j}}\right) \times 10^{−6} \text{N}?

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5.4 Exercise 12

The electric field in a particular thundercloud is 2.0×105N/C.2.0 \times 10^{5} \text{N}/\text{C} . What is the acceleration of an electron in this field?

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5.4 Exercise 14

If the electric field is 100N/C100 \text{N}/\text{C} at a distance of 50 cm from a point charge q, what is the value of q?

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5.4 Exercise 16

(a) What is the electric field of an oxygen nucleus at a point that is 10−10m10^{−10} \text{m} from the nucleus? (b) What is the force this electric field exerts on a second oxygen nucleus placed at that point?

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5.4 Exercise 18

Point charges q1=50μCq_{1} = 50 \mu \text{C} and q2=−25μCq_{2} = −25 \mu \text{C} are placed 1.0 m apart. (a) What is the electric field at a point midway between them? (b) What is the force on a charge q3=20μCq_{3} = 20 \mu \text{C} situated there?

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5.4 Exercise 20

Point charges q1=q2=4.0×10−6Cq_{1} = q_{2} = 4.0 \times 10^{−6} \text{C} are fixed on the x-axis at x=−3.0mx = −3.0 \text{m} and x=3.0m.x = 3.0 \text{m} . What charge q must be placed at the origin so that the electric field vanishes at x=0,y=3.0m?x = 0 , y = 3.0 \text{m} ?

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Adapted from University Physics Volume 2 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 2. Imported at revision db44eb9.