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Electricity and Magnetism

Electric Fields

Concept Quizzes

Superposition of electric fields
Electrostatics
Electric potential
Conservative nature of Electric fields

Challenge Quizzes

Electric Fields: Level 2-3 Challenges
Electric Fields: Level 4-5 Challenges

Superposition of electric fields

Three point charges of strengths $q_1 = 4.0 \times 10^{-6} \text{ C},$ $q_2 = 1. 0 \times 10^{-6} \text{ C}$ and $Q = -4.0 \times 10^{-6} \text{ C}$ are fixed in a right triangle as shown above.

The distance between $q_1$ and $Q$ is $d_1 = 4.0 \text{ cm},$ and the distance between $q_2$ and $Q$ is $d_2 = 3.0 \text{ cm}.$ What is the approximate electric field strength at location of charge $Q$ due to the other two charges?

2.5 \times 10^7 \text{ N/C}

1.8 \times 10^7 \text{ N/C}

1.2 \times 10^7 \text{ N/C}

0.6 \times 10^7 \text{ N/C}

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by Brilliant Staff

Four point charges, each equal to $q = 44 \ \mu \text{C},$ are held at the corners of square $ABCD$ of side length $a= 80 \text{ cm}$ on the $xy$ -plane. Find the magnitude and sign of a charge $Q$ placed at the center of the square such that the system of charges is in equilibrium.

-11 ( 1 + 2 \sqrt{2} ) \ \mu \text{C}

-22 ( 1 + 2 \sqrt{2} ) \ \mu \text{C}

5 ( 1 + 2 \sqrt{2} ) \ \mu \text{C}

16 ( 1 + 2 \sqrt{2} ) \ \mu \text{C}

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by Brilliant Staff

Three point charges, each equal to $q = 33 \ \mu \text{C},$ are held at the corners of equilateral triangle $ABC$ of side length $a= 60 \text{ cm}$ on the $xy$ -plane. Find the magnitude and sign of a charge $Q$ placed at the center of the triangle such that the system of charges is in equilibrium.

-27 \sqrt{3} \ \mu \text{C}

5 \sqrt{3} \ \mu \text{C}

-16 \sqrt{3} \ \mu \text{C}

-11 \sqrt{3} \ \mu \text{C}

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by Brilliant Staff

Two charges, each equal to $-52 \ \mu \text{C},$ are held a certain distance apart. A charge $Q$ is placed exactly midway between them. Find the magnitude and sign of $Q$ such that the system of the three charges is in equilibrium.

19 \ \mu \text{C}

6 \ \mu \text{C}

26 \ \mu \text{C}

13 \ \mu \text{C}

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by Brilliant Staff

Two points charges $q_ 1 = 64 \ \mu \text{C}$ and $q_2 = -9 \ \mu \text{C}$ are held on the $x$ -axis. The point charge $q_1$ is at $x = -50 \text{ cm}$ and $q_2$ is at the origin. Where on the $x$ -axis should a third charge $+Q$ be placed so that charge $Q$ does not experience any net force?

-15 \text{ cm}

30 \text{ cm}

9 \text{ cm}

-21 \text{ cm}

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by Brilliant Staff