Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

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

Electrostatics

As shown in the above figure, the point charges $q_A = 4 \text{ C}$ and $q_B$ produce potential $V$ at the point $X,$ which is away from $q_A$ by a distance of $d$ and away from $q_B$ by a distance of $2d.$ If the point charge $q_C$ is away from $X$ by a distance of $d$ and the total potential at $X$ is $-3V,$ what is the sum of the point charges $q_A,$ $q_B$ and $q_C?$

-8 \text{ C}

-6 \text{ C}

-12 \text{ C}

-10 \text{ C}

Show explanation

View wiki

by Brilliant Staff

There are two charged metal spheres, as shown in the above figure. The sphere $A$ with radius $r_1 =16 \text{ cm}$ is charged with charge $Q_1 =32 \text{ C} ,$ and the sphere $B$ with radius $r_2 =8 \text{ cm}$ is charged with charge $Q_2 = 4 \text{ C}.$ If the two spheres touch each other, what is the final charge of the sphere $A?$

24 \text{ C}

36 \text{ C}

12 \text{ C}

48 \text{ C}

Show explanation

View wiki

by Brilliant Staff

Two identical, equally charged metal spheres $A$ and $B$ with radius $3 \text{ m}$ repel each other with a force of $F_{AB} = 5 \times 10^{-5} \text{ N}.$ A third identical, uncharged sphere $C$ touches $A,$ and then is placed at the midpoint of $A$ and $B.$ Determine the magnitude of net electrostatic force on $C?$

7 \times 10^{-5} \text{ N}

10 \times 10^{-5} \text{ N}

2 \times 10^{-5} \text{ N}

5 \times 10^{-5} \text{ N}

Show explanation

View wiki

by Brilliant Staff

Three positively charged particles lie on a straight line. Their charges are $q_1= 4 \text{ C}, q_2 =5 \text{ C}$ and $q_3=16 \text{ C},$ with positions $x_1 = 0,$ $x_2$ and $x_3 = r = 24 \text{ m}$ . The equilibrium point is placed between $q_1$ and $q_3.$

When $q_1$ and $q_3$ are fixed, and $q_2$ is movable, find the equilibrium point for $q_2.$

8 \text{ m}

20 \text{ m}

4 \text{ m}

16 \text{ m}

Show explanation

View wiki

by Brilliant Staff

As shown in the above diagram, there are three electrically neutral metal spheres: metal sphere $A$ with radius $r_A=4 \text{ cm},$ metal sphere $B$ with radius $r_B = 2 \text{ cm}$ which is positively charged with charge $q_B = 6.0 \text{ C} ,$ and metal sphere $C$ with radius $r_C = 6 \text{ cm}$ which is negatively charged with charge $q_C = -10.0 \text{ C}.$ If $B$ touches $A$ and then touches $C,$ what is the final charge of sphere $B?$

2 \text{ C}

-2 \text{ C}

3 \text{ C}

-1 \text{ C}

Show explanation

View wiki

by Brilliant Staff