Electric Field and Forces Quiz

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5 Questions

What is the force exerted by q1 on q2, according to Coulomb's Law?

$F_{21} = \frac{1}{4\pi\epsilon_0}\frac{q_1q_2}{r_{21}^2}$

Which of the following statements is true about the force between two charges with the same sign?

The force is repulsive.

What is the vector sum of the forces experienced by charge q1 in a system with many charges?

$F_1 = F_{1,2} + F_{1,3} + F_{1,4} + \ldots + F_{1,N}$

What is the principle of superposition?

The total force experienced by a charge is the vector sum of the forces on it exerted by other charges.

How is the electric field defined for a single charge distribution?

The electric field is defined as the ratio of the force experienced by a charge to the magnitude of the charge.

Study Notes

Coulomb's Law

  • The force exerted by q1 on q2 is proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.
  • The force between two charges with the same sign is repulsive, meaning like charges repel each other.

Forces in a System with Multiple Charges

  • The vector sum of the forces experienced by charge q1 in a system with many charges is the net force acting on q1.

Principle of Superposition

  • The principle of superposition states that the total force on a charge is the vector sum of the forces exerted on it by each of the other charges.
  • This principle allows us to calculate the total force on a charge by breaking it down into smaller components.

Electric Field

  • The electric field at a point in space is defined as the force experienced by a test charge at that point divided by the magnitude of the test charge.
  • The electric field can be calculated for a single charge distribution, and is a vector quantity with both magnitude and direction.

This quiz covers the concept of the electric field and the forces experienced by charges in relation to each other. Topics include the direction of force for like charges, the calculation of force between charges, and the application of Newton's 3rd Law.

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