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Repeat previous exercise for a negative charge.

   Repeat previous exercise for a negative charge.

University Physics

University Physics

Samuel J. Ling, Jeff… 2nd Edition

Chapter 11, Problem 20

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Solved by Expert Joseph Petrullo

07/04/2020

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The direction of \(F\) is given by the direction of the cross product \(V \times B\). Show more…

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Repeat previous exercise for a negative charge.

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Key Concepts

Electric Charge

Electric charge is a fundamental property of matter that determines how particles interact with electric fields and with each other. It comes in two types: positive and negative. The sign of the charge is crucial in predicting the direction of forces experienced in a field, with negative charges responding oppositely to positive ones in directional analyses.

Electric Field

An electric field is a vector field that represents the force experienced per unit charge at any point in space. Its direction and magnitude are crucial in determining how charges move under its influence. For a negative charge, the force exerted by the field will act in the opposite direction to the field vectors, making an understanding of field orientation vital.

Force on a Charge

The force on a charge in an electric field is given by the equation F = qE, where F is the force, q is the charge, and E is the electric field. Since the charge q can be negative, this formula inherently includes the possibility that the force may be opposite in direction to the electric field vector, emphasizing the importance of sign in analyzing the behavior of charged particles.

Sign Convention and Directionality

Understanding sign conventions is critical in electromagnetism. The sign of the charge affects the direction of the resulting force relative to the applied fields. For positive charges, the force and field vectors align, while for negative charges, they are antiparallel. This concept is key in solving problems involving electric forces and motion of charges within fields.

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