What are the magnitude and the direction of the electric...

Name: Problem 49, Chapter 17: Holt Physics
Uploaded: 2020-10-05T12:29:29-08:00
Duration: 2 min 41 s
Channel: Surjit Tewari
Description: What are the magnitude and the direction of the electric ficld that will balance the weight of an electron? What are the magnitude and direction of the electric field that will balance the weight of a proton?

What are the magnitude and the direction of the electric ficld that will balance the weight of an electron? What are the magnitude and direction of the electric field that will balance the weight of a proton?

Key Concepts

Force Equilibrium

Force equilibrium occurs when the net force acting on an object is zero. In the context of balancing the weight of a charged particle, the electric force (qE) is set equal to the gravitational force (mg), leading to the equation mg = |q|E. This balance is critical to solve for the magnitude and direction of the electric field required to counteract gravity.

Electric Field

An electric field is a region in space where a charged particle experiences a force. Its magnitude is defined as the force per unit positive charge (E = F/q) and its direction is the direction of the force that a positive test charge would experience. This concept is essential for understanding how forces act on charged particles like electrons and protons.

Gravitational Force (Weight)

Gravitational force, or weight, is the force exerted on a mass due to gravity, calculated as mg, where m is the mass and g is the acceleration due to gravity. This force acts downward and is a central concept when examining equilibrium between gravitational and electric forces acting on particles.

Charge Sign and Force Direction

The sign of the charge of a particle determines the direction of the force exerted by an electric field. For a positive charge, the electric force is in the same direction as the electric field. For a negative charge, the force is opposite to the field’s direction. This key concept is crucial to deducing the correct orientation of the electric field when balancing gravitational and electric forces on electrons and protons.

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