(a) What must the charge (sign and magnitude) of a 1.45 g particle be for it to remain stationa

step 1 Solving Part A first, so I am drawing the figure. So drawing the figure first, so just look at t

(a) What must the charge (sign and magnitude) of a 1.45 g...

(a) What must the charge (sign and magnitude) of a $1.45 \mathrm{~g}$ particle be for it to remain stationary when placed in a downwarddirected electric field of magnitude $650 \mathrm{~N} / \mathrm{C} ?$ (b) What is the magnitude of an electric field in which the electric force on a proton is equal in magnitude to its weight?

Key Concepts

Electric Field

An electric field is a vector field representing the force per unit charge exerted on charged particles in space. It is defined independently of the test charge and determines how charges interact with one another over a distance, serving as the foundation for understanding many phenomena in electromagnetism.

Electric Force

Electric force is the force experienced by a charged particle when placed in an electric field. It is calculated using the relation F = qE, where q is the charge and E is the electric field. This principle is critical for analyzing how charged objects respond to external electric influences.

Gravitational Force

Gravitational force, often referred to as weight, is the attractive force exerted by the Earth on any mass a. It is determined by the equation F = mg, where m is the mass of the object and g is the acceleration due to gravity. Understanding gravitational force is essential when comparing it with other forces for equilibrium conditions.

Static Equilibrium

Static equilibrium refers to the condition in which an object is at rest and all acting forces are balanced, resulting in a net force of zero. This concept is key in physics for determining the conditions under which forces such as electric and gravitational forces can cancel each other out.

Charge

Charge is a fundamental property of matter that causes particles to experience electromagnetic forces. It comes in discrete positive or negative values, and the sign of the charge determines the direction of the force in an electric field. Grasping the concept of charge is essential for any discussion involving electric interactions.

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