A small sphere with a charge of -0.60 μC is placed in a uniform electric field of magnitude 1.2

step 1 Well, we need to find the magnitude and direction of the electric force on the sphere, right? An

A small sphere with a charge of -0.60 μC is placed in a...

A small sphere with a charge of $-0.60 \mu \mathrm{C}$ is placed in a uniform electric field of magnitude $1.2 \times 10^{6} \mathrm{N} / \mathrm{C}$ pointing to the west. What is the magnitude and direction of the force on the sphere due to the electric field?

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Key Concepts

Electric Force

Electric force is the interaction that a charged particle experiences when placed in an electric field. It is given by the equation F = qE, where F is the force exerted on the particle, q is the charge, and E is the magnitude of the electric field. This concept is fundamental in understanding how charges interact with fields via the vector nature of force.

Uniform Electric Field

A uniform electric field is one in which the electric field strength and direction remain constant at every point in space. This means that any charge placed within the field will experience the same magnitude of force regardless of its location, simplifying the analysis of electric forces in such environments.

Sign of Charge

The sign of a charge plays a critical role in determining the direction of the force it experiences in an electric field. A positive charge will experience a force in the same direction as the electric field, while a negative charge experiences a force in the opposite direction. This concept is essential for correctly predicting the behavior of charged particles in external fields.

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