Two large metal parallel plates carry opposite charges of...

Two large metal parallel plates carry opposite charges of equal magnitude. They are separated by $45.0 \mathrm{mm},$ and the potential difference between them is 360 $\mathrm{V}$ (a) What is the magnitude of the electric field (assumed to be uniform) in the region between the plates? (b) What is the magnitude of the force this field exerts on a particle with charge $+2.40 \mathrm{nC}$ ?

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Key Concepts

Relationship Between Potential Difference and Electric Field

The potential difference (voltage) between two points in an electric field is related to the work done per unit charge when moving between them. For a uniform field, this relationship simplifies to E = V/d, where V is the voltage difference and d is the separation between the points.

Force on a Charged Particle in an Electric Field

A charged particle placed in an electric field experiences a force described by the equation F = qE, where q is the charge and E is the electric field strength. This concept underlies many phenomena and devices in electromagnetism and forms the basis for understanding the motion of charges in fields.

Uniform Electric Field

In a uniform electric field, the electric field strength remains constant in magnitude and direction throughout the region. This assumption simplifies calculations because the relationship between potential difference and distance is linear, allowing the electric field to be expressed as E = V/d.

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