Two extensive conducting plates are arranged so that the line perpendicular to both…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two extensive conducting plates are arranged so that the line perpendicular to both plates makes an angle of 30∘30^{\circ} above the positive xx-axis in the xyxy-plane. The plates are 5.0 cm5.0\,\text{cm} apart (measured along the shortest distance between them) and are maintained at a potential difference of 450 V450\,\text{V}. Ignore edge effects. (a) Determine the magnitude of the electric field between the plates. (b) Resolve this field into its xx- and yy-components. (c) A proton released from rest at the plate of higher potential moves 2.0 cm2.0\,\text{cm} along the direction of the field. Calculate its speed at that point. (d) State whether the proton’s electric potential energy increases or decreases during the motion, and by how much.

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