Problem 3
Two very wide parallel plates separated by are held at potential difference , producing a uniform field; neglect edge effects. Axis points from the positive to the negative plate. A test particle of signed charge and mass lies between them. (a) Find field magnitude and direction. (b) Find the electric force, including for . (c) Find field work and potential-energy change for displacement along . Keep the sign convention consistent and use appropriate SI units throughout. Each part builds on intermediate results from the preceding part; apply a physical relation only where the stated model assumptions hold. Finally compare the answers with the initial conditions, expected trends, and an independent check when available.
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Use the result just found to calculate the quantity requested next. Keep the sign convention consistent throughout.