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The electron gun in an old TV picture tube accelerates electrons between two parallel plates 1.5 cm apart with a 30 kV potential difference between them. The electrons enter through a small hole in the negative plate, accelerate, then exit through a small hole in the positive plate. Assume that the holes are small enough not to affect the electric field or potential. a)What is the electric field strength between the plates?

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For a pair of charged parallel plates (think capacitor) where the plate size is much bigger compared to the plate spacing, we can approximate the electric field as having a constant magnitude everywhere between the plates. The electric field strength is given by:

E = ΔV/d

E = electric field strength, ΔV = potential difference, d = plate spacing

Given values:

ΔV = 30×10³V, d = 1.5×10⁻²m

Plug in and solve for E:

E = 2 megavolts/meter

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