Laboratory plates are typically about 2.50cm on each side and 2.50mm apart. In many experiments, the maximum potential across these plates is about 25.0V.
For this maximum potential, what magnitude of acceleration would this field produce on an electron midway between the plates?
For this maximum potential, what magnitude of acceleration would this field produce on an electron midway between the plates?
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F = ma
Calculate the force and divide by the mass of the electron.
How do you calculate the force? F = qE where q = charge of the electron and E = electric field.
How do you calculate E? For a constant electric field, E = V/d where d = distance between the plates and V = voltage.
Calculate the force and divide by the mass of the electron.
How do you calculate the force? F = qE where q = charge of the electron and E = electric field.
How do you calculate E? For a constant electric field, E = V/d where d = distance between the plates and V = voltage.
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The 'Potential' is the work done / unit charge by the field on a charge passing between the plates.
The work done is the force * the distance over which the force acts
Potential * charge = Force * distance *assuming* the force is constant between the plates
= electron mass * acceleration * distance
=> acceleration = Potential * charge / (electron mass * plate separation)
The work done is the force * the distance over which the force acts
Potential * charge = Force * distance *assuming* the force is constant between the plates
= electron mass * acceleration * distance
=> acceleration = Potential * charge / (electron mass * plate separation)