Relationships Between Force, Field, Energy, Potential Video Lessons

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Problem: Consider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.25 T. What is potential difference, in volts, required in the first part of the experiment to accelerate electrons to a speed of 6.1x107 m/s?

FREE Expert Solution

Kinetic energy:

K=12mv2

Potential energy:

U=q·V

Law of conservation of energy:

Ki+Ui+Wnc=Kf+Uf

Wnc is the work done by non-conservative forces.

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Problem Details

Consider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.25 T. 

What is potential difference, in volts, required in the first part of the experiment to accelerate electrons to a speed of 6.1x107 m/s?

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