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The following article will add knowledge about “What is the magnitude of the acceleration of a proton at rest at point c and d?“. Let’s not forget to look at the content!
Question
The magnetic field in the figure is decreasing at the rate 0.8 T/s . What is the magnitude of the acceleration of a proton at rest at point c and d?
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Answer “What is the magnitude of the acceleration of a proton at rest at point c and d?”.
Induced electric field:
A conductor is affected by magnetic flux. The induced electric field can change in time and is therefore not conservative.
Mathematically:
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Here;
- is the electric field,
- is the line element around the electric field,
- is the magnetic flux
- is the time.
Answer and Explanation:
We only need to consider the magnitude in Faraday’s law:
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For a uniform electric field;
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Here,
- r is the radius of the circle
Since the magnetic field is perpendicular to the area of the circle, magnetic flux;
Here,
- is the magnetic field.
Therefore, from eqn.(1), we get;
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The force on a proton at distance (r) from the center is now;
F = qE = ma
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Here,
- is the charge of the proton,
- is the mass of the proton.
Thus,
a =
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At point c,
a =
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=
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At point d,
a =
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=
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Last words
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