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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

a =

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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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