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anyanavicka [17]
2 years ago
6

The separation between two magnets is reduced by a factor of 5. How does the force between them change?

Physics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:Increase by a factor of  25

Explanation:

We know that magnetic force is proportional to \frac{1}{r^2}

where r is the distance between them

F\propto B\propto \frac{1}{r^2}

Thus F\propto \frac{1}{r^2}

Where B=magnetic field

If distance is reduced by a factor of 5 then force must increase by a factor of 25 because

r\rightarrow \frac{r}{5}

so F\propto \dfrac{1}{(\frac{r}{5})^2}

F\propto \frac{25}{r^2}

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