two charges exert a force of 10 Newton on each other when separated by a distance 0.2 metre in year when they are placed in another medium of dielectric constant K is equal to 4 and separated by distance R then they are same force the distance equals to
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Let q and Q are two charges are separated 0.2m apart.
from Coulomb's law,
Force between them, F = kqQ/(0.2)²
given, F = 10N
so, 10 = kqQ/(0.04)
or, kqQ = 10 × 0.04 = 0.4 ......(1)
now both charges are placed in another medium of dielectric constant K equal to 4 and separated by distance R.
then, force between them, F' = kqQ/4R²
[ as you force is inversely proportional to dielectric constant so, F' = kqQ/R² × 1/4 ]
F' = F = kqQ/4R² [ according to question same force acts on both conditions ]
from equation (1),
10 = 0.4/4R²
or, R² = 0.01 = (0.1)² => R = 0.1 m
hence, distance between them is 0.1m
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Answer:
In diff med k= four
F =
Explanation:
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