The electric field strength E of a dipole varies:ans. inversely as cube of distanceInversely as distance Directly as square of distance Inversely as square of distance Previous Marked for Review Next
Question
The electric field strength E of a dipole varies:ans. inversely as cube of distanceInversely as distance Directly as square of distance Inversely as square of distance Previous Marked for Review Next
Solution
The electric field strength E of a dipole varies inversely as the cube of the distance. This means that as the distance from the dipole increases, the electric field strength decreases at a rate proportional to 1/distance^3.
Here's a step-by-step explanation:
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The electric field (E) of a dipole is the force that a charge would experience if it were placed in the field.
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The strength of this field depends on two things: the amount of charge on the dipole and the distance from the dipole.
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The relationship between the electric field strength and the distance from the dipole is an inverse cube relationship. This is expressed mathematically as E ∝ 1/d^3.
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This means that if you double the distance from the dipole, the electric field strength will decrease to one-eighth of its original value (since 2^3 = 8).
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Conversely, if you halve the distance, the electric field strength will increase eightfold.
So, the correct answer is: The electric field strength E of a dipole varies inversely as the cube of the distance.
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