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As the charge of Object A is doubled, the electric field strength created by object A increases by a factor of 2.Group of answer choicesTrueFalse

Question

As the charge of Object A is doubled, the electric field strength created by object A increases by a factor of 2.

Group of answer choices

  • True
  • False
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Solution

The statement is True.

Explanation

According to Coulomb's law, the electric field E E created by a point charge Q Q is given by the formula:

E=kQr2 E = \frac{k \cdot Q}{r^2}

where:

  • E E is the electric field strength,
  • k k is the electrostatic constant,
  • Q Q is the charge of the object,
  • r r is the distance from the charge.

If the charge Q Q is doubled (i.e., changed to 2Q 2Q ), the new electric field strength E E' can be expressed as:

E=k(2Q)r2=2kQr2=2E E' = \frac{k \cdot (2Q)}{r^2} = 2 \cdot \frac{k \cdot Q}{r^2} = 2E

Thus, the electric field strength does indeed increase by a factor of 2.

This problem has been solved

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