The electric field at point P due to a point charge Q a distance R away has magnitude E. In order to double the magnitude of the field at P,

Question

The electric field at point P due to a point charge Q a distance R away has magnitude E. In order to double the magnitude of the field at P, you could:__________.
a. double the distance to 2.
b. double the charge to 2 and at the same time reduce the distance to /2.
c. reduce the distance to /2.
d. reduce the distance to /4.
e. double the charge to 2.

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Thu Cúc 3 years 2021-08-15T16:55:33+00:00 1 Answers 79 views 0

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  1. Amity
    0
    2021-08-15T16:57:10+00:00
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    Answer:

    Option E, double the charge to 2, is the right answer.

    Explanation:

    Given the electric field at point = P

    The point charge = Q

    Distance =R

    Magnitude = E

    Due to a certain charge, the magnitude of the electric field at a point is defined as:

    E = \frac{kQ}{r^2}

    Here, we can see that E is proportionate to Q and 1/r^2

    Hence, double the charge to 2 and at the same time reduce the distance to /2 will half the E

    Therefore, doubling the charge will doubling E

    So the answer is (e) is correct.

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