The electric potential of an uncharged, spherical conductor with a radius of 0.1 m is 10 V. If the sphere is located in a region of space wi

Question

The electric potential of an uncharged, spherical conductor with a radius of 0.1 m is 10 V. If the sphere is located in a region of space with no electric fields, what is the electric potential at a point located 2 m from the center of the sphere

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Calantha 3 years 2021-09-05T16:35:38+00:00 1 Answers 7 views 0

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  1. niczorrrr
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    2021-09-05T16:37:31+00:00
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    Answer:

    10 V.

    Explanation:

    The relation between electric field and electric potential is as follows

    -\int\limits^a_b \vec{E}d\vec{l} = V_a - V_b

    Since the electric field is zero in the region, then the left-hand side of the above equation becomes zero.

    0 = V_a - V_b\\V_a = V_b

    This means that if electric field is zero in a region, then the electric potential is constant in that region. Therefore, the electric potential 2 m from the center of the sphere is equal to the potential of the sphere, which is 10 V.

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