Immediately outside a conducting sphere(i.e. on the surface) of unknown charge Q and radius R the electric potential is 190 V, and 10.0 cm f

Question

Immediately outside a conducting sphere(i.e. on the surface) of unknown charge Q and radius R the electric potential is 190 V, and 10.0 cm further from the sphere, the potential is 140 V. What is the magnitude of the charge Q on the sphere

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Huyền Thanh 4 years 2021-08-23T02:51:51+00:00 1 Answers 12 views 0

Answers ( )

  1. RobertKer
    0
    2021-08-23T02:52:51+00:00
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    Answer:

    Q = 5.9 nC (Approx)

    Explanation:

    Given:

    Further distance = 10 cm

    Electric potential(V) = 190 v

    Potential difference(V1) = 140 v

    Find:

    Magnitude of the charge Q

    Computation:

    V = KQ / r

    190 = KQ / r………….Eq1

    V1  = KQ / (r+10)

    140 = KQ / (r+10) …………Eq2

    From Eq2 and Eq1

    r = 28 cm = 0.28 m

    So,

    190 = KQ / r

    190 = (9×10⁹)(Q) / 0.28

    53.2 = (9×10⁹)(Q)

    5.9111 = (10⁹)(Q)

    Q = 5.9 nC (Approx)

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