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29 March, 12:20

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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  1. 29 March, 12:22
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    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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