At what distance from a 1.00*10^-5 C charge will the electric potential be 10000 V?

Now I am getting 89.9 m but that is incorrect please help me! I will reward you best answer

3 Answers

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  • 3 months ago
    Favorite Answer

    V = kq/r so r = kq/V

    = 8.98755179e9 * 1e-5/1e4 = 8.98755179e9 * 1e-5/1e4 =

    = 8.98755179e9 * 1e-9 = 8.98755179 = 8.99 m <<<<<<<

    Your answer was off by a factor of 10 due to an exponent error. Still wrong but you have the right idea.

  • 3 months ago

    Charges in static electricity are typically in the nanocoulomb (nC) to microcoulomb (µC) range. What is the voltage 5.00 cm away from the center of a 1-cm diameter metal sphere that has a −3.00 nC static charge?

    Strategy

    As we have discussed in Electric Charge and Electric Field, charge on a metal sphere spreads out uniformly and produces a field like that of a point charge located at its center. Thus we can find the voltage using the equation

    V

    =

    k

    Q

    r

    .

    Solution

    Entering known values into the expression for the potential of a point charge, we obtain

    V

    =

    k

    Q

    r

    =

    (

    8.99

    ×

    10

    9

    N

    m

    2

    /C

    2

    )

    (

    3.00

    ×

    10

    9

    C

    5.00

    ×

    10

    2

    m

    )

    =

    539

    V

    Discussion

    The negative value for voltage means a positive charge would be attracted from a larger distance, since the potential is lower (more negative) than at larger distances. Conversely, a negative charge would be repelled, as expected.

  • 3 months ago

    Hi everyone never mind I got it 8.99 because I left out 1 zero at 1000 should have been 10,000

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