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12 January, 03:37

There is an electric field near the Earth's surface whose magnitude is about 145 V/m. How much energy is stored per cubic meter in this field? Express your answer using two significant figures.

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  1. 12 January, 04:03
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    u_e = 9.3 * 10^-8 J / m^3 (2 sig. fig)

    Explanation:

    Given:

    - Electric Field strength near earth's surface E = 145 V / m

    - permittivity of free space (electric constant) e_o = 8.854 * 10^-12 s^4 A^2 / m^3 kg

    Find:

    - How much energy is stored per cubic meter in this field?

    Solution:

    - The solution requires the energy density stored between earth's surface and the source of electric field strength. The formula for charge density is given by:

    u_e = 0.5*e_o * E^2

    - Plug in the values given:

    u_e = 0.5*8.854 * 10^-12 * 145^2

    u_e = 9.30777 * 10^-8 J/m^3
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