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4 March, 20:55

Membrane walls of living cells have surprisingly large electric fields across them due to separation of ions. What is the electric potential across an 8.00~/text{nm}8.00 nm-thick membrane if the electric field strength across it is 7.13~/text{MV/m}7.13 MV/m? You may assume a uniform electric field.

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  1. 4 March, 21:16
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    5.704 x 10⁻² V

    Explanation:

    given,

    thickness of membrane, d = 8 nm = 8 x 10⁻⁹ m

    Electric field strength, E = 7.13 MV/m

    = 7.13 x 10⁶ V/m

    The electric potential across membrane

    V = E d

    V = 7.13 x 10⁶ x 8 x 10⁻⁹

    V = 57.04 x 10⁻³

    V = 5.704 x 10⁻² V

    the electric potential across an membrane is equal to 5.704 x 10⁻² V
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