contestada

how much work is required to move a 1 microcoulomb charge by a distance of 5 meters along an equipotential line of 6V?

Respuesta :

Answer:

The work done is zero.

Solution:

As per the question:

Charge, [tex]q = 1\mu C = 1\times 10^{- 6}\ C[/tex]

Distance moved, d = 5 m

Voltage, V = 6V

Now, we know that an equipotential surface is one where the potential is same everywhere on the surface.

Suppose the the voltage at a distance d = 5 m is V'

Thus

V' = 6 V, (since the surface is equipotential)

Work done in moving a charge is given by:

[tex]W = q\Delta V[/tex]

[tex]W = q(V - V')[/tex]

[tex]W = (1\times 10^{- 6})(V - V')[/tex]

[tex]W = (1\times 10^{- 6})(6 - 6) = 0[/tex]

Thus the work done in moving a charge on an equipotential surface comes out to be zero as the potential difference is zero.

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