Question #122143
the voltage difference 800v what is the electric field
1
Expert's answer
2020-06-15T10:26:41-0400

The increase of voltage from point x1x_1 to point x2x_2 is (see https://en.wikipedia.org/wiki/Voltage)

ΔV=x1x2Edl.\Delta V = -\int\limits_{x_1}^{x_2}\vec{E}\,d\vec{l}. Therefore, to obtain the value of electric field we should know something about the distance between points x1x_1 and x2x_2 .

If we consider the uniform fields (see https://en.wikipedia.org/wiki/Electric_field#Uniform_fields), the formula will have a simpler form

E=ΔVdE = -\dfrac{\Delta V}{d} . So we can calculate the field as E=800Vdm,E = - \dfrac{800\,\mathrm{V}}{d\,\mathrm{m}}, so for distance d=1md=1\,\mathrm{m} the module of field will be 800 V/m, for distance d=2md=2\,\mathrm{m} the field will be 400 V/m, and so on. We also can see that the dependence of E on V is proportional to 1d\dfrac{1}{d} .


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