Question

du Question 12 This question contains multiple parts. Make sure to read all the instructions and answer each part A electric field of varying magnitude is directed in the positive x-direction throughout a region of space. The field magnitude varies only along the x-direction. Part a Which of the following statements is true about the relationship between the electric field and the voltage in this region of space. Select the correct answer Theelectric field is the derivative of the voltage as a function of the x- position O The voltage is the derivative of the electric field as a function of time O The electric field is the derivative of the voltage as a function of time O The voltage is the derivative of the electric field as a function of the x-position 1 of 3 attempts used CHECK ANSWER Type here to search

Please just do part C.

Thanks!

Answer 1

We know, that
$E =\frac{-dV}{dr}$
So, basically, it is the slope of graph at r=4.

Hence, we draw tangent to graph, so we get this tangents cuts r= 3 at V =20 and r=5 at V=60
$Slope =\frac{ \delta y}{\delta x} =\frac{60-20}{5-3} =20$
Hence,
$E =-\frac{dV}{dr} =-20 V/m$

dV dr

lopy60 20 5-3 oy 60-20 Slope =

dV-20V