The graph shows the x-component of the electric field as a function of position

Question

The graph shows the x-component of the electric field as a function of position on the x-axis.

a. If the potential at the origin is -20 V, what is the potential at 10 cm?

b. If a proton is at the origin moving with a speed of 2

The graph shows the x-component of the electric field as a function of position on the x-axis. a. If the potential at the origin is -20 V, what is the potential at 10 cm? b. If a proton is at the origin moving with a speed of 2?10^5 m/s along the +x-axis, at what position over the range 0 m ? x ? 10 m will the proton have its maximum speed? c. What is the maximum speed of the proton as it moves along the x-axis?

Explanation / Answer

Electrical potential is defined as the area under the curve E(x) multiplied by a minus sing (work is made by an external force), now you have 3 regions: the parabollic, the E = constant (2000 V/m) and the E decreasing.

First, let's find the parabola equati

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