Question

(#565675) Electric Field from Potential) An 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 O The voltage is the negative of the derivative of the electric field as a function of time. The electric field is the negative of the derivative of the voltage as a function of time Your Answer The electric field is the negative of the derivative of the voltage as a function of thex- position. The voltage is the negative of the derivative of the electric field as a function of thex- position.

Part c) Determine the magnitude of the electric field at the position x = 4 m.

________ V/m

Answer 1

A. dV The relation between electric field and voltage is E- Hence, the electric field is the negative of the derivative of voltage Hence, the correct option is 3 B. As the slope of a curve at a point is the derivative of the function on the Y axis with respect to the ах variable on X axis.

Hence, the derivative of the plotted function at a particular point is found by finding the slope of the curve at that point. Hence, the correct option is 2 C. At point 4 m, the graph is almost a straight line. Hence, the magnitude of electric field at 4 m is E= 60-20_40-20 V/m 5-3 2