Suppose there is a non-uniform electric field and you measure the electric poten

Question

Suppose there is a non-uniform electric field and you measure the electric potential at two different locations along the z-axis. The first location has a position value of z1 = .25 cm and an electric potential value V1 = 36 V. The second location has a position of z2 = .55 cm and an electric potenital value V2 = 15 V. Between the two locations what is the avaerage electric field z-component? Which direction is the average electric field z-component pointing? Between the locations measured, where does the electric field z-component have the calculated value (e.g. everywhere, nowhere, only at the measured locations)?

Please have all steps with images if possible.

Explanation / Answer

electric field is E = dv/dr = (V2-V1)/(r2-r1) = (15-36)/((0.55-0.25)*10^-2) = -7000 V/m

direction is along -Z-axis

since we calculated average field So every where we calculated field

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