The figure shows a plastic rod that is .5 m long and has a non-uniform linear ch

Question

The figure shows a plastic rod that is .5 m long and has a non-uniform linear charge density lamda=(500microCoulombs/meters)(x^2). The rod is lying on the x-axis with its left end at the origin. Assuming V=0 at infinity, find the electric potential (in volts) at the left end of teh rod - in other words, at the origin. Select the closest answer.

A) V= 5.625*10^5 V <<<<<<<<<<<Right Answer

B) Infinity

C) V= 2.25*10^6 V

D) V= 1.875*10^5 V

E) V= 3.09*10^5 V

Can some one please explain to me how you arrive to that answer.

Explanation / Answer

eelctric potnetial due to this distrinbutionn is givne V = sigma/eo

wehre e0 = constante = 8.85*10^-12

V = 500*10^-6/*8.85*10^-12)

V = 5.65*10^5 Volts

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