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Figure EX26.4 is a graph of Ex. The potential at the origin is -50V. What is the potential at x=3.0m?

Short Answer

Expert verified

The required potential is-550V

Step by step solution

01

Given information and formula used 

Given :

The potential at the origin : -50V

To find : The potential at :x=3.0m

Graph -

Theory used :

Potential difference is :∆V=Vf-Vi=∫Ex·∆x

02

Calculating the required the potential difference  

Using the formula to calculate potential difference, we have :

∆V=Vf-Vi=∫Ex·∆x⇒V3-V0=-∫02Ex·dx-∫23E·dx⇒V3+50=-200×2-∫23(600-200x)dx↤{fromgraph}⇒V3=-400-50-[600x-200x²2]23 =-450-(900-800)=-450-100=-550V

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