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Introduction to Semiconductors

The electric ...

Question

The electric potential V at a point P(x,y,z) in space is given by V=4x²volt. Electric field at a point(1m,0,2m) in V/m is..

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Solution

Electric potential V = 4x² volts

The electric potential changes only along x-axis, We know that E_x = -dV/dx? E_x = - d(4x²)/ dx = - 8x
The electric field at point (1,0,2) will be (here x = 1) E_x – 8 volt/m

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