Potential Gradient and Relation between Electric Field and Potential
Electric fiel...
Question
Electric field is space is given by →E=E0ax^j(E0=10N/C, a = 1 metre), find potential of point (4,3) (assuming potential at origin is 100 volt)
A
10 volt
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B
25 volt
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C
20 volt
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D
5 volt
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Solution
The correct option is C 20 volt dV=−→E.→dr=−{Ex^i+Ey^j}.{dx^i+dy^j} ∫dV=−Exdx=−E0xdx here,a=1 ΔV=∫dv=∫40−E0xdx =−E0x22=−5x2 =-5 (16) V - 100 = -80 V =20 volt