Electric potential at any point is v 5x 3y+

Asked by admin @ 16/08/2021 in Physics viewed by 587 People

Electric potential at any point is.V=-5x+3y+15 z then magnitude of the electric field is

Answered by admin @ 16/08/2021

we know that E=-dv/dx

So we calculate in each direction electric field separately,

E=-(dv/dx,dv/dy,dv/dz)

Ex=-dV/dx

=>Ex=-d(–4x + 5y + 15z)/dx

=>Ex=4

Ey=-dV/dy

=>Ey=-d(–4x + 5y + 15z)/dy

=>Ey=-5

Ez=-dV/dz

=>Ez=-d(–4x + 5y + 15z)/dz

=>Ez=-15

E=4i-5j-15k

|E|=√(16+25+225) = 16.31 V/m

Cheers!!

Regards,

Vikas (B. Tech. 4th year

Thapar University)

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