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Grade 12Electrostatics

If V = 2x-y+a, find E(x,y,z). Find E(1,0,1) and magnitude of E.

Abhishek

7 Years agoGrade 12

1 Answer

Samyak Jain

7 Years ago

V = 2x – y + a, here I’m asssuming a to be constant since it’s not specified.

We know E = – ( $\delta$ V / $\delta$ x)i – ( $\delta$ V / $\delta$ y)j – ( $\delta$ V / $\delta$ z)k.

$\therefore$ E(x,y,z) = – 2 i – ( – 1) j = – 2 i + j

i.e. here the electric field is a uniform.

So, E(1,0,1) = – 2 i + j

Magnitude of E is $\sqrt{(-2)^2 + 1^2 +0^2}$ = $\sqrt{5}$ .

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