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Understanding Electrostatic Potential

The electric ...

Question

The electric potential V at any point x, y, z (all in metres) in space is given by $V = 4 x^{2} - 2 y$ volts. The electric field (in V/m) at the point (1m, 0, 2m) is:

- 8^i + 2^j

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8^i - 2^j

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- 8^i

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N o n e o f t h e s e

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Solution

The correct option is A $- 8^i + 2^j$
$E = \frac{δ V}{δ r} = - 8 x^i + 2^j$
$E a t (1, 0, 2) = - 8^i + 2^j$

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