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1. Electric Charges and Fields
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The electric potential $V$ at any point $(x, y, z)$ (all in $metres$ ) in space is given by $V = 4x^2\, volt$. The electric field at the point $(1\, m, 0, 2\, m)$ in $volt/metre$ is
A
$8$ along negative $x-$ axis
B
$8$ along positive $x-$ axis
C
$16$ along negative $x-$ axis
D
$16$ along positive $x-$ axis
Solution
$\overrightarrow{\mathrm{E}}=-\frac{\partial \mathrm{v}}{\partial \mathrm{x}} \hat{\mathrm{i}}-\frac{\partial \mathrm{v}}{\partial \mathrm{y}} \hat{\mathrm{j}}-\frac{\partial \mathrm{v}}{\partial \mathrm{z}} \hat{\mathrm{k}}$
Standard 12
Physics
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