The electric potential $V(x)$ in a region around the origin is given by $V(x) = 4x^2\,volts$ . The electric charge enclosed in a cube of $1\,m$ side with its centre at the origin is (in coulomb)
The electric potential $V(x)$ in a region around the origin is given by $V(x) = 4x^2\,volts$ . The electric charge enclosed in a cube of $1\,m$ side with its centre at the origin is (in coulomb)
- [AIEEE 2012]
- A
$8\,{\varepsilon _0}$
- B
$-4\,{\varepsilon _0}$
- C
$0$
- D
$-8\,{\varepsilon _0}$
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- [IIT 2020]
The diagram below shows electric field lines in a region of space. Which of the following diagrams best shows the variation with distance $d$ of the potential $V$ along the line $XY$ as we move from $X$ to $Y$ ?
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Electric potential at any point is $V = -5x + 3y + \sqrt {15} z$, then the magnitude of the electric field is
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