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Electric potential in a region of space ...

Electric potential in a region of space is given by `V=(x^(2)+y^(2)+z^(2))V`. What will be electric field intensity at a point P(-1m, 2m, -3m)?

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To find the electric field intensity at point P(-1m, 2m, -3m) given the electric potential \( V = (x^2 + y^2 + z^2) \, V \), we will use the relationship between electric potential and electric field intensity. The electric field \( \vec{E} \) can be calculated using the negative gradient of the potential \( V \): \[ \vec{E} = -\nabla V \] ### Step 1: Calculate the gradient of the potential \( V \) ...
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