What is the significance of the negative sign in the, Physics

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What is the significance of the negative sign in the

1. What is the significance of the negative sign in the equation E- = -∇ V ?

2. State Gauss's law.

3. Can we use Gauss's law in each of the following cases: (a) ρv = kρ2, (b) ρv = kρ cos φ, (c) ρv = k/ρ and ρ /= 0, (d) ρv = kr , (e) ρv = kr cos θ , (f ) ρv = kr cos φ?

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