a thundercloud whose base is 500m above the ground. The potential difference between the base of the cloud and the m ground is 200MV. A raindrop with a charge of 4.0 x 10–12C is in the region between the cloud and the ground. What is the electrical force on the raindrop? A 1.6 x 10–6N B 8.0 x 10–4N C 1.6 x 10–3N D 0.40N

Respuesta :

Answer:

1.6×10⁻⁶ N.

Explanation:

From the question,

F = (V/r)q......................... Equation 1

Where F = Electric force on the raindrop, V = Potential difference between the base of the cloud and the ground, r = distance between the base of the cloud and the ground, q = the charge on a rain drop.

Given: V = 200MV = 200×10⁶ V, r = 500 m, q = 4.0×10⁻¹² C.

Substitute these values into equation 1

F = [(200×10⁶ )/500]×4.0×10⁻¹²

F = 1.6×10⁻⁶ N.

This question involves the concepts of potential difference and Columb's law.

The electrical force on the raindrop will be "A. 1.6 x 10⁻⁶ N".

ELECTRICAL FORCE ON THE RAINDROP

According to Columb's Law the electrical force on the raindrop can be given by the following formula:

[tex]F=\frac{kq_1q_2}{r^2}[/tex]------ equation (1)

where,

  • F = electrical force on the raindrop = ?
  • k = Columb's constant
  • q₁ = charge on cloud
  • q₂ = charge on raindrop = 4 x 10⁻¹² C
  • r = disatnce between cloud and ground = 500 m

Now, the potential difference between cloud and ground can be given by the following formula:

[tex]V=\frac{kq_1}{r}[/tex]

substituting this value in equation (1), we get:

[tex]F=\frac{Vq_2}{r}[/tex]

using values:

[tex]F=\frac{(2\ x\ 10^8\ V)(4\ x\ 10^{-12}\ C)}{500\ m}[/tex]

F = 1.6 x 10⁻⁶ N

Learn more about Columb's Law here:

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