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vova2212 [387]
3 years ago
12

Calculate the volume of a 5-g sample of pure gold

Physics
1 answer:
Bond [772]3 years ago
5 0
  • Answer:

<em>≈ 0.26 cm³</em>

  • Explanation:

<em>Hi there !</em>

<em>Gold is a metal with a very high density.</em>

<em>The density of gold is higher than that of lead.</em>

<em>Density(gold) = 19300 kg/m³ = 19.3 g/cm³</em>

<em />

<em>19.3 g ............ 1 cm³</em>

<em>5 g ..................x cm³</em>

<em>x = 5g×1cm³/19.3g = 0.2590 cm³ ≈ 0.26 cm³</em>

<em>Good luck ! </em>

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Answer:

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Explanation:

This exercise we must relate several equations, let's start writing the voltage in a coil

        E_{L} = - L dI / dt

 

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       E = - d Ф_B / dt

in the case of the coil this voltage is the same, so we can equal the two relationships

        - d Ф_B / dt = - L dI / dt

The magnetic flux is the sum of the flux in each turn, if there are n turns in the coil

        n d Ф_B = L dI

we can remove the differentials

      n Ф_B = L I

magnetic flux is defined by

     Ф_B = B . A

in this case the direction of the magnetic field is along the coil and the normal direction to the area as well, therefore the scalar product is reduced to the algebraic product

      n B A = L I

the loop area is

      A = π R²

     

we substitute

       n B π R² = L I                    (1)

To find the magnetic field in the coil let's use Ampere's law

        ∫ B. ds = μ₀ I

where B is the magnetic field and s is the current circulation, in the coil the current circulates along the length of the coil

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we solve

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              B =  μ₀ I / 2πR

we substitute in

       n ( μ₀ I / 2πR) π R² = L I

       n  μ₀ R / 2 = L I

       L =   μ₀ n r / 2I

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3 years ago
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