TigerlilyE722206 TigerlilyE722206
  • 25-10-2022
  • Physics
contestada

Two drops of mercury each has a charge on 2.42 nC and a voltage of 293.97 V. If the two drops are merged into one drop, what is the voltage on this drop?

Respuesta :

MasahH525909 MasahH525909
  • 25-10-2022

The electric potential is given by:

[tex]\begin{gathered} V=\frac{Kq}{r} \\ \end{gathered}[/tex]

Let's find r first:

[tex]\begin{gathered} r=\frac{Kq}{V}=\frac{8.988\times10^9\cdot2.42\times10^{-9}}{293.97} \\ r\approx0.074m \end{gathered}[/tex]

Now we can find the radius of the new drop:

[tex]r_t=2(r)=2(0.074)=0.148[/tex]

So:

[tex]\begin{gathered} V=\frac{K(2q)}{r_t}=\frac{8.988\times10^9\cdot2(2.42\times10^{-9})}{(0.148)} \\ V=293.93V \end{gathered}[/tex]

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