Question

Assume earth and moon are conductors. they are connected by a thin conducting wire. a charge of +Q is introduced on earth's surface.The the of the surface charge density of moon with earth qmoon ÷qearth=3.68 using the data choose the correct answer a)Re=3.68Rm
b)Re=Rm
c)Re=7.3Rm
d)Re=60Rm

Answer 1

Re=1.92 Rm

Explanation:

When the thin conducting wire is connected, equal charge is distributed on both the surfaces. The charge resides on the surface of the conductor, so consider surface charge density.

$\frac{\sigma_m}{\sigma_e}=3.68$

$\sigma_m=\frac{q}{4\pi r_m^2}\\\sigma_e=\frac{q}{4\pi r_e^2}\\\frac{\sigma_m}{\sigma_e}=\frac{r_e^2}{r_m^2}$

$r_e^2=3.68r_m^2\\r_e=1.92 r_m$

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