Two metal spheres having charges of +4.0 × 10^–6 coulomb and +2.0 × 10^–5 coulomb, respectively, are brought into contact and then separated. What is the charge on each sphere after separation?

Respuesta :

Answer:

The correct answer is "[tex]12\times 10^{-6} \ C[/tex]".

Explanation:

Given that,

[tex]Q1=+4.0\times 10^{-6} \ C[/tex]

and,

[tex]Q2=+2.0\times 10^{-5} \ C[/tex]

or,

     [tex]=20\times 10^{-6} \ C[/tex]

then,

The total charge will be:

⇒ [tex]Q =Q1+Q2[/tex]

       [tex]=(+4.0\times 10^{-6}) +(20\times 10^{-6})[/tex]

       [tex]=24.0\times 10^{-6} \ C[/tex]

hence,

After separation, the charge on each sphere will be:

⇒ [tex]q=\frac{Q}{2}[/tex]

       [tex]=\frac{24.0\times 10^{-6}}{2}[/tex]

       [tex]=12\times 10^{-6} \ C[/tex]