Respuesta :

Lanuel

The amount of charge on each plate is equal to 0.9 Coulombs.

Given the following data:

  • Work done = 18 J
  • Charge = 0.30 mC
  • Capacitance = 15 mF

To calculate the amount of charge on each plate:

The formula for work done.

Mathematically, work done in moving a charge is given by this formula:

[tex]W=qV[/tex]

Note: The work done by an external force equals the change in potential energy for the charges that were moved.

[tex]W= \Delta P.E = qV[/tex]

But, [tex]V=\frac{Q}{C}[/tex]

Now, the work done becomes:

[tex]W=q\frac{Q}{C}[/tex]

Making q the subject of formula, we have:

[tex]q=\frac{WC}{Q} \\\\q=\frac{18 \times 15 \times 10^{-6}}{0.3 \times 10^{-3}}[/tex]

Charge, q = 0.9 Coulombs.

Read more on charge here: https://brainly.com/question/14327016