Calculate the work that must be done on charges brought from infinity to charge a spherical shell of radius R = 0.114 m to a total charge Q = 197 μC.

Respuesta :

Answer:

The work done in moving the unit positive charge is 1.554 X 10⁷ J

Explanation:

Work done in bringing a unit positive charge from infinity is the potential difference of the charge.

V = E X d

where;

V is the potential difference J

E is the field potential N/C

d is the distance moved by the charge m

[tex]V = \frac{k*q}{r}[/tex]

where;

k is coulomb's constant = 8.99 X 10⁹ Nm²/C²

r is the radius of the sphere = distance moved by the unit positive charge

q is the unit positive charge = 197 X 10⁻⁶ C

[tex]V = \frac{8.99X10^9*197X10^{-6}}{0.114}[/tex]

V = 15535.35 X 10³ J

V = 1.554 X 10⁷ J

Therefore, the work done in moving the unit positive charge is 1.554 X 10⁷ J