(a) (i) Explain (I) electric potential; (II) electric potential energy

(ii) State the SI unit of each of the term in (a)(i) above

(b) An isolated electrically charged sphere of radius, r, and charge, Q, is supported on an insulator in air of permitivity, \(\varepsilon_o\). Write down;

(i) an expression for the electric field intensity on the surface of the sphere;

(ii) an expression for the electric potential at the surface of the sphere;

(iii) a relationship between the electric field intensity and the electric potential at the surface of the sphere

 

(c) The plates of a parallel plate capacitor, 5.0 x 10\(^{-3}\) m apart are maintained at a potential difference of 5.0 x 10\(^{4}\) V. Calculate the magnitude f the

(i) electric field intensity between the plates

(ii) force on the electron

(iii) acceleration of the elctron

[electronic charge = 1.60 x 10\(^{-19}\)C, mass of electron = 9.1 \times 10\(^{-31}\) kg]