Question

The plates of a spherical capacitor have radii 46.3 mm and 50.7 mm. (a) Calculate the capacitance. (b) What must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance?

(a)

Number

Units

pF

(b)

Number

Units

cm^2

Answer 1

given data; spherical Capacitor radius, 8,= 46.3 mm=0.0463 m Sg = 50.7 mm= 0.0507m (a) Spherical Capacitor capacitance, c= UñEO Чле. 82-8 rira Ix(raa une (8-8) 8,8g The X (88) 0.0463x0.0507 qxio'x (0.0507-0-0463) = 5.927 810lf c = 59.27 PF (b) capacitance, C= A d=79-8 = 0.0507-0.0463 = 4.4x10²m 8=8.85x10 2 2.02 Area, A= Co - 59.27x102x4.4x103 8.85x1012 = 0.029467 m2 I A = 294. 67 cmal