A cylindrical capacitor has an inner conductor with a radius of 1.4 and an outer
ID: 2154192 • Letter: A
Question
A cylindrical capacitor has an inner conductor with a radius of 1.4 and an outer conductor with a radius of 3.2 . The two conductors are separated by vacuum, and the entire capacitor has a length of 2.5 .a)What is the capacitance per unit length?
Express your answer using two significant figures.
b)The potential of the inner conductor relative to that of the outer conductor is 320 . Find the charge (magnitude and sign) on both conductors.
Enter your answers numerically separated by a comma. Express your answers using two significant figures.
Explanation / Answer
charge per unit length:
a)C/L=2k0/ln(b/a) b=outer radius a=inner radius 0=1
=0.673 x10-10 F/m
b)The potential of the inner conductor relative to that of the outer conductor is 320 mV .
The charge (magnitude and sign) on both conductors= q =CV
q =( 67.3 *10-12 )*2.5*0.32
Charge on outer= q = + 5.384*10^-11 C
Charge on inner= q = - 5.384*10^-11 C