A cylindrical capacitor has an inner conductor with a radius of 1.4 and an outer

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

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