Asked by P
A very long cylindrical capacitor consists of two thin hollow conducting cylinders with the same axis of symmetry. The inner cylinder has a radius a, the outer one has a radius b. You may ignore end effects.
(a) Fig. 1
(b) Fig. 2
(a) What is the capacitance per unit length? Express your answer in terms of a,band epsilon_0
incorrect
(b) Now consider the limit where b is very close to a . Express b as a+δ ; where δ /a<<1 . What is the capacitance per unit length in that limit? hint: in that limit you can use the following approximation:
ln(1+x)≈ x
Express your answer in terms of a, and δ
(a) Fig. 1
(b) Fig. 2
(a) What is the capacitance per unit length? Express your answer in terms of a,band epsilon_0
incorrect
(b) Now consider the limit where b is very close to a . Express b as a+δ ; where δ /a<<1 . What is the capacitance per unit length in that limit? hint: in that limit you can use the following approximation:
ln(1+x)≈ x
Express your answer in terms of a, and δ
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