Second part Problem 29.80 Part A Find an expression for the capacitance of a sph

Question

Second part

Problem 29.80 Part A Find an expression for the capacitance of a spherical capacitor, consisting of concentric spherical shells of radii R1 (inner shell) and R2(outer shell) Express your answer in terms of the variables R1, R2 and appropriate constants C- R1 R2 Submit My Answers Give Up Correct Part B A spherical capacitor with a 3.0 mm gap between the shells has a capacitance of 150 pF . What are the diameters of the two spheres? Express your answers using three significant figures separated by a comma. i,D200124,.00130 cm Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining

Explanation / Answer

R2= R1 + 3x 10^-3

150 x 10^- 12 = ( 4 pi x 8.854 x 10^-12 ) / ( 1/R1 - 1/ R1 + 3x 10^3)

( 1/R1 - 1/ R1 + 3x10^-3 ) = 0.741

( 3 x 10^-3) /(R1^2 + 3x10^-3 R1) = 0.741

R1^2 + 3x 10^-3 R1 - 0.004=0

R1= - 3x 10^-3 +- 0.1273/ 2

R1= 62.15 mm, d1= 124.3 mm

R2= 65.15 mm, d2= 130.3 mm

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