Course Home KCH24 Exercise 24.10 ? Part A Calculate the outer radus of the hollo

Question

Course Home KCH24 Exercise 24.10 ? Part A Calculate the outer radus of the hollow tube A cylindrical capacitor consists of a solid inner conducting core with radius 0.270 cm, surrounded by an outer hollow conducting tube The two conductors are separated by air, and the length of the cylinder is 14 5 cm. The capacitance is 35.0 pF r 0.35 Submi Incorrect; Try Again; 3 attempts remaining Not qulte Check through your calculations, you may have made a rounding error or used number of slgnificant figures Part B When the capacitor is charged 160 V. what is the charge per unit length on the capacitor? A36210C/u

Explanation / Answer

Capacitance/unit length of a long cylinder is

C/L = (2pi(e?)) / (ln (b/a))

b is radius of outside conductor

a is radius if inside conductor

e? is 8.8542e-12 F/m

C = 35pF = (0.145)(2pi*8.85e-12) / (ln (b/a))

ln (b/a) = 0.2305

b/a = 1.259

b = 1.259x0.27 = 0.34 cm

Second half, use Q = CV to get charge and divide by 14.5 cm to get charge per cm.

= (35*10^-12)(150)/14.5

= 3.62*10^-10 C/cm

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