Solved: A cylindrical capacitor consists of a solid inner

Chapter 24, Problem 24.10

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QUESTION:

A cylindrical capacitor consists of a solid inner conducting core with radius 0.250 cm, surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is 12.0 cm. The capacitance is 36.7 pF. (a) Calculate the inner radius of the hollow tube. (b) When the capacitor is charged to 125 V, what is the charge per unit length \(\lambda\) on the capacitor?

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QUESTION:

A cylindrical capacitor consists of a solid inner conducting core with radius 0.250 cm, surrounded by an outer hollow conducting tube. The two conductors are separated by air, and the length of the cylinder is 12.0 cm. The capacitance is 36.7 pF. (a) Calculate the inner radius of the hollow tube. (b) When the capacitor is charged to 125 V, what is the charge per unit length \(\lambda\) on the capacitor?

ANSWER:
Step 1 of 5

The inner radius and the capacitance of the cylindrical capacitor is given, we have to calculate the outer radius. Then we have to calculate the charge per unit length of the capacitor for the given voltage.

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