A cylindrical capacitor has an inner conductor of radius 2.9 mm and an outer con

Question

A cylindrical capacitor has an inner conductor of radius 2.9 mm and an outer conductor of radius 3.1 mm. the two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. Part A What is the capacitance per unit length? C/L= pF/m Part B The potential of the liner conductor relative to that of the outer conductor is 400 mV. Find the charge (magnitude and sign) on the inner conductor. Express your answer with the appropriate units. Q_1= Part C The potential of the inner conductor relative to that of the outer conductor is 400 mV. Find the charge(magnitude and sign) on the otter conductor. Express your answer with the appropriate units. Q_2=

Explanation / Answer

Part A)

Capacitance per unit length=20/ln(r2/r1)

C/L=2*3.14*8.85*10-12/ln(3.1/2.9)

C/L=8.33*10-10F

Part B)

Q=CV

Q=8.33*10-10 *2.8 *400=9.33*10-9 coulomb

charge and sign on inner conductor=+9.33*10-7 coulomb

Part C)

charge and sign on outer conductor=-9.33*10-7 coulomb

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