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Question 4-Cylindrical Capacitor What is the capacitance of a long cylindrical (coaxial) cable of inner radius a, outer radius b and length L as shown? How is the capacitance changed if the insulation between the conductors is plastic with a dielectric constant k?

Question 4-Cylindrical Capacitor What is the capacitance of a long cylindrical (coaxial) cable of inner radius a, outer radius b and length L as shown? How is the capacitance changed if the insulation between the conductors is plastic with a dielectric constant k?

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter26: Capacitance And Dielectrics
Section: Chapter Questions
Problem 26.10OQ: (i) A battery is attached to several different capacitors connected in parallel. Which of the...
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^ Questions 1 A parallel plate capacitor has plates with dimensions 3 cm by 4 cm, separated by 2 mm. The plates are connected across a 60 V battery. Find (a) the capacitance; (b) the magnitude of charge on each plate; (c) the energy stored in the capacitor. Question 2 What is the capacitance of an isolated metallic sphere of radius R = 20 cm? Question 3 For the circuit shown opposite, find: (a) the effective total capacitance; (b) the charge and potential difference for each individual capacitor. Question 5 C₁-6µF HH 11 Question 4-Cylindrical Capacitor What is the capacitance of a long cylindrical (coaxial) cable of inner radius a, outer radius b and length L as shown? How is the capacitance changed if the insulation between the conductors is plastic with a dielectric constant k? R₁ 1°2 E2 C₂=1 μF C4-12µF HE 48 V B C3=3μF M R₂ 1°3 A The circuit above consists of 3 different imperfect batteries connected to two equal resistors. Find the currents I1, I2 and 13 leaving the batteries, and the potential difference from A to B, VAB. Take E₁ = 6 V, r₁ = 192, E2 = 10 V, r2 = 20, E3= 12 V, r3= 392 and R1 = R2= 2002. Question 6 The circuit alongside shows a 100 µF capacitor connected in parallel with a 150 resistor and a 3.0 V battery. The switch, which was initially closed, is opened at time t = 0. What is the current flowing through the resistor immediately after the switch is opened? After how long will the current have dropped to 1% of this value? What is the energy dissipated in the resistor during the complete discharge? R
Transcribed Image Text:^ Questions 1 A parallel plate capacitor has plates with dimensions 3 cm by 4 cm, separated by 2 mm. The plates are connected across a 60 V battery. Find (a) the capacitance; (b) the magnitude of charge on each plate; (c) the energy stored in the capacitor. Question 2 What is the capacitance of an isolated metallic sphere of radius R = 20 cm? Question 3 For the circuit shown opposite, find: (a) the effective total capacitance; (b) the charge and potential difference for each individual capacitor. Question 5 C₁-6µF HH 11 Question 4-Cylindrical Capacitor What is the capacitance of a long cylindrical (coaxial) cable of inner radius a, outer radius b and length L as shown? How is the capacitance changed if the insulation between the conductors is plastic with a dielectric constant k? R₁ 1°2 E2 C₂=1 μF C4-12µF HE 48 V B C3=3μF M R₂ 1°3 A The circuit above consists of 3 different imperfect batteries connected to two equal resistors. Find the currents I1, I2 and 13 leaving the batteries, and the potential difference from A to B, VAB. Take E₁ = 6 V, r₁ = 192, E2 = 10 V, r2 = 20, E3= 12 V, r3= 392 and R1 = R2= 2002. Question 6 The circuit alongside shows a 100 µF capacitor connected in parallel with a 150 resistor and a 3.0 V battery. The switch, which was initially closed, is opened at time t = 0. What is the current flowing through the resistor immediately after the switch is opened? After how long will the current have dropped to 1% of this value? What is the energy dissipated in the resistor during the complete discharge? R
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