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When a 360-nF air capacitor (1 nF = 10-9 F) is connected

Chapter 24, Problem 43E

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QUESTION:

When a 360-nF air capacitor (1 nF = 10-9 F) is connected to a power supply, the energy stored in the capacitor is 1.85 X 10-5 J. While the capacitor is kept connected to the power supply, a slab of dielectric is inserted that completely fills the space between the plates. This increases the stored energy by 2.32 X 10-5 J. (a) What is the potential difference between the capacitor plates? (b) What is the dielectric constant of the slab?

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QUESTION:

When a 360-nF air capacitor (1 nF = 10-9 F) is connected to a power supply, the energy stored in the capacitor is 1.85 X 10-5 J. While the capacitor is kept connected to the power supply, a slab of dielectric is inserted that completely fills the space between the plates. This increases the stored energy by 2.32 X 10-5 J. (a) What is the potential difference between the capacitor plates? (b) What is the dielectric constant of the slab?

ANSWER:

Solution 43E The mathematical expression for energy stored in capacitor is given by E = CV 1 2 2 …..(1), where C is the capacitance of the capacitor and V is the potential difference. From the data given, w can calculate the potential difference between the capacitor plates. 5 G

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