A spherical capacitor is formed from two concentricspherical conducting shells separated by vacuum.The inner sphere has a radius of ra=12.1 cm,and the outer sphere has a radius of rb = 14.8 cmA potential difference of 120 V is applied to thecapacitor.Part AWhat is the capacitance of the capacitor?Use Є0 = 8.85×10-12 F/m for the permittivity of free space.▸ View Available Hint(s)C =SubmitPart BΜΕ ΑΣΦ?FWhat is the magnitude E₁ of the electric field E at radius r = 12.7 cm, just outside the inner sphere?▸ View Available Hint(s)E₁ =SubmitPart CΜΕ ΑΣΦ跖?V/mWhat is the magnitude of Ẽ at r = 14.7 cm, just inside the outer sphere?View Available Hint(s)E2 =Ο ΑΣΦ?V/m

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Answered: A spherical capacitor is formed from…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter8: Capacitance

Section: Chapter Questions

Problem 77CP: A spherical capacitor is formed from two concentric spherical conducting spheres separated by...

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What If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.
By what factor is the capacitance of a metal sphere multiplied if its volume is tripled? (a) 3 (b) 31/3 (c) 1 (d) 31/3 (e) 13
An air-filled capacitor is made from two flat parallel plates 1.0 mm apart. The inside area of each plate is 8.0cm2. (a) What is the capacitance of this set of plates? (b) If the region between the plates is filled with a material whose dielectric constant is 6.0, what is the new capacitance?
A parallel-plate capacitor has square plates of side s = 2.50 cm and plate separation d = 2.50 mm. The capacitor is charged by a battery to a charge Q = 4.00 C, after which the battery is disconnected. A porcelain dielectric ( = 6.5) is then inserted a distance y = 1.00 cm into the capacitor (Fig. P27.88). Hint: Consider the system as two capacitors connected in parallel. a. What is the effective capacitance of this capacitor? b. How much energy is stored in the capacitor? c. What are the magnitude and direction of the force exerted on the dielectric by the plates of the capacitor? Figure P27.88
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A capacitor has parallel plates of area 12 cm2 separated by 2.0 mm. The space between the plates is filled with polystyrene, (a) Find the maximum permissible voltage across the capacitor to avoid dielectric breakdown, (b) When the voltage equals the value found in part (a), find the surface charge density on the surface of the dielectric.
(a) Regarding (lie Earth and a cloud layer 800 m above the Earth as the plates of a capacitor, calculate the capacitance of the Earth-cloud layer system. Assume the cloud layer has an area of 1.00 km2 and the air between the cloud and the ground is pure and dry'. Assume charge builds up on the cloud and on the ground until a uniform electric field of 3.00 106 N/C throughout the space between them makes the air break down and conduct electricity as a lightning bolt, (b) What is the maximum charge the cloud can hold?
The separation between the 4.40-cm2 plates of an air-filled parallel-plate capacitor is 0.230 cm. a. What is the capacitance of this capacitor? If the capacitor is connected to a 9.00-V battery, find b. the charge stored by the capacitor and c. the magnitude of the electric field between its plates.
A spherical capacitor consists of a spherical conducting shell of radius b and charge 2Q that is concentric with a smaller conducting sphere of radius a and charge +Q (Fig. P20.36). (a) Show that its capacitance is C=abke(ba) (b) Show that as b approaches infinity, the capacitance approaches the value a/ke = 40a. Figure P20.36

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