As a safety engineer, you must evaluate the practice of storing flammable conducting liquids in nonconducting containers. Thecompany supplying a certain liquid has been using a squat, cylindrical plastic container of radius r = 0.20 m and filling it to height h= 10.6 cm, which is not the container's full interior height (see the figure). Your investigation reveals that during handling at thecompany, the exterior surface of the container commonly acquires a negative charge density of magnitude 2.0 µC/m2 (approximatelyuniform). Because the liquid is a conducting material, the charge on the container induces charge separation within the liquid. (a)How much negative charge is induced in the center of the liquid's bulk? (b) Assume the capacitance of the central portion of theliquid relative to ground is 41 pF. What is the potential energy associated with the negative charge in that effective capacitor? (c) If aspark occurs between the ground and the central portion of the liquid (through the venting port), the potential energy can be fed intothe spark. The minimum spark energy needed to ignite the liquid is 10 mJ. In this situation, can a spark ignite the liquid?-Venting port(a) NumberUnits(b) NumberUnits(c)

(a) We calculate the charged surface area of the cylindrical volume as follows:A=2πrh+πr…

Answered: (a) Number Units (b) Number Units (c)

Science

Physics

(a) Number Units (b) Number Units (c)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 14CQ

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Question

As a safety engineer, you must evaluate the practice of storing flammable conducting liquids in nonconducting containers. The
company supplying a certain liquid has been using a squat, cylindrical plastic container of radius r = 0.20 m and filling it to height h
= 10.6 cm, which is not the container's full interior height (see the figure). Your investigation reveals that during handling at the
company, the exterior surface of the container commonly acquires a negative charge density of magnitude 2.0 µC/m2 (approximately
uniform). Because the liquid is a conducting material, the charge on the container induces charge separation within the liquid. (a)
How much negative charge is induced in the center of the liquid's bulk? (b) Assume the capacitance of the central portion of the
liquid relative to ground is 41 pF. What is the potential energy associated with the negative charge in that effective capacitor? (c) If a
spark occurs between the ground and the central portion of the liquid (through the venting port), the potential energy can be fed into
the spark. The minimum spark energy needed to ignite the liquid is 10 mJ. In this situation, can a spark ignite the liquid?
-Venting port
(a) Number
Units
(b) Number
Units
(c)

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