Venting port 36 E As a safety engineer, you must evaluate the practice of storing flammable conducting liq- uids in nonconducting containers. The company supplying a certain liquid has been using a squat, cylin- drical plastic container of radius r = 0.20 m and filling it to height h = 10 cm, which is not the con- tainer's full interior height (Fig. 25-44). Your investigation reveals that during handling at the company, the exterior surface of the container commonly acquires a negative charge density of magni- tude 2.0 µC/m? (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 capaci- tance of the central portion of the liquid relative to ground is 35 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 vent- ing port), the potential energy can be fed into the spark. The mini- mum spark energy needed to ignite the liquid is 10 mJ. In this situation, can a spark ignite the liquid? Figure 25-44 Problem 36.
Venting port 36 E As a safety engineer, you must evaluate the practice of storing flammable conducting liq- uids in nonconducting containers. The company supplying a certain liquid has been using a squat, cylin- drical plastic container of radius r = 0.20 m and filling it to height h = 10 cm, which is not the con- tainer's full interior height (Fig. 25-44). Your investigation reveals that during handling at the company, the exterior surface of the container commonly acquires a negative charge density of magni- tude 2.0 µC/m? (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 capaci- tance of the central portion of the liquid relative to ground is 35 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 vent- ing port), the potential energy can be fed into the spark. The mini- mum spark energy needed to ignite the liquid is 10 mJ. In this situation, can a spark ignite the liquid? Figure 25-44 Problem 36.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:Venting port
36 E As a safety engineer,
you must evaluate the practice of
storing flammable conducting liq-
uids in nonconducting containers.
The company supplying a certain
liquid has been using a squat, cylin-
drical plastic container of radius
r = 0.20 m and filling it to height
h = 10 cm, which is not the con-
tainer's full interior height (Fig. 25-44). Your investigation reveals
that during handling at the company, the exterior surface of the
container commonly acquires a negative charge density of magni-
tude 2.0 µC/m? (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 capaci-
tance of the central portion of the liquid relative to ground is
35 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 vent-
ing port), the potential energy can be fed into the spark. The mini-
mum spark energy needed to ignite the liquid is 10 mJ. In this
situation, can a spark ignite the liquid?
Figure 25-44 Problem 36.
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