You are working in a laboratory, using very sensitive measurement equipment. Your supervisor has explained that the equipment is also very sensitive to electrical discharge from human operators. Specification tables for the equipment indicate that an electrical discharge providing even a very small amount of energy of 250 μ J is enough to damage the equipment. Your supervisor wants to install an apparatus that will be used to remove the electrical charge from individuals’ bodies before they touch the equipment. To do this, she asks you to estimate (a) the capacitance of the human body and determine (b) the charge on the body and (c) the electric potential of the body, relative to a point infinitely far away, corresponding to the energy transfer that will damage the equipment.
You are working in a laboratory, using very sensitive measurement equipment. Your supervisor has explained that the equipment is also very sensitive to electrical discharge from human operators. Specification tables for the equipment indicate that an electrical discharge providing even a very small amount of energy of 250 μ J is enough to damage the equipment. Your supervisor wants to install an apparatus that will be used to remove the electrical charge from individuals’ bodies before they touch the equipment. To do this, she asks you to estimate (a) the capacitance of the human body and determine (b) the charge on the body and (c) the electric potential of the body, relative to a point infinitely far away, corresponding to the energy transfer that will damage the equipment.
Solution Summary: The author explains how the human body acts as a capacitor and calculates the energy stored in the capacitor.
You are working in a laboratory, using very sensitive measurement equipment. Your supervisor has explained that the equipment is also very sensitive to electrical discharge from human operators. Specification tables for the equipment indicate that an electrical discharge providing even a very small amount of energy of 250 μJ is enough to damage the equipment. Your supervisor wants to install an apparatus that will be used to remove the electrical charge from individuals’ bodies before they touch the equipment. To do this, she asks you to estimate (a) the capacitance of the human body and determine (b) the charge on the body and (c) the electric potential of the body, relative to a point infinitely far away, corresponding to the energy transfer that will damage the equipment.
In general it is best to conceptualize vectors as arrows in
space, and then to make calculations with them using
their components. (You must first specify a coordinate
system in order to find the components of each arrow.)
This problem gives you some practice with the
components.
Let vectors A = (1,0, -3), B = (-2, 5, 1), and
C = (3,1,1). Calculate the following, and express your
answers as ordered triplets of values separated by
commas.
In general it is best to conceptualize vectors as arrows in
space, and then to make calculations with them using
their components. (You must first specify a coordinate
system in order to find the components of each arrow.)
This problem gives you some practice with the
components.
Let vectors A = (1,0, −3), B = (-2, 5, 1), and
C = (3,1,1). Calculate the following, and express your
answers as ordered triplets of values separated by
commas.
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