The relatively high resistivity of dry skin, about 1x10^6 Ohm m, can safely limit the flow of current into deeper tissues of the body. Suppose an electrical worker places his palm on an instrument whose metal case is accidently connected to a high voltage. The skin of the palm is about 1.5 mm thick.
Assume the area of skin on the worker's palm that would contact a flat panel is 1.5×10^−2 m^2, then calculate the approximate resistance of the skin of the palm(Value and units).
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To calculate the resistance of the skin on the worker's palm, we can use the formula:
Resistance = Resistivity * Length / Area
Given:
Resistivity (ρ) = 1x10^6 Ohm m
Length (L) = 1.5 mm = 1.5x10^(-3) m
Area (A) = 1.5x10^(-2) m^2
By substituting the given values into the formula, we can calculate the resistance of the skin:
Resistance = (1x10^6 Ohm m) * (1.5x10^(-3) m) / (1.5x10^(-2) m^2)
Simplifying the equation:
Resistance = 100 Ohms
Therefore, the approximate resistance of the skin on the worker's palm is 100 Ohms.
To calculate the resistance of the skin on the worker's palm, we can use the formula:
Resistance (R) = resistivity (ρ) * length (L) / area (A)
In this case, we are given the resistivity of dry skin (ρ) as 1x10^6 Ohm m, and the thickness of the skin (L) as 1.5 mm. We also have the area of the skin on the worker's palm (A) as 1.5×10^−2 m^2.
First, we need to convert the thickness of the skin from millimeters to meters:
L = 1.5 mm = 1.5 x 10^(-3) m
Now we can substitute the values into the formula:
R = (1x10^6 Ohm m) * (1.5 x 10^(-3) m) / (1.5×10^−2 m^2)
R = (1x10^6 Ohm m) * (1.5 x 10^(-3) m) / (1.5×10^−2 m^2)
R = 1x10^6 * 1.5x10^(-3) / (1.5x10^(-2))
R = 1.5 x 10^3 Ohms
Therefore, the approximate resistance of the skin on the worker's palm is 1.5 x 10^3 Ohms.