For the purpose of measuring the electric resistance of shoes through the body of the wearer standing on a metal ground plate, the American National Standards Institute (ANSI) specifies the circuit shown in Figure P27.14. The potential difference Δ V across the 1.00-MΩ resistor is measured with an ideal voltmeter. (a) Show that the resistance of the footwear is R shoes = 50.0 V − Δ V Δ V (b) In a medical test, a current through the human body should not exceed 150 μ A. Can the current delivered by the ANSI-specified circuit exceed 150 μ A? To decide, consider a person standing barefoot on the ground plate. Figure P27.14
For the purpose of measuring the electric resistance of shoes through the body of the wearer standing on a metal ground plate, the American National Standards Institute (ANSI) specifies the circuit shown in Figure P27.14. The potential difference Δ V across the 1.00-MΩ resistor is measured with an ideal voltmeter. (a) Show that the resistance of the footwear is R shoes = 50.0 V − Δ V Δ V (b) In a medical test, a current through the human body should not exceed 150 μ A. Can the current delivered by the ANSI-specified circuit exceed 150 μ A? To decide, consider a person standing barefoot on the ground plate. Figure P27.14
For the purpose of measuring the electric resistance of shoes through the body of the wearer standing on a metal ground plate, the American National Standards Institute (ANSI) specifies the circuit shown in Figure P27.14. The potential difference ΔV across the 1.00-MΩ resistor is measured with an ideal voltmeter. (a) Show that the resistance of the footwear is
R
shoes
=
50.0
V
−
Δ
V
Δ
V
(b) In a medical test, a current through the human body should not exceed 150 μA. Can the current delivered by the ANSI-specified circuit exceed 150 μA? To decide, consider a person standing barefoot on the ground plate.
Part A
m
2πkT
) 3/2
Calculate the integral (v) = f vƒ (v)dv. The function f(v) describing the actual distribution of molecular speeds is called the Maxwell-Boltzmann distribution,
=
ƒ(v) = 4π (· v²e-mv²/2kT
. (Hint: Make the change of variable v² =x and use the tabulated integral foxne
integer and a is a positive constant.)
Express your answer in terms of the variables T, m, and appropriate constants.
-ax dx
n!
-
an+1
where n is a positive
(v)
=
ΕΠΙ ΑΣΦ
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