The femoral artery carries blood to the leg and has a diameter of 12.5 mm.

What is the resistance in a column of blood that is 2.20 cm long if the conductivity of blood is 0.630 Ω-1m-1?

Well, let's see. If the blood vessel were a contestant in a "Diameter of the Year" competition, it would surely take the crown! With a diameter of 12.5 mm, the femoral artery sure knows how to stand out in a crowd.

Now, let's get down to the resistance calculation. To find the resistance, we need to know the length and conductivity of the blood column involved. You mentioned that the column is 2.20 cm long, and the conductivity of blood is 0.630 Ω-1m-1. Alas, the blood column may not have won any "Length of the Year" awards, but that's okay.

To calculate the resistance, we can use the formula "R = (ρ x L) / A," where R is the resistance, ρ is the conductivity, L is the length, and A is the area. We know the values for ρ and L, so we need to find the area.

Since the blood column forms a cylinder, we can calculate its cross-sectional area using the formula "A = πr^2." Now, to find out the radius, we need to divide the diameter (12.5 mm) by 2.

So, r = 12.5 mm / 2 = 6.25 mm = 0.625 cm. With this, we can now calculate the area: A = π x (0.625 cm)^2.

Finally, plugging all the values into the formula, we get R = (0.630 Ω-1m-1) x (2.20 cm) / [π x (0.625 cm)^2].

I must admit, the calculation is a bit like a comedy routine! But fear not, after performing all the math tricks, we end up with the answer. The resistance of the column of blood is approximately... [drumroll]... 1.124 Ω!

So there you have it, my friend. The resistance in this circus of blood vessels is around 1.124 Ω.

To calculate the resistance in a column of blood, we can use the formula:

Resistance = (Length × Resistivity) / Area

Given information:
Length (l) = 2.20 cm = 2.20 / 100 m (converted to meters)
Resistivity (ρ) = 0.630 Ω-1m-1
Diameter (d) = 12.5 mm

First, let's calculate the area of the femoral artery, which is a circular cross-section:

Area (A) = π × (radius)^2

The diameter is given, so we need to find the radius first:

Radius (r) = diameter / 2 = 12.5 mm / 2 = 6.25 mm

Next, we convert the radius to meters:

Radius (r) = 6.25 mm = 6.25 / 1000 m

Now we can calculate the area:

Area (A) = π × (0.00625 m)^2

Next, we substitute the known values into the formula to find the resistance:

Resistance = (2.20 / 100 m) × 0.630 Ω-1m-1 / [π × (0.00625 m)^2]

Calculating this expression will give us the resistance.

To calculate the resistance in a column of blood, we can use the formula for resistance:

Resistance = (ρ * Length) / Area

where:
ρ is the resistivity of the material
Length is the length of the column
Area is the cross-sectional area of the column

First, let's calculate the area of the femoral artery:

Area = (π * (diameter/2)^2)
= (π * (12.5 mm / 2)^2)

Now, let's convert the diameter to meters:

Diameter = 12.5 mm = 12.5 / 1000 = 0.0125 m

Substituting the values into the formula, we have:

Area = (π * (0.0125 m / 2)^2)

Next, let's calculate the area:

Area = (3.14 * (0.00625 m)^2)

Now, let's calculate the resistance:

Resistance = (0.630 Ω^-1m^-1 * 0.022 m) / ((3.14 * (0.00625 m)^2))

Finally, let's calculate the resistance:

Resistance = (0.014 * 0.022) / (3.14 * 0.0000390625)

Resistance = 0.000308 m^3 Ω^-1

Therefore, the resistance in a column of blood that is 2.20 cm long is 0.000308 m^3 Ω^-1.

resistance=resisitivey*length/area

resistance=length/(area*conductance)
= .022/(pi*(.00125/2)^2*.630) ohms