What is the Relationship Between Pressure, Flow, and Resistance

Question

What is the relationship between pressure, flow, and resistance
A)flow = pressure gradient / radius4
B)flow / pressure gradient = resistance
C)flow = pressure gradient / resistance
D)pressure gradient = flow / radius4

Accepted Answer

This is known as Poiseuille's law and states that flow increases with increasing pressure gradient and decreases with increasing resistance. The equation can be rearranged as pressure gradient = flow/resistance or flow = pressure gradient/resistance. Option A is incorrect as it includes a radius4 term, which is part of the equation for resistance, not flow. Option B is incorrect as it has the flow and pressure gradient values flipped, resulting in an incorrect calculation of resistance. Option D is also incorrect as it includes only the radius4 term and doesn't take into account the effects of pressure gradient or resistance.