Because blood contains charged ions moving blood develops a...

Because blood contains charged ions, moving blood develops a Hall voltage across the diameter of an artery. A large artery with a diameter of 0.75 cm has a flow speed of 0.2 m/s. If a section of this artery is in a magnetic field of 0.22 T, what is the maximum possible potential difference across the diameter of the artery? Answer in units of mV.

Transcript

00:01 All right, so this is a hall effect problem.

00:04 And the basic, sorry, should i get my pen working? and the basic equation for the hall effect in this case is, oops, there we go.

00:17 The emf induced in the hall effect is equal to b times l times b, where b is the magnetic field.

00:24 L is the length of the section that's in the magnetic field, and v is the velocity of the charge particles.

00:31 Right so this problem says what's the maximum potential difference oh you're just solving this right because potential difference emf is equal to potential difference so we're just going to set that equal to b lv so the field is b right make that it feels is b and tesla and that's 0 .22 tesla and then l so right i have this imagine here's an artery right let's look at what's happening here's north.

01:05 Here's south.

01:07 There's magnetic fields, and i made it point the wrong way.

01:12 It goes from north to south like this, right? so here's that.

01:16 That's the magnetic field.

01:18 L is how long this part is in the magnetic field, right? so it's going to be the diameter of the tube.

01:25 And then you have these charged particles moving.

01:28 That's the velocity.

01:29 It's the same thing as motional emf.

01:31 You know what motionally emf is.

01:32 Same equation, because that's basically what's happening.

01:35 So l is going to be our diameter of the blood vessel.

01:39 So it says 0 .75 centimeters.