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Chapter 4: Q17E (page 948)

The body contains many small currents caused by the motion of ions in the organs and cells. Measurements of the magnetic field around the chest due to currents in the heart give values of about10渭G . Although the actual currents are rather complicated, we can gain a rough understanding of their magnitude if we model them as a long, straight wire. If the surface of the chest is 5 cm from this current, how large is the current in the heart?

Short Answer

Expert verified

The magnitude of the current is2.5脳10-4A .

Step by step solution

01

Formula of magnetic field

Treat the wire as a very long wire in this case.

Magnetic field due to a very long wire is given byB=渭0I2蟺谤 .

02

Calculate the current

Given thatB=10渭G andr=5cm . The current is given by

I=2蟺rB渭0I=2蟺脳0.05脳10鈭�94蟺脳10鈭�7I=2.5脳10鈭�4A

So, the magnitude of the current is2.5脳10-4A .

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Copper has 8.5脳1022free electrons per cubic meter. A 71.0-cm

length of 12-gauge copper wire that is 2.05 mm in diameter carries 4.85 A of

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of the wire? (b) Repeat part (a) for 6-gauge copper wire (diameter 4.12 mm)

of the same length that carries the same current. (c) Generally speaking,

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