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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 about10μG . 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 is2.5×10-4A .

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=μ0I2πr .

02

Calculate the current

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

I=2πrBμ0I=2π×0.05×10−94π×10−7I=2.5×10−4A

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

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