Question

Magnetic field?

A measurement is made of the magnetic field generated by electrical currents circulating in the outer layer of the brain of a patient. At a distance of `0.60cm` from the nerves carrying these currents, a magnetic field of `6.0×10−15T` is measured. Calculate the electrical current in the brain responsible for this.
Give your answer in Amps.

Answer 1

`I = 2.26 xx10^(-16) \text( A)`

Explanation:

I would suggest applying Ampere's Law (we'll also assume the magnetic field is a constant, since we are provided with one constant value measured).

`B = (I)/(2\pir)`

We are given:
`r = 0.60 \text( cm) = 0.006 \text( m)`
`B = 6.0 xx 10^(-15) \text( T)`

`I = 2\pirB = 2\pi(0.006)(6.0 xx 10^(-15)) = 2.26 xx10^(-16) \text( A)`