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Chapter 4: Q16E (page 948)

A very long, straight horizontal wire carries a current such that8.2脳1018 electrons per second pass any given point going from west to east. What are the magnitude and direction of the magnetic field this wire produces at a point 4 cm directly above it?

Short Answer

Expert verified

The magnitude of magnetic field is6.56脳10-6T and the direction is North.

Step by step solution

01

Formula of magnetic field

The magnitude of the magnetic field due to a very long wire is given byB=渭0I2蟺谤 .

Magnitude of current can be found byI=Qt=Net .

02

Calculate the magnetic field

Given that8.2脳1018 electrons pass per second. Current can be found by

role="math" localid="1668234317908" I=NteI=8.2脳1018脳1.6脳10鈭�19I=1.312A

Use the formula of magnetic field to find the magnitude.

role="math" localid="1668234307776" B=渭0I2蟺rB=4蟺脳10鈭�7脳1.3122蟺脳4脳10鈭�2B=6.56脳10鈭�6T

The current points towards the left, so according to the left hand rule the direction of magnetic field at point above the wire is north.

So, the magnitude of magnetic field is6.56脳10-6T and the direction is North.

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