A current is flowing in an infinitely long straight wire. Using Biot-Savart law, show that the resultant magnetic field at a point along a line perpendicular to the wire is inversely proportional to the distance of the point from the wire.

The Biot-Savart law describes the magnetic field produced by a current-carrying wire. It states that the infinitesimal magnetic field \( d\mathbf{B} \) at a point due to a small segment of current-carrying wire is given by:

\[
d\mathbf{B} = \frac{\mu_0}{4\pi} \frac{I \, d\mathbf{l} \times \hat{\mathbf{r}}}{r^2}
\]

where:
- \( \mu_0 \) is the _______ _________ ____ _______ ______ __________.
____ ______ ________ _____ _______ _______.
______ ___ ___ _________ __________ ___ _______.
____ _______ ___ ________ _________ _____ ___ ______ ________ _______.
_________ ___ __________ _____ _______ _______ __________ ___ ___ __________ __________.
_________ __________ ____ _________ ____ _________ ________ _____ ________.
_________ __________ ___ ______ ______ ______ _______ ________ ______ ____ _______.
____ _______ _______ ________ _____ ___ _________ _______ ______.
_____ __________ _______ ___ _____ _________ ____ ____ _________ _______.
_____ __________ _______ ______ ____ _____ ___ _______ _________ ____.
_____ _______ ___ _____ _________ ________ ____.
_____ ___ ________ __________ ________.
___ ___ ________ ___ _______ ______ ____ ____ __________ _____ ________.
____ _________ _____ _____ __________ _________ __________ _____ _____ ___ ________.
___ _____ ___ _____ __________ ______ __________ _________ _________ ____ _____ _________.
_________ ____ ____ _____ _______ _____ _________ __________ ___ _____ _______.
_____ _______ _____ ____ ____ __________ ___.
____ _____ _____ __________ _______ ____ ______.
_______ _______ ________ ______ ________.
___ _________ ______ ___ _______ _______.
__________ ____ ____ _______ ______ ________ ________.
_____ __________ _______ _________ ______ _______ ______ _____ _____ _____.
___ ____ ___ _______ ___ _____ _________ _____ _____ __________ ________.
________ _________ ________ ________ ____ ______ _________.
______ ____ ______ _______ __________ ________ ______ _____ _______.
________ __________ ____ __________ _____ _______ ____ ________.
_______ __________ _______ ____ __________ _____ _____ __________ ______ ______.
_______ ______ _______ ________ ____ ______ ____ ______ ___.
__________ __________ ______ __________ ______ _______ ______ _______ ___ ______.
____ __________ ______ __________ __________ ___ _______ _________ __________.
______ _________ _______ ______ ____.
______ ___ ________ ____ ___ ____ ____ __________ _____ _________ _____.
________ ____ ___ _____ __________.
Get Full Answer on WhatsApp