Question
Using Biot-Savart's law, obtain an expression for the magnetic field due to electric current flowing in a long straight wire at a distance R from the wire along a line perpendicular to the wire.
Answer :
Word Count : 459
The Biot-Savart law provides a fundamental relationship to calculate the magnetic field produced by a steady current. According to this law, the infinitesimal contribution (d\mathbf{B}) to the magnetic field at a point in space due to an element of current-carrying conductor is given by [ d\mathbf{B} = \frac{\mu_0}{4\pi} \frac{I , d\mathbf{l} \times \mathbf{\hat{r}}}{r^2} ] where (I) is the current in the conductor, (d\mathbf{l}) is an infinitesimal element of the wire in the direction of current, (\mathbf{r}) _________ _____ _______ _____ ___ _____ ___ ___ ___ ____ _______ ____.
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The Biot-Savart law provides a fundamental relationship to calculate the magnetic field produced by a steady current. According to this law, the infinitesimal contribution (d\mathbf{B}) to the magnetic field at a point in space due to an element of current-carrying conductor is given by [ d\mathbf{B} = \frac{\mu_0}{4\pi} \frac{I , d\mathbf{l} \times \mathbf{\hat{r}}}{r^2} ] where (I) is the current in the conductor, (d\mathbf{l}) is an infinitesimal element of the wire in the direction of current, (\mathbf{r}) _________ _____ _______ _____ ___ _____ ___ ___ ___ ____ _______ ____.
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