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# Explain Biot-Savart Law of Electromagnetism in Brief?(With a problem solved)

RAHUL ROHILLA
3 years ago
Electric fields and magnetic fields might seem different, but they're actually part of one larger force called the electromagnetic force. Charges that aren't moving produce electric fields. But when those charges do move, they instead create magnetic fields. For example, a magnet is only a magnet because of moving charges inside it. And charges moving in an electric wire also produce magnetic fields. If you move a compass near to an electric wire, you'll find that the compass needle changes direction.

TheBiot-Savart Lawis an equation that describes the magnetic field created by a current-carrying wire, and allows you to calculate its strength at various points.

To derive this law, we first take this equation for electric field. This is the full version, where we usemuu-zeroover 4pi instead of the electrostatic constantk. Since we're looking at a wire, we replace the chargeqwithI dl, which is the current in the wire, multiplied by a length element in the wire. Basically it's treating this little chunk of the wire as our charge. And we also replace the electric fieldEwith a magnetic field elementdBbecause a moving charge produces a magnetic field, not an electric fie
RAHUL ROHILLA
3 years ago
Electric fields and magnetic fields might seem different, but they're actually part of one larger force called the electromagnetic force. Charges that aren't moving produce electric fields. But when those charges do move, they instead create magnetic fields. For example, a magnet is only a magnet because of moving charges inside it. And charges moving in an electric wire also produce magnetic fields. If you move a compass near to an electric wire, you'll find that the compass needle changes direction.

TheBiot-Savart Lawis an equation that describes the magnetic field created by a current-carrying wire, and allows you to calculate its strength at various points.

To derive this law, we first take this equation for electric field. This is the full version, where we usemuu-zeroover 4pi instead of the electrostatic constantk. Since we're looking at a wire, we replace the chargeqwithI dl, which is the current in the wire, multiplied by a length element in the wire. Basically it's treating this little chunk of the wire as our charge. And we also replace the electric fieldEwith a magnetic field elementdBbecause a moving charge produces a magnetic field, not an electric fie