Question
Download Solution PDFWhich of the following statements are true regarding Biot – Savart’s law?
(i) According to biot – savart’s law magnetic field is directly proportional to the length of the element.
(ii) Biot – Savart’s law deals with electric field.
(iii) Magnetic field is directly proportional to current through the conductor.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Biot-Savarts Law: The law that gives the magnetic field generated by a constant electric current is Biot-savarts law.
- Let us take a current-carrying wire of current I and we need to find the magnetic field at a distance r from the wire then it is given by:
Where μ0= 4π × 10-7 T.m/A is the permeability of free space/vacuum, dl = small element of wire and r ̂ is the unit position vector of the point where we need to find the magnetic field.
EXPLANATION:
From the above expression of the Biot-savart law, the magnetic field is:
- Directly proportional to the length of the wire. So statement (i) is correct.
- Directly proportional to the electric current. So statement (iii) is correct.
- Biot-savart law gives the magnetic field, not the electric field. So statement (ii) is wrong.
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