Question

Explain Biot-Savart law. With its help derive an
expression for magnetic field at any point on the​

Answer 1

Answer:

Bio-Savart's Law is the basis law of electricity and magnetism it is used to find the small magnetic field due to current carrying wire. It states that small magnetic field (dB) due to current carrying element is I. directly proportional to the electric current passed through the wire i.e. dB ∝I ...(i) II. directly proportional to the small length (dl) i.e. dB ∝I ...(ii) III. directly proportional to the sine of angle between current carrying wire and given point. i.e. dB ∝ sin θ ...(iii) IV. inversly proportional to the square of distance between current carrying wire and given point. i.e. dB ∝1/r2 .....(iv) Combining eqn (i), (ii), (iii) and (iv) Direction of vector dB is perpendicular to the plane of vector dl and r. Total magnetic field due to current carrying wire, Application of Biot-Savart's Law Magnetic field on the axial line of circular current carrying loop. Let us consider a circular current carrying verticle circle as shown in the figure. The radius of circular current carrying loop is we want to calculate total magnetic field at point P which is x distance away from at centre. There are two components of Magnetic field vector dB . Each and Every vector dB cosθ component cancelled by each other. Due to its counter part. Eqn 10 is a general eqn for magnetic field on the axial line of circular current carrying loop. It can be generalised for N-turns in the coil. Read more on Sarthaks.com - https://www.sarthaks.com/253984/explain-biot-savart-help-derive-expression-magnetic-field-print-current-carrying-circula