Biot- Savart law: Solved Example Problems

EXAMPLE 3.15

Calculate the magnetic field at a point P which is perpendicular bisector to current carrying straight wire as shown in figure.

Solution

Let the length MN = y and the point P is on its perpendicular bisector. Let O be the point on the conductor as shown in figure.

The result obtained is same as we obtained in equation (3.39).

EXAMPLE 3.16

Show that for a straight conductor, the magnetic field

Solution:

In a right angle triangle OPN, let the angle âˆ  OPN = θ1 which implies, Ï•1 = Ï€ /2  âˆ’ θ1 and also in a right angle triangle OPM, âˆ OPM = θ2 which implies, Ï•2 = Ï€/2 + θ2

Hence,