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Physics - Biot- Savart law: Solved Example Problems | 12th Physics : Magnetism and Magnetic Effects of Electric Current

Chapter: 12th Physics : Magnetism and Magnetic Effects of Electric Current

Biot- Savart law: Solved Example Problems

Physics : Magnetism and Magnetic Effects of Electric Current: Biot- Savart law: Solved Example Problems with Answers, Solution and Explanation


Magnetic field due to long straight conductor carrying current : 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  OPN = θ1 which implies, ϕ1 = π /2  − θ1 and also in a right angle triangle OPM, OPM = θ2 which implies, ϕ2 = π/2 + θ2

Hence,


 

Magnetic field produced along the axis of the current carrying circular coil: Solved Example Problems


EXAMPLE 3.17

What is the magnetic field at the center of the loop shown in figure?


Solution

The magnetic field due to current in the upper hemisphere and lower hemisphere of the circular coil are equal in magnitude but opposite in direction. Hence, the net magnetic field at the center of the loop (at point O) is zero .


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