Magnetic Field : The concept of a magnetic field and magnetic force is fundamental to understanding the behavior of magnets and their interaction with other magnetic materials.
Magnetic Field : A magnetic field is an area of space where charged particles and magnetic materials experience magnetic forces.
It is produced by moving electric charges or by the intrinsic magnetic moments of elementary particles such as electrons.F = qvBsinθ
Where:B = μ 0 / 2πr
Where,dB = μ 0 4 (IdLxr/r3)
Where , dB = Magnetic field vector at the point of observation.μ 0 =Permeability of free space
I = Current flowing through the loop. dL = Differential length element of the loop. r = position vector For a circular loop, we can divide it into multiple small current elements dl and integrate the contributions of each element to find the total magnetic field at a point. However, there is a special case where we can find a simpler expression for the magnetic field at the center of the loop. This occurs when the loop is symmetrically placed, and the point of observation is at the center of the loop. In this case, the magnetic field at the center of the loop can be calculated as: B = μ 0 IR / 2R 2 = (μ0/2R) B = Magnitude of the magnetic field at the center of the loop. R = Radius of the loop.B = μ 0 IN / L
Where, N = Number of turns in the solenoid I = Current in the coil L = Length of the coil.