What is the formula to find magnetic field at the centre of the solenoid of hollow iron core??
To find the magnetic field at the center of a solenoid with a hollow iron core, you can use Ampere's Law. Ampere's Law states that the magnetic field around a closed loop is proportional to the current passing through the loop.
The formula to calculate the magnetic field inside a solenoid is given by:
B = µ₀ * (N * I) / L
Where:
B is the magnetic field strength
µ₀ is the permeability of free space (4π × 10^-7 Tm/A)
N is the total number of turns in the solenoid
I is the current passing through the solenoid
L is the length of the solenoid
However, in the case of a solenoid with a hollow iron core, the presence of the iron core affects the magnetic field. Iron is a ferromagnetic material, which means it intensifies the magnetic field.
To take this into account, you would need additional information about the dimensions and geometry of the hollow iron core inside the solenoid, such as its length, diameter, and thickness.
Once you have that information, you can calculate the magnetic field in the following steps:
1. Calculate the magnetic field inside the solenoid using the above formula.
2. Calculate the magnetic field inside the iron core using the same formula, but with the permeability of iron (µiron) instead of the permeability of free space (µ₀).
3. Subtract the magnetic field inside the iron core from the magnetic field inside the solenoid to get the net magnetic field at the center of the solenoid with a hollow iron core.
It is important to note that this calculation assumes a simplified model and may not be accurate for complex geometries or when other factors, such as magnetic saturation or non-linear behavior of iron, are involved. In such cases, more advanced calculations or experimental measurements may be required.