What is solenoid and derive formula for magnetic field inside the solenoid?
Consider a circular element of thickness dx of the solenoid at a distance x from its centre. The magnitude of the total field is obtained by integrating over all the elements from x = −l to x = +l. This is the expression for magnetic field due to a solenoid on the axial line at a distance r from the centre.
What is the magnetic field inside the solenoid?
Inside a solenoid the magnetic field lines will be straight lines and the field will be strong. Outside the solenoid the magnetic field will be weak and the field lines will curl up to form closed loops. Hence, the magnetic field inside a solenoid will be uniform.
What happens to magnetic field inside a solenoid?
The magnetic field inside a solenoid is proportional to both the applied current and the number of turns per unit length. There is no dependence on the diameter of the solenoid, and the field strength doesn’t depend on the position inside the solenoid, i.e., the field inside is constant.
What is the magnetic field intensity inside the toroidal solenoid?
The magnetic field in the open space inside (point P) and exterior to the toroid (point Q) is zero. The field B inside the toroid is constant in magnitude for the ideal toroid of closely wound turns. The direction of the magnetic field inside is clockwise as per the right-hand thumb rule for circular loops.
Is magnetic field inside a solenoid uniform?
Since we can arbitrarily change the dimensions of the loop and get the same result, the only physical explanation is that the integrands are actually equal, that is, the magnetic field inside the solenoid is radially uniform.
Why the magnetic field inside the toroid is zero?
You will observe that current that flows at outer circumference and inner circumference of toroid are in opposite direction to each other. Therefore, current enclosed by Amperian loop is zero. Thus, magnetic field outside the toroid is zero.
How is the magnetic field inside a given solenoid made strong?
We make magnetic field inside a given solenoid made strong by inserting a laminated iron core in it and by this there is a increase in strength of electromagnet of solenoid or we can say that it make magnetic field more intense .
When a magnetic field is applied on a stationary electron it?
Regardless of the external field’s orientation, there will always be attraction force to both external magnetic poles, cancelling each other so the net force on the electron will always be zero, causing the electron to remain stationary.
Is magnetic field constant in toroid?
The field B inside the toroid is constant in magnitude for the ideal toroid of closely wound turns. The direction of the magnetic field inside is clockwise as per the right-hand thumb rule for circular loops.
What is the magnetic field in the empty space enclosed by the toroidal solenoid of radius r?
The loop does not enclose any current. Then by Ampere’s law, the magnetic field at C will also be zero. Hence, the magnetic field in the empty space surrounded by the toroid is zero.
