1 explain working and principle of solenoid 2 find expression of magnetic field due to current varying conductor 3 prove that F=BIL{sino}

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Solenoid (from the French solénoïde, derived in turn from the Greek solen "pipe, channel" + combining form of Greek eidos "form, shape") is a coil wound into a tightly packed helix. The term was invented by French physicist André-Marie Ampère to designate a helical coil.
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Headstart to assured 95+ score in math

Please refer the NCERT texts. It’s succinctly given.
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

A solenoid is a simple electromagnetic device that converts electrical energy directly into linear mechanical motion.The solenoid consists of a coil of wire with an iron plunger that is allowed to move through the center of the coil.
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

The plunger is being held about halfway out of the coil by a spring. When the coil is energized , the resulting magnetic field pulls the plunger to the middle of the coil. The magnetic force is unidirectional — a spring is required to return the plunger to its un energized position.
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Solenoids are the most common actuator components. The basic principle of operation involves a moving ferrous core (a piston) that will move inside a wire coil as shown below. Normally the piston is held outside of the coil by a spring. When a voltage is applied to the coil and current flows, the coil...
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Solenoids are the most common actuator components. The basic principle of operation involves a moving ferrous core (a piston) that will move inside a wire coil as shown below. Normally the piston is held outside of the coil by a spring. When a voltage is applied to the coil and current flows, the coil builds up a magnetic field that attracts the piston and pulls it into the centre of the coil. The piston can be used to supply a linear force. read less
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A solenoid is a type of electromagnet when the purpose is to generate a controlled magnetic field. If the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet. Not all electromagnets and...
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A solenoid is a type of electromagnet when the purpose is to generate a controlled magnetic field. If the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet. Not all electromagnets and inductors are solenoids; for example, the first electromagnet, invented in 1824, had a horseshoe rather than a cylindrical solenoid shape. read less
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A solenoid is a simple electromagnetic device that converts electrical energy directly into linear mechanical motion, but it has a very short stroke (length of movement), which limits its applications.
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A solenoid is a simple electromagnetic device that converts electrical energy directly into linear mechanical motion, but it has a very short stroke (length of movement), which limits its applications.
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