Solenoid Magnetic Field & Induced EMF Simple Numericals - Compiled By Bilal Ahmad Khan AKA Mr. BILRED

What is a Solenoid?

A solenoid is a coil of wire wound in a cylindrical shape that generates a magnetic field when an electric current passes through it. It acts like an electromagnet and is commonly used in motors, relays, and inductors.

What is Induced EMF?

Electromotive Force (EMF) is the voltage generated when the magnetic flux through a coil changes. According to Faraday’s Law, a changing magnetic field induces an EMF, which is the principle behind transformers and electric generators.

QUESTIONS (Try to solve these at your own first):

1.      A solenoid 1.30 m long and 2.60 cm in diameter carries a current of 18.0 A. The magnetic field inside the solenoid is 23.0 mT.
Find the total length of the wire used to form the solenoid.

2.      A solenoid has 2000 turns uniformly wound over a length of 50 cm. If it carries a current of 5 A, find the magnetic field inside the solenoid

3.      A solenoid is 1.5 m long and has 6000 turns. The magnetic field inside it is measured to be 15 mT. Find the current flowing through the solenoid.

4.      A solenoid with 500 turns per meter carries a current of 3 A. What should be its length if the required magnetic field inside the solenoid is 6 mT?

5.      A solenoid has 1500 turns over a 50 cm length. If the current changes from 2 A to 5 A in 0.02 s, find the induced EMF in the solenoid(Assume the diameter of the solenoid is 2cm)

 


Question 1:

A solenoid 1.30 m long and 2.60 cm in diameter carries a current of 18.0 A. The magnetic field inside the solenoid is 23.0 mT.
Find the total length of the wire used to form the solenoid.








Question 2:

A solenoid has 2000 turns uniformly wound over a length of 50 cm. If it carries a current of 5 A, find the magnetic field inside the solenoid

 



Question 3:

A solenoid is 1.5 m long and has 6000 turns. The magnetic field inside it is measured to be 15 mT. Find the current flowing through the solenoid.





  

Question 4:

A solenoid with 500 turns per meter carries a current of 3 A. What should be its length if the required magnetic field inside the solenoid is 6 mT?



Question 5:

A solenoid has 1500 turns over a 50 cm length. If the current changes from 2 A to 5 A in 0.02 s, find the induced EMF in the solenoid(Assume the diameter of the solenoid is 2cm)

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