A solenoid has length L=1.23m and inner diameter d=3.55cm and  it carries a current I=5.57A.It consists of five close packed layers, each with 850 turns along length L.What is B at its center ? - video Dailymotion

Physics with Akhtiar Ali  Bullo

A solenoid has length L=1.23m and inner diameter d=3.55cm and  it carries a current I=5.57A.It consists of five close packed layers, each with 850 turns along length L.What is B at its center ? Physics class 12 numericals  12 class physics numericals  Inter class physics numericals  Second year physics numericals  Magnetic fields numerical solution  #education  #physics

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00:00Numerical number four of unit 18 magnetic fields is a solenoid has length L is equal

00:18to 1.23 meters and inner diameter D is equal to 3.55 centimeter and it carries a current

00:28I is equal to 5.57 ampere it consists of five close pegged layers each with 850 tons along

00:40with length L. What is the magnetic flux density or magnetic field intensity at its center?

00:51So, we will make the data

00:58length of solenoid is given length value obtained that is 1.23 meters diameter

01:14we have given diameter is equal to 3.55 centimeter.

01:23When we convert it to meter, we will divide by 100 meters.

01:33So, 3.55 divided by 100 meters.

01:37Because 1 centimeter is equal to 1 upon 100 meter. So, diameter we have obtained

01:453.55 divided by 100 it will be 0.0355 meter

01:51and current we have obtained that is 5.57 ampere and number of turns

02:07we have obtained that is 850 tons.

02:14We have magnetic field or magnetic field intensity find

02:22Karni hai means B

02:26for solution or calculation

02:27To calculate the magnetic field due to solenoid we will use formula is B is equal to

02:41mu naught n i is the value of mu naught

02:50is also constant which is 4 pi into 10 raised power minus 7 tesla into meters per ampere

03:07So, here we have a number of turns which is obtained

03:11So, first we will find number of turns per unit length

03:16So, first we will find number of turns per unit length

03:19So, we will find number of turns

03:20per unit length find karen ge means n ko hum calculate karen ge so is number of turns

03:41per unit length is calculated by using formula n is equal to capital N divided by length so

03:50number of turns are given is 850 divided by length the value of length is also given which

03:58is 1.23 so after simplification we will get the value of small n is 691 this is for one

04:15layer so far 5 layers the value of small n will be equal to 691 into 5 so it will be

04:353455 tons finally we will calculate b as b is equal to mu naught n into i so b will be

04:58equal to as the value of permeability of free space mu naught is constant which is 4 pi into

05:0710 is power minus 7 tesla into meter per ampere multiplied with number of turns per unit length

05:17which is 3455 multiplied with electric current the value of electric current is 5.57 ampere

05:30so after simplification we will get the value of b as 0.02417 tesla as 1 tesla is equal to 1000 milli tesla so

05:56b will be equal to 0.02417 multiplied with 1000 milli tesla so the final answer will be obtained as 24.17 milli tesla so this is our

06:24so this is our final answer

A solenoid has length L=1.23m and inner diameter d=3.55cm and it carries a current I=5.57A.It consists of five close packed layers, each with 850 turns along length L.What is B at its center ?

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