An iron bar which is 80 cm long is bent in a shape as shown....

Name: An iron bar which is 80 cm long is bent in a shape as shown. The ends of the bar do not touch; they are 4 mm apart. There is a coil with 1000 turns (see the figure). The current through the coil is 2 A. ?? = 200 for the 80 cm long iron core. What is the approximate magnetic field strength (in Tesla) inside the air gap at P?
Uploaded: 2024-05-10T09:56:26-08:00
Duration: 6 min 12 s
Channel: Adi S
Description: An iron bar which is 80 cm long is bent in a shape as shown. The ends of the bar do not touch; they are 4 mm apart. There is a coil with 1000 turns (see the figure). The current through the coil is 2 A. ?? = 200 for the 80 cm long iron core. What is the approximate magnetic field strength (in Tesla) inside the air gap at P?

An iron bar which is 80 cm long is bent in a shape as shown. The ends of the bar do not touch; they are 4 mm apart. There is a coil with 1000 turns (see the figure). The current through the coil is 2 A. ?? = 200 for the 80 cm long iron core. What is the approximate magnetic field strength (in Tesla) inside the air gap at P?

Transcript

00:01 As per the question, this is the iron bar as given in the question.

00:06 This represents the iron bar where there is a gap at this point.

00:12 At this point, this is the gap which can if we zoom it out, the gap looks something like this.

00:19 This is the top rod.

00:20 This is the down rod.

00:21 Let us say this is point p.

00:23 The gap is of 4 millimeters.

00:26 This is air gap.

00:28 Now for this we are given that length of the bar is equal to 80 cm that is equal to 0 .8 m.

00:38 Similarly, l ' that is the change in length is 4 mm.

00:44 This change means the ends of the bar do not touch at this distance that is the gap l'.

00:54 L ' so l ' can be written as 0 .004 meters.

01:01 Similarly we are given with the value of current that is equals to 2 amperes.

01:05 The value of km is equals to 200 for 80 centimeter long.

01:12 Similarly we are given that n that is the number of turns is equals to 1000.

01:18 Now these are the details already given to was.

01:20 According to these details, according to the question, we know that psi is equal to the magnetic flux.

01:30 Magnetic flux.

01:32 So, the formula is that psi into l divided by nu a plus l dash divided by nu naught a will be equal to ni.

01:46 A here represents the area of cross section.

01:52 Area of cross section.

01:54 Now here in the given case in the given question the area of cross section, area of cross section area of cross section of the air gap will be equal to the area of cross section of the iron bar therefore this a will represent the area of cross section of the air gap as well therefore we know that for this formula km is equals to neo divided by neo naught...

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