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Mutual Induction (in Hindi)
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Mutual inductance, theory and example

Udit Gupta
A Mechanical Engineer from NIT Allahabad here to help learners with physics. Also a Star ⭐ educator.

U
mam plzz dont leave the course in midway like others,,,, as u r our only hope for csat-2 plzzz continue reading comprehension.....
Rajni Jha
a year ago
sure
A
sir if solenoid is producing B. nd another magnetic field jst came into in act. then how does this B field will affect the inside magnetic field nd tha equation......
Udit Gupta
5 months ago
Just add up vectorially.. That is the fundamnetal of adding two magnetic fields.
A
Arin
5 months ago
tnq sir....
Sir hoe does the radius come out be same (r1) in both M12 and M21?
Udit Gupta
a year ago
All you have to grab is that M12 is equal to M21 because of its name as mutual induction. Now we dont put eother r1 or r2 according to.us. Rather what we do is use the funda that the flux througj the smaller ring will have a constant or same value of magnetic field. The same cannot be said for flux passing through the bigger ring. So basically we calculate the flux throuh smaller ring is all..
Udit Gupta
a year ago
From that flux just relate phi = Mi.
ok done sir ....thank u 😄
Sir what is important in wave optics from board point of view.
sir the n is no of turns per unit length na????
Udit Gupta
a year ago
yes.
Mayank Kumar
a year ago
ohk...
it may be a silly doubt.if we take two coils of different size, then magnetic field produced will vary or will remain same as eastablished in first coil?
Udit Gupta
a year ago
remains same for a solenoid type of coil as it is u(not)ni. but for single coil, it woll be different u(not)i/2(pi)r.
Udit Gupta
a year ago
see for a single coil you can treat it as circular loop. Then the magnitude is different for different radius of loop. B inversely proportional to r. But when you talk about many loops (solenoid) then it will remain same as long as your number of loops per unit length remain same. because there B = (mewnot)ni.
Puja sharma
a year ago
jis coil me field produce hoti he,uska flux lete he.ri8
Udit Gupta
a year ago
ek ki field jab usi mei consider karo toh self induction. aur ek ki field jab dusre mei tab mutual.
1. Electromagnetic Induction Mutual Induction

2. Greetings! My name is Udit Gupta. The second of inductions and definitely a bit tough. Just follow the lead. This topic has its limitations and I will try to cover all what it has to offer. If you can get a feel of the name - Mutual Induction, it will be a lot easier to grasp My user id on unacademy is: https://unacademy.com/user/uditl3

3. What is Mutual induction? Suppose two closed circuits are placed close to each other and a current i is passed in one. It produces a magnetic field and this field has a flux through the area bounded by the other circuit. As the magnetic field at a point is proportional to the current producing it, we can write, = Mi

4. Mutual induction Here M is a constant depending on the geometrical shapes of the two circuits and their placing. This constant is called mutual inductance of the given pair of circuits. If the same current i is passed in the second circuit and the flux is calculated through the area bounded by the first circuit, the same proportionality constant M appears. If there are no more than one turns in a circuit, one has to add the flux through each turn before applying the equation Mi

5. Mathematics in Mutual induction If the current i in one circuit changes with time, the flux through the area bounded by the second circuit also changes. Thus, an emf is induced in the second circuit. This phenomenon is called mutual induction. The induced emf can be stated as: di dt dt

6. Example A solenoid si is placed inside another solenoid S2 as shown in the figure. The radii of the inner and the outer solenoids are r1 and r2 respectively. The number of turns per unit length are ni and n2 respectively. Consider a length l of each solenoid. Calculate the mutual inductance between them S2 Si

7. Answer Suppose a current i is passed through the inner solenoid S1. A magnetic field B Hond s produced inside S1 whereas the field outside it is zero. The flux through each turn of S2 is: 01L1 The total flux through all the turns in a length l of S2 is: Thus,

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