CBSE Class 12-science Answered
please solve it
![question image](http://images.topperlearning.com/topper/new-ate/top_mob1674561729651996360IMG_20230124_172508.jpg)
Asked by yadavabhishek66686668 | 24 Jan, 2023, 17:32: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/3bd3f82451ff86fbeb38ede202a436bc63cfe820f14c15.69345966f5.png)
Let us assume a single turn coil of radius r is placed coaxially with another coil of radius R as shown in figure.
Let R > > r .
Let I1 is the current passing through the outer coil of radius R .
Change in current from 0 to I1 in outer coil induces current I2 in the inner coil .
Mutual inductance M of this setup is defined as
φ2 = M I1..............................(1)
where φ2 is the flux of magnetic field passing through the area of inner coil .
since R > > r , let us consider flux of magnetic field due to current I1 is uniform over inner coil area
If B is magnetic field induction in the area of inner coil due to current I1 in outer coil, then
φ2 = B ×
r22 =
×
r2 .................................(2)
![begin mathsize 14px style straight pi end style](https://images.topperlearning.com/topper/tinymce/cache/df87b0d41373b1aae9f4b0b7068f8599.png)
![begin mathsize 14px style fraction numerator mu subscript o I subscript 1 over denominator 2 space R end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/096bdec6adfebe1fb417afe7291f2fc1.png)
![begin mathsize 14px style straight pi end style](https://images.topperlearning.com/topper/tinymce/cache/df87b0d41373b1aae9f4b0b7068f8599.png)
By comparing eqn.(1) and eqn.(2) , we get ![begin mathsize 14px style M space equals space pi over 2 cross times space mu subscript o space cross times r squared over R end style](https://images.topperlearning.com/topper/tinymce/cache/d1409c3d418230111f1d8e7e7a0d0187.png)
![begin mathsize 14px style M space equals space pi over 2 cross times space mu subscript o space cross times r squared over R end style](https://images.topperlearning.com/topper/tinymce/cache/d1409c3d418230111f1d8e7e7a0d0187.png)
Answered by Thiyagarajan K | 24 Jan, 2023, 20:04: PM
Concept Videos
CBSE 12-science - Physics
Asked by azadtanbir682 | 14 Jun, 2023, 23:28: PM
CBSE 12-science - Physics
Asked by yadavabhishek66686668 | 24 Jan, 2023, 17:32: PM
CBSE 12-science - Physics
Asked by sahilposwal28 | 21 Aug, 2020, 14:20: PM
CBSE 12-science - Physics
Asked by abhitailor158 | 21 Apr, 2020, 10:07: AM
CBSE 12-science - Physics
Asked by alanpeter9611 | 01 Mar, 2019, 00:47: AM
CBSE 12-science - Physics
Asked by Topperlearning User | 07 Jul, 2015, 11:18: AM
CBSE 12-science - Physics
Asked by Topperlearning User | 07 Jul, 2015, 11:24: AM
CBSE 12-science - Physics
Asked by Topperlearning User | 07 Jul, 2015, 11:36: AM
CBSE 12-science - Physics
Asked by Topperlearning User | 07 Jul, 2015, 11:36: AM
CBSE 12-science - Physics
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM