CBSE Class 12-science Answered
derive the expression for the mutual inductance of two long coaxial solenoids of same length l having radii r1 and r2 (r2>r1 and l>>r2). is it the derivation for mutual inductance due to two solenoids?
Asked by Riya Satish | 29 Mar, 2011, 11:19: AM
Expert Answer
Ans-
Suppose a current i is passed through the inner solenoid 
. A magnetic field 
is produce inside whereas field outside it is zero.
. A magnetic field is produce inside whereas field outside it is zero.
is permeability of vaccum.Let 
and 
be the no of turns it each solenoid of equal length l.
and be the no of turns it each solenoid of equal length l.Therefore, flux through each turn of solenoid 
is
is
The total flux through all the turns in a length l of is
is
And we know that 
where M is the mutual inductance.
where M is the mutual inductance.Therefore mutual inductance of two long coaxial solenoids of same lenth is
Answered by | 16 Apr, 2011, 02:17: AM
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