CBSE 2026 · Region 5 · Set 1 · Q24 · 3 marks
A long solenoid of length L and radius $\displaystyle \mathrm{r}_{1}$ having $\displaystyle \mathrm{N}_{1}$ turns is surrounded symmetrically by a coil of radius $\displaystyle \mathrm{r}_{2}\left(>\mathrm{r}_{1}\right)$ having $\displaystyle \mathrm{N}_{2}$ turns $\displaystyle \left(\mathrm{N}_{2} \ll \mathrm{~N}_{1}\right)$ around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is $\displaystyle \mathrm{M}_{12}=\mathrm{M}_{21}$ valid in this case?
Marking-scheme solution
Deriving the expression for mutual inductance of solenoid and coil. Validating $\displaystyle \mathrm{M}_{12}=\mathrm{M}_{21}$ $\displaystyle 1$
Electromagnetic InductionInductanceApplyshort_answerhard
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CBSE Class 12 Physics past-paper question from the 2026board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.