Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field at the center of A is 3 T, the field at the center of C would be : (Assume that the magnetic field is confined within the volume of respective solenoid). 
Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field at the center of A is 3 T, the field at the center of C would be : (Assume that the magnetic field is confined within the volume of respective solenoid).
Show Hint
- 1 T
- 9 T
- 6 T
- 12 T
The Correct Option is A
Solution and Explanation
Step 2: Solenoid A is in series with the parallel bank of B, C, and D. If current $I$ enters A, it splits equally into $I/3$ for B, C, and D (since they are identical).
Step 3: $B_A \propto I = 3 \text{ T}$. $B_C \propto I/3 = \frac{3 \text{ T}}{3} = 1 \text{ T}$.
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