Four identical long solenoids A, B, C and D are connected to each...

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 $3T$ the field at the center of $C$ would be : (Assume that the magnetic field is confined with in 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

Options

A $12T$
B $6T$
C $9T$
D $1T$

Correct answer

D. $1T$

Step-by-step solution

Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field

$ϕ ∝ i$ $⇒ B ∝ i$ , so, the field at the center of $C = \dfrac{3}{3} = 1T$ .

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