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Q.

Three identical long solenoids P, Q and R are connected to each other as shown in figure. If the magnetic field at the centre of P is 2.0 T, what would be the field at the centre of Q? Assume that the field due to any solenoid is confined within the volume of that solenoid only.
 

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a

5T

b

1.0T

c

0.5T

d

3T

answer is D.

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Detailed Solution

As the solenoids are identical, the currents in Q and R will be the same and will be half the current in P. The magnetic field within a solenoid is given by B=μ0ni. . Hence the field in Q will be equal to the field in R and will be half the field in P, i.e., will be 1.0 T.

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