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A steady current I flows along an infini...

A steady current `I` flows along an infinitely long hollow cylindrical conductor of radius `R`. This cylinder is placed coaxially inside an infinite solenoid of radius `2 R`. The solenoid has a `n` turns per unit length and carries a steady current `I`. Consider a point `p` at a distance `r` from the common axis . The correct statement(s) is (are)

A

In the region `0 lt r lt R`, the magnetic field is non-zero

B

In the region `R lt r lt 2R,` the magnetic field is along the common axis.

C

In the region `R lt r lt 2R,` the magnetic field is tangential to the circle of radius r, centred on the axis.

D

In the region `r gt 2R`, the magnetic field in non-zero.

Text Solution

Verified by Experts

The correct Answer is:
A, D
(a,d): Due to field of solenoid is non zero in region `0 lt r lt R` and
non zero in region `r gt 2R` due to conductor.
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Knowledge Check

  • The magnetic field on the axis of a long solenoid having n turns per unit length and carrying a current is

    A
    `mu_(0)ni`
    B
    `mu_(0)n^(2)i`
    C
    `mu_(0)ni^(2)`
    D
    none of these

  • The magnetic field B within the solenoid having n turns per unit length and carrying a current I is given by

    A
    `mu_0 n I`
    B
    `4 pi mu_0 n I`
    C
    `nI`
    D
    `mu_0 n Il`

  • A solenoid of radius R number of turn per unit length n and length L has a current I=I_(0) cos omega t . The value of induced electric field at a distance of r outside the solenoid, is :

    A
    `(mu_(0)nI_(0)omegaR^(2))/(2r) sin omega t`
    B
    `(mu_(0)nI_(0)omegaR^(2))/(r ) sin omega t`
    C
    `(mu_(0)nI_(0)R^(2))/(2r) sin omega t`
    D
    zero

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