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(a) Derive the expression for the magnet...

(a) Derive the expression for the magnetic energy stored in an inductor when a current I develops in it. Hence, obtain the expression for the magnetic energy density.
(b) A square loop of sides 5 cm carrying a current of 0.2 A in the clockwise direction is placed at a distance of 10 cm from an infinitely long wire carrying a current of 1 A as shown in Fig. 6.66. Calculate (i) the resultant magnetic force, and (ii) the torque, if any, acting on the loop.

Text Solution

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The correct Answer is:
(b) (i) `1.33 xx 10^(-8) N, attractive (ii) zero
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Knowledge Check

  • The direction of magnetic field at a point due to an infinitely long wire carrying current is

    A
    parallel to the current
    B
    antiparallel to the current
    C
    along the perpendicular drawn from a point on the wire
    D
    perpendicular to the plane containing the conductor and the point

  • The magnetic induction at a distance r from a straight, infinitely long wire in air and carrying a current I is given by

    A
    `(mu_(0))/(4pi)(2I)/(r)`
    B
    `(mu_(0))/(4pi)(I)/(r)`
    C
    `(mu_(0)I)/(pi r)`
    D
    `(2mu_(0)I)/(pi r)`

  • A square loop of side a carris a current I . The magnetic field at the centre of the loop is

    A
    `(2mu_0Isqrt2)/(pia)`
    B
    `(mu_0Isqrt2)/(pia)`
    C
    `(4mu_0Isqrt2)/(pia)`
    D
    `(mu_0I)/(pia)`

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