Home
Class 12
PHYSICS
A coiaxial cable consists of two thin co...

A coiaxial cable consists of two thin coaxial cylinders electrically connected at one end, an inner cylindrical conducting tube of radius a carrying a steady current l which is screened by an outer cylindrical conducting sheath of radius b which provides a return path. There is no dielectric medium present.
Use Ampere's theorem to derive the total magnetic energy stored in the space between the conductors, show that the inductance of a length l of the cable is
`L=(mu_(0)l)/(2pi)ln((b)/(a))`
In this cable (a = 5 mm, b = 10 mm, l = 1000 m) is now employed in a (resistanceless) LC circuit containing a capacitance C = 1000 `muF`, determine the period of oscillations (neglect the capacitance of the cable itself).

Text Solution

Verified by Experts

2.33 ms
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    AAKASH INSTITUTE|Exercise EXERCISE|17 Videos

  • ELECTROMAGNETIC INDUCTION

    AAKASH INSTITUTE|Exercise ASSIGNMENT(SECTION - A) (OBJECTIVE TYPE QUESTIONS)|30 Videos

  • ELECTROMAGNETIC INDUCTION

    AAKASH INSTITUTE|Exercise Assignment (SECTION - I)|6 Videos

  • ELECTRIC CHARGES AND FIELDS

    AAKASH INSTITUTE|Exercise SECTION -J(Aakash Challengers Questions)|5 Videos

  • ELECTROMAGNETIC WAVES

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D Assertion-Reason Type Questions|25 Videos

Similar Questions

Explore conceptually related problems

Find the total field energy of magnetic field stored per unit length inside a long cylindrical wire of radius R and carrying a current I.

The figure shows the cross-section of a long cylindrical conductor of radius a carrying a uniformly distributed current i. The magnetic field due to current at P is :

Knowledge Check

  • A steady electric current is flowing through a cylindrical conductor. Then,

    A
    the electric field at the axis of the conductor is zero
    B
    the magnetic field at the axis of the conductor is zero
    C
    the electric field in the vicinity of the conductor is zero
    D
    the magnetic field in the vicinity of the conductor is zero

  • A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the conductor is correctly represented by the figure:

    A
    B
    C
    D

  • A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field, B with the distance, d from the centre of the conductor, is correctly represented by the figure

    A
    B
    C
    D

    • Similar Questions

    Explore conceptually related problems

    A long coaxial cable consists of two concentric cylinders of radii a and b. The central conductor of the cable carries a steady current I and the outer conductor provides the return path of the current. Calculate the energy stored in the magnetic field of length l of such a cable

    A conducting ball of radius r is charged to a potential V_0 . It is enveloped by a thin walled conducting sphere of radius R (gt r) and the two spheres are connected by a conducting wire. Find the potential of the outer sphere.

    When a steady current passes through a cylindrical conductor, is there an electric field inside the conductor?

    A cylindrical conductor of radius R is carrying a constant current. The plot of the magnitude of the magnetic field B with the distance d from the centre of the conductor, is correctly represented by the figure :

    A cylindrical conductor of radius R carrying current i along the axis such that the magnetic field inside the conductor varies as B=B_(0)r^(2)(0lt r leR) , then which of the following in incorrect?

    Home
    Profile