Ampere's Circuital Law
Sometimes we show an idealised magnetic field which is uniform in a given region and falls to zero abruptly. One such field is represented in figure (35-E12). Using Ampere's law over the path PQRS, show that such a field is not possible.
Q. A long cylindrical conductor of radius R carries current such that current density J(r) varies with distance ‘r′ from central axis of cylinder. If magnetic field at a distance r(r<R) from axis is B(r)=2r3. Then current density J(r) will be given as
Q. An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the correct representation of magnetic field (B) as a function of radial distance (r) from the axis of cylinder.
Q. A current is flowing through a thin cylindrical shell of radius R. If energy density in the medium, due to magnetic field, at a distance r from axis of the shell is equal to U then which of the following graphs is correct
Q. A current of 14π amp is flowing in a long straight conductor. The line integral of magnetic induction around a closed path enclosing the current carrying conductor is
The magnetic field due to a straight conductor of uniform cross section of radius a and carrying a steady current is represented by