Question Statement:
A cylindrical rod of length L and radius r, made of an inhomogeneous dielectric, is placed with its axis
along the z direction with one end at the origin as shown below.
If the rod carries a polarization, P = (5z' + 7)k, the volume bound charge inside the dielectric is
(A) Zero (B) 10xr'L (C) -5Tr?L (D) -5mr' L
PH| 6/16
2009 PH
Let T, = _Eika, and Px =2 i,j _Ejk-, where Eyk is the Levi-Civita density, defined to be zero if two of
the indices coincide and +1 and -1 depending on whether ijk is even or odd permutation of 1,2,3. Then
B, is equal to
(A) 2a, (B) -2a, (C) a, (D) -a,
Options:
- (A) 2a,
- (B) -2а, (С) аз
- (C) -5mr L
- (D) -Az