A cylinder with radius and length both equal to a has a volume charge density p= 2po(z/a), where po is a constant of appropriate dimension. The cylinder is centred at the origin with its axis of symmetryalong the z axis. Which of the following statements are TRUE?%3DO The dipole moment p will be different if we translate the origin of the coordinates to (a, a, 0).Op= (7/6)pga*z.A positive test charge Q is brought from oo to a position (R, R, 0), where R> a. The ratio of work done if the volume around cylinder is a vacuum W, to that if it is surrounded by a dielectric Wa isW/Wa = , where e, is the relative permittivity of the dielectric.O The force on the test charge described in the previous option is in the -2 direction.

In any system where there is a charge separation, a dipole moment develops. Therefore, they can…

A cylinder with radius and length both equal to a has a volume charge density p=2po(z/a), where pe is a constant of appropriate dimension. The cylinder is centred at the origin with its axis of symmetry along the z axis. Which of the following statements are TRUE? The dipole moment p will be different if we translate the origin of the coordinates to (a, a, 0). O p = (=/6) pea¹z 0 D A positive test charge Q is brought from oo to a position (R, R, 0), where Ra. The ratio of work done if the volume around cylinder is a vacuum W, to that if it is surrounded by a dielectric Wais W₁/W₁= where , is the relative permittivity of the dielectric. The force on the test charge described in the previous option is in the - direction.

A cylinder with radius and length both equal to a has a volume charge density p=2po(z/a), where pe is a constant of appropriate dimension. The cylinder is centred at the origin with its axis of symmetry along the z axis. Which of the following statements are TRUE? The dipole moment p will be different if we translate the origin of the coordinates to (a, a, 0). O p = (=/6) pea¹z 0 D A positive test charge Q is brought from oo to a position (R, R, 0), where Ra. The ratio of work done if the volume around cylinder is a vacuum W, to that if it is surrounded by a dielectric Wais W₁/W₁= where , is the relative permittivity of the dielectric. The force on the test charge described in the previous option is in the - direction.