Question

An insulating sphere of radius a carries a charge density $\rho(\vec{r}) = \rho_0 (a^2 - r^2) \cos\theta$; $r < a$. Then the value of dipole moment is a) $\frac{\rho_0 a^6}{6}$ b) zero c) $\rho_0 a^6$ d) $\frac{\rho_0 a^6}{12}$

          An insulating sphere of radius a carries a charge density $\rho(\vec{r}) = \rho_0 (a^2 - r^2) \cos\theta$; $r < a$. Then the value of dipole moment is
a) $\frac{\rho_0 a^6}{6}$ b) zero c) $\rho_0 a^6$ d) $\frac{\rho_0 a^6}{12}$

An insulating sphere of radius a carries a charge density ρ(r⃗) = ρ0 (a^2 - r^2) cosθ; r < a. Then the value of dipole moment is
a) (ρ0 a^6)/(6) b) zero c) ρ0 a^6 d) (ρ0 a^6)/(12)

Added by Natalia N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

06/27/2022

Step 1

Step 1: We are given that the charge density inside the insulating sphere is given by p(r) = Po 2cos(r), where r is the distance from the center of the sphere and Po is a constant. Show more…

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Text: Option b is correct. An insulating sphere of radius a carries a charge density p(r) = Po 2cos(r); r < a. Then the value of dipole moment is p0d pod d) 12 b) zero b0d( 6