Find gradient of B if B = ϕln(r) + r2 ϕ if B is in spherical coordinates.
Posted: Thu Jul 14, 2022 9:41 am
a) \(\frac{ρ}{r}+ 2rθ \,a_r – r a_θ + \frac{lnr}{rsin(θ)} a_Φ \)
b) \(\frac{ρ}{r}+ 2rϕ \,a_r – r a_θ + \frac{lnr}{rsin(θ)} a_Φ \)
c) \(\frac{ρ}{r}+ 2rθ \,a_r – r^2 a_θ + \frac{lnr}{rsin(θ)} a_Φ \)
d) \( \frac{ρ}{r}+ 2rϕ \,a_r – r^2 a_θ + \frac{lnr}{rsin(θ)} a_Φ \)
b) \(\frac{ρ}{r}+ 2rϕ \,a_r – r a_θ + \frac{lnr}{rsin(θ)} a_Φ \)
c) \(\frac{ρ}{r}+ 2rθ \,a_r – r^2 a_θ + \frac{lnr}{rsin(θ)} a_Φ \)
d) \( \frac{ρ}{r}+ 2rϕ \,a_r – r^2 a_θ + \frac{lnr}{rsin(θ)} a_Φ \)