Find the gradient of A if A = ρ2 + z3 + cos(ϕ) + z and A is in cylindrical coordinates.
Posted: Thu Jul 14, 2022 9:41 am
a) \(2ρz^3 \, a_ρ – \frac{1}{ϕ} sin(ϕ) \, aΦ + 3ρ^2 z^2 \, a_z \)
b) \(2ρz^3 \, a_ρ – \frac{1}{ρ} sin(ϕ) \, aΦ + 3ρ^2 z^2+1 \, a_z \)
c) \(2ρz^3 \, a_ρ – \frac{1}{ϕ} sin(ϕ) \, aΦ + 3ρ^2 z^2+1 \, a_z \)
d) \(2ρz^3 \, a_ρ – \frac{1}{ρ} sin(ϕ) \, aΦ + 3ρ^2 z^2 \, a_z \)
b) \(2ρz^3 \, a_ρ – \frac{1}{ρ} sin(ϕ) \, aΦ + 3ρ^2 z^2+1 \, a_z \)
c) \(2ρz^3 \, a_ρ – \frac{1}{ϕ} sin(ϕ) \, aΦ + 3ρ^2 z^2+1 \, a_z \)
d) \(2ρz^3 \, a_ρ – \frac{1}{ρ} sin(ϕ) \, aΦ + 3ρ^2 z^2 \, a_z \)