Find gradient of B if B = rθϕ if X is in spherical coordinates.
Posted: Thu Jul 14, 2022 9:41 am
a) \(θϕ \, a_r – ϕ \,a_θ + \frac{θ}{sin(θ)} a_Φ \)
b) \(rθϕ \, a_r – ϕ \,a_θ + r \frac{θ}{sin(θ)} a_Φ \)
c) \(θϕ \, a_r – ϕr \,a_θ + \frac{θ}{sin(θ)} a_Φ \)
d) \(θϕr \, a_r – ϕ \,a_θ + r\frac{θ}{sin(θ)} a_Φ \)
b) \(rθϕ \, a_r – ϕ \,a_θ + r \frac{θ}{sin(θ)} a_Φ \)
c) \(θϕ \, a_r – ϕr \,a_θ + \frac{θ}{sin(θ)} a_Φ \)
d) \(θϕr \, a_r – ϕ \,a_θ + r\frac{θ}{sin(θ)} a_Φ \)