Unformatted text preview: 3) Apply the gradient operator in spherical coordinates, ∇ = e r ∂/∂r + e θ (1 /r ) ∂/∂θ + e φ (1 /r sin θ ) ∂/∂φ, (2) to A and obtain the divergence and curl of that vector in spherical coordinates. This is alternative to the way I did it in class. 4) Prove ∇ ( A · B ) = ( A · ∇ ) B + A × ( ∇ × B ) + ( B · ∇ ) A + B × ( ∇ × A ) 5) Prove R V dV ( ∇ × A ) = R S da ( n × A ), where S is the boundary area of volume V and n is the outward normal at surface element da. 1...
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- Spring '10
- Magnetism, Polar coordinate system, θ, unit vectors