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Exam Questions Papers - Engineering

Q1:

convert into spherical co-ordinates.

A
A = 2 sinθ[sinθ tanΦa r + sinΦa θ + a Φ]

B
A = 2 sinΦ[sinΦ tanΦa r + sinΦa θ + a Φ]

C
A = 2 sinΦ[sinΦ tanΦa r - sinΦa θ - a Φ]

D none of these

ANS:D - none of these

Spherical : Ar = A. a r =.sinθ.sinφ = Aθ = A. a θ =.cosφsinφ = 2 sin2φ Aφ = Aa φ =cosφ = 2 sinφ ∴ A = a r + 2sin2φa θ + 2sinφaφ A = 2sinφ[sinθ tanφ a r + sinφa θ + aφ].