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Electronics and Communication Engineering (ECE) : Electromagnetic Field Theory - Quiz(MCQ)
Transform the spherical system B = (10/r)i + (10cos θ)j + k into cylindrical form at (5, π/2, -2)
A)
2.467i – j + 1.167k
B)
2.467i + j + 1.167k
C)
2.467i – j – 1.167k
D)
2.467i + j – 1.167k

Correct Answer : Option (B) :   2.467i + j + 1.167k


Explanation : The equivalent cylindrical form is given by,
B = (10sin θ/r + rcos2θ)i + j + (10cos θ/r –r sin θ cos θ)k
At (5, π/2, -2), r = √(52+-22) = √29
sin θ = 5/√29 and cos θ = -2/√29
Thus, B = 2.467i + j + 1.167k.

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