Mechanical Engineering > GATE 2023 > Vector Calculus
A vector field
B(x,y,z)=xî+yĵ-2zk
is defined over a conical region having height h=2, base radius r=3 and axis along z, as shown in the figure. The base of the cone lies in the x-y plane and is centered at the origin. If n denotes the unit outward normal to the curved surface S of the cone, the value of the integral
equals _______.
(Answer in integer)
B(x,y,z)=xî+yĵ-2zk
is defined over a conical region having height h=2, base radius r=3 and axis along z, as shown in the figure. The base of the cone lies in the x-y plane and is centered at the origin. If n denotes the unit outward normal to the curved surface S of the cone, the value of the integral
(Answer in integer)
Correct : 36
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