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Chapter 6: Q6P (page 334)

鈭�V脳苍诲蟽over the closed surface of the tin can bounded by if x2+y2=9,z=0,z=5ifV=2xyi鈭�y2j+(z+xy)k.

Short Answer

Expert verified

The solution derived isI=45蟺.

Step by step solution

01

Given Information.

The given expression isx2+y2=9,z=0,z=5,ifV=2xyi鈭�y2j+(z+xy)k.

02

Definition of vector.

A quantity that has magnitude as well as direction is called a vector. It is typically denoted by an arrow in which the head determines the direction of a vector and the length determines its magnitude.

03

Apply the divergence theorem.

Apply the divergence theorem.

鈭�+鈭�VV脳苍诲蟽=鈭�V鈥�鈭�脳痴诲蟿

But鈭�脳V=2y鈭�2y+1=1then the integral becomes as shown below.

I=鈭�V鈥�诲蟿=蟺32(5)

=45蟺

Hence, the solution derived is I=45蟺.

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Most popular questions from this chapter

鈭�P脳苍诲蟽over the upper half of the sphere r=1, if P=curl(jx鈭�kz).

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