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A cylinder of length L and radius b has ...

A cylinder of length L and radius b has its axis coincident with x-axis. The electric field in this region is `vecE = 200hati`. Find the flux through the left end of the cylinder.

A

`0`

B

`200pib^2`

C

`100pib^2`

D

`-200pib^2`

Text Solution

Verified by Experts

The correct Answer is:
D
d. `phi = EA cos theta = Epib^2 cos 180^@ = -200 pi b^2`
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Knowledge Check

  • A cylinder of length L and radius b has its axis coincident with the x-axis. The electric field in the region vecE=200hati . Find the flux through (i) the left end of cylinder (ii) the right end of cylinder (iii) the cylinder curved surface, (iv) the closed surface area of the cylinder .

    A
    (i) `-100pib^(2)(ii) 100 pib^(2)(iii) 50pi b^(2) (iv) 50pib^(2)`
    B
    `(i)-200pib^(2)(ii)200pib^(2)(iii) 0(iv)0`
    C
    `(i)-100pib^(2)(ii) 100pib^(2)(iii) 100pib^(2) (iv) 100 pib^(2)`
    D
    `(i)-200pib^(2)(ii) 200pib^(2)(iii) 200pib^(2)(iv) 200pib^(2)`

  • A hollow cylinder of length L and radius R having surface area A is placed horizontally with its axis parallel to an external field E. The electric flux through the surface of the cylinder is

    A
    Zero
    B
    `2piRLE`
    C
    `2 piR^2E`
    D
    E . A

  • A hollow cylinder of length L and radius R having surface area A is placed horizontally with its axis parallel to an external field E. The electric flux through the surface of the cylinder is

    A
    Zero
    B
    `2piRLE`
    C
    `2 piR^2E`
    D
    E . A
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