Himanshu posted an Question
July 18, 2020 • 07:34 am 30 points
  • IIT JAM
  • Physics (PH)

Electricity

Solve it and explain me about the direction, it's sign of flux in details

2 Answer(s) Answer Now
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  • comment-profile-img>
    Dhairya sharma Best Answer

    dear k^ ans r^ came from spherical geometry.

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    as we know the given structure is as same as spherical geometry and that's why here it is

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    & it's value ??

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    cos@ ???

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    yes

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    it's value came from as z = rcos(thitha)

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    Now z^.r^ = z^r^cos(thitha)

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    but mam it is writing only cos@ not z r cos@

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    dear z^ basically means k^ in ijk notation k^ represents z^

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    ya mam that thing i got but if k. r= k . r cos@ why only cos@ u are putting

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    in highlighted line

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    bcoz here mode of unit vectors is one.

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    see this

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    ok mam thanks one last thing like above one please explain me how u replace ai+BJ+CK from k.r in paper

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    by digram or something so i am 💯% clear with this one

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    it depends on area vector

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    How ?? i know it's too much but I am very weak in this☹️

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    dear u should use chapter first of electrodynamics by griffiths

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    that book has excelling explanation or u can use you tube video for area vector

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    yes mam sure i have that thing for area vector is there anything related to this!??

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    yes exactly

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    formule to hi per relate Nahi kar pa raha

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    area vector se kese depend kar raha

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    dear see the geometry if ....... generally in sphere radius is constant so dr=0 now area vector will be in that direction

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    ok mam thank so much I am marking you best as always 🥰🥰🥰🥰

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    welcome dear

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    dear i answered your other questions too plz mark them as well

  • comment-profile-img>
    Dhairya sharma

    see solution

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    see attached

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    solution

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    kindly explain me in more detail about k cap & r cap how it comes there.!?? How it's value u have decided.

  • comment-profile-img>
    Chandra prakash

    see attached file it's very helpful for you dear....best regards

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    see attached file

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    see attached file

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    see attached file

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    if flux will be a vector quantity then option B should be correct. Right na ???

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    yes

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    sir kindly explain me in more detail about k cap & r cap how it comes there.!?? How it's value u have decided.

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    dear k^ ans r^ came from spherical geometry.

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    dear I think your doubt cleared already by vaishali ma'am

  • Tushar best-answer

    (A). Since the hemisphere doesn't contain any charge inside it so according to gauss's law total flux through the hemisphere is zero. Now the flux through the circular base of hemisphere is -cπR^2, therefore flux through its curved surface is cπR^2.

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    since it's going in - z axis direction so why not option B which shows its direction also

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