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Equivalent Emf in case of polarity being changed

  1. May 24, 2015 #1
    • Warning: Rule infraction: Homework template missing.
    I read the following statement in a book: "if polarity of m number of cells out of total n number of cells are connected in series with external resistance R is reversed then equivalent emf of such combination of cells is given by
    Eeq= (n-2m)E (where, each cell has same value of emf= E"
    I don't understand why we subtract 2m... Why not just m from the total number of cell. Please explain?
     
    Last edited: May 24, 2015
  2. jcsd
  3. May 24, 2015 #2
    it is like this:

    consider we have 4 cells of equal emf e. one is reversed.. as a result.. one is cancelled.. therefore equivalent emf is 2e=(4e-2e)

    similarly consider n cells... m is reversed.. m cells are cancelled... equivalent emf is (n-2m)e
     
  4. May 24, 2015 #3
    it is because one reversed polarity actually cancels 1 cell having opposite polarity.therefore both cell, the one reversed and one original polarity gets cancelled.. which means:
    if m cells are reversed, then 2m cells cancels of from the equivalent.. therefore equivalent emf becomes (n-2m)e
     
  5. May 24, 2015 #4
    I got it!! Thanks a lot.
     
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