I don't understand the algebra in this answer

  • Thread starter pkc111
  • Start date
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    Algebra
  • #1
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Homework Statement
At what average rate does the magnetic field need to change to induce emf of 1.0 V.
See attachment question 1.
Relevant Equations
See attachment solution.
Why does Δ(BA) = AΔ(B) when A is constant?
Is there a proof for this algebra?
Thanks
 

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  • Question 1.png
    Question 1.png
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  • Solution.png
    Solution.png
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  • #2
Δ(AB) = (A+ΔA)(B+ΔB)-AB = AΔB+BΔA+ΔAΔB.
If A constant then ΔA=0, leaving only AΔB.
 
  • #3
Thank you haruspex.
 

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