Solving Current Divider: Find i1 and i2

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The discussion focuses on solving a current divider problem to find the currents i1 and i2. The initial equations proposed for i1 and i2 were incorrect, leading to confusion among participants. The correct formulas for i1 and i2 were clarified as i1 = is * (R2 + Y2) / (R1 + Y1 + R2 + Y2) and i2 = is * (R1 + Y1) / (R1 + Y1 + R2 + Y2). Participants expressed frustration over the lack of responses and assistance in solving the problem. The thread emphasizes the importance of accurate equations in current divider analysis.
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Homework Statement



http://img694.imageshack.us/img694/9065/deltay.jpg

Homework Equations





The Attempt at a Solution



I am asked to find i1 and i2 using current divider, so is this correct:

i1 = (is * R1+Y1) / (R1+Y1 + R2 + Y2)

i2 = (is * R2+Y2) / (R1+Y1 + R2 + Y2)
 
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I am amazed that no one is willing to answer or help me out
 
i1 = (is * R1+Y1) / (R1+Y1 + R2 + Y2)
It is not correlate. It should be

i1 = is * (R2+Y2) / (R1+Y1 + R2 + Y2)
 
and then so i2 is:

i1 = is * (R1+Y1) / (R1+Y1 + R2 + Y2)
 
Yes.

i2 = is * (R1+Y1) / (R1+Y1 + R2 + Y2)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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