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Establish the current distribuition over 2 resisitances R₁ & R₂ connected in parallel corresponds to the minimum thermal power generated in the circuit

#Physics #Electricity and magnetism

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parnika -1 ·2009-07-14 10:22:15

i thnk ans is -i₁=r₂/r_{1_{+ r₂}}

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parnika -1 ·2009-07-29 11:34:43

give sum hint........

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Debotosh.. ·2009-07-29 19:01:49

principle of least heat:

H=I₁² R₁t + (I-I₁)²R₂t
......................................................................> DISTRIBUTING CURRENT IN PARALLEL CIRCUIT WHERE TOTAL CURRENT FROM EXT SOURCE =I

d/dt (H) = 0..........at a fixed time (t) total heat generated in the circuit is minimum.

differentiating the above eqn. and putting value of differential = 0 , we get
I₁R₁ = I₂R₂

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parnika -1 ·2009-07-30 09:35:34

thts wht i did .....but dude..!!!

recheck u r ans. how can u giv ans in terms of variable...!!!!

value of i₁ must b independent of i₂....

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