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Explain and derive equation for division of current in parallel circuits​

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Answer:

We can check our calculations as according to KIRCHHOFF's CURRENT Rule, all the branch CURRENTS will be equal to the total current, so: IT = IR1 + IR2 + IR3 = 10 + 4 + 1 = 15 amperes, as expected. Thus we can see that the total current, IT is divided according to a simple ratio determined by the branch resistances.



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