Saturday, April 20, 2013
Current Division in Parallel Circuit of Resistors
Consider a parallel circuit of tow resistor and connected across a source of V volts.
Current through R1 is I1 and R2 is I2 , while total current drawn from source is IT.
... IT = I1 + I2
But I1 = V/R1 , I2 = V/R2
i.e. V =I1 R1 = I2 R2
... I1 = I2 (R2/R1)
Key point
: In general, the current in any branch is equal to the ratio of
opposite branch resistance to the total resistance value, multiplied by
the total current in the circuit.
Example : Find the magnitude of total current, current through and if , R1 = 10 Ω , R2 = 20 Ω and V = 50V.
The equivalent resistance of tow is,
Req =(R1 R2 ) / ( R1 + R2 ) = (10 x 20)/ (10 + 20) = 6.67 .
IT = V/Req = 50/6.67 = 7.5 A
It can be verified that : IT = I1 + I2 .
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