1.
Express IR3 and IR4 in terms of Vref, R1, R2, R3, and R4 for circuits in the following figure.
(Total 2 expressions) (Show work)
Solution
Total resistance of the circuit = R 1 R 2 /(R 1 +R 2 ) + R 3 R 4 /(R 3 +R 4 )
current in the circuit = V ref/( R 1 R 2 /(R 1 +R 2 ) + R 3 R 4 /(R 3 +R 4 ))
I R1 = V ref/( R 1 R 2 /(R 1 +R 2 ) + R 3 R 4 /(R 3 +R 4 ))Â Â * R 2 /(R 1 +R 2 ) (ans)
I R2 = V ref/( R 1 R 2 /(R 1 +R 2 ) + R 3 R 4 /(R 3 +R 4 )) * R 1 /(R 1 + R 2 ) (ans)
I BA = V ref/( R 1 R 2 /(R 1 +R 2 ) + R 3 R 4 /(R 3 +R 4 ))(ans)
I R3 =V ref/( R 1 R 2 /(R 1 +R 2 ) + R 3 R 4 /(R 3 +R 4 ))(ans)
I R4 =0(ans) , beacause current flows in minimum resistance which is providd by I BA , So current
will not pass through I R4 .