The document provides expressions for the currents IR3 and IR4 in terms of the circuit components Vref, R1, R2, R3, and R4. IR3 is equal to the total current flowing in the circuit, which is expressed as Vref divided by the total resistance of the circuit. IR4 is equal to 0 because the current flows through the minimum resistance path between R3 and the voltage source, not through R4.

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 .