Question

As a designner you have to obtain results using resistors to follow equation :

R3 <- R1 + R2

What would be an appropriate circuit to do so and why?

Answer 1

The equivalent resistance of the series connection is:

$Req ​=R+R+R+R=4Rohm$

The total current in the circuit ,

$I=V/R=12/4R=3/R$

Reading of voltmeter A = Voltage across R1

​$=I×R1\\ ​=3/R×R=3V$

Reading of voltmeter B = Voltage across R2

$​=I×R2\\ ​=3/R×R=3V$

Reading of voltmeter C = Voltage across the series combination of R3

​ and R4

$​=I×(R3​+R4 ​)=3/R×2R=6V$