What is the value of K when the current reader indicates io

What is the value of K when the current reader indicates i_o = 0.25 A

Solution

Above shown circuit is series arrangement of two resistances and in series arrangement current remains constant while voltage gets divided across the resistances,

So here I=0.025 A ...........Provided by current reader

Now consider first resistance of 150 Ohm,

here V1=I*150

i.e. V1=3.75 V

Total supply voltage is 5V so V=V1+V2

Therefore V2= 1.25V

Now consider resistance transducer,

here, V2=I * (K*125Ohm)

Putting values of I and V2

K=0.4