Answer:
2.34ohms
Explanation:
Let the resistance placed across the 3.6ohms be x, this means that they are both connected in parallel and then in series to 4.56 ohms;
The equivalent resistance is expressed as;
RT = (1/3.6+1/x) + 4.56
RT = 3.6x/3.6+x + 4.56
Since RT = 6ohms
6 = 3.6x/3.6+x + 4.56
6 - 4.56 = 3.6x/3.6+x
1.44= 3.6x/3.6+x
1.44(3.6+x) = 3.6x
5.184+ 1.44x = 3.6x
5.184 = 3.66x - 1.44x
5.184 = 2.22x
x = 5.184/2.22
x = 2.34 ohms
Hence the resistance that must be placed across 3.6ohms so that total resistance of the circuit shall be 6ohms is 2.34 ohms
