The diagram below shows a circuit where; R 1 = 1.0 ?, R 2 = 5.0 ?, R 3 = 2.0 ?,
ID: 1799167 • Letter: T
Question
The diagram below shows a circuit where;R1= 1.0 ?,R2= 5.0 ?,R3= 2.0 ?,V1= 10.2 Volts,V2= 1.5 Volts, andV3= 7.5 Volts. What is the value ofI1? In solving this problem, initially pick the current directions as shown. If the actual current turns out to be in the opposite direction, then your answer will be negative. If you get a negative number, enter it as negative.
Explanation / Answer
assume two loop currents as ix and iy in clockwise direction apply KVL in the first loop: 1ix + 10.2+2(ix-iy)+1.5=0 apply KVL in second loop: 1.5+5(iy-ix)+10.2+2iy - 7.5 = 0 solve those two equations ix= -3.58 iy=-1.9588 now i1=ix=-3.58