For the circuit to the right, consisting of three ideal batteries and three idea
ID: 1514649 • Letter: F
Question
For the circuit to the right, consisting of three ideal batteries and three ideal resistors, calculate the current through point P. Let the sign of the current correspond to its direction, with "up" being positive.
Map sapling learning For the circuit to the right, consisting of three ideal batteries and three ideal resistors, calculate the current through point P. Let the sign of the current correspond to its direction, with "up" being positive. ,-23.5 V, £,-16.5 V, e,24.0 V Ri-4.50 kQ, R,-15.5 kQ, R3=8.50 k Number .186 mAExplanation / Answer
let current in left loop i1 (clockwise) and current in right loop i2 (counterclockwise).
kirchoff low in left loop
R1*i1 - E1 + E2 + R2*(i1 + i2) = 0
4.5*i1 - 23.5 + 16.5 + 15.5*(i1 + i2) = 0
20*i1 + 15.5*i2 = 7 ... (1)
kirchoff low in right loop
-E3 + R3*i2 + E2 + R2*(i1 + i2) = 0
- 24.0 + 8.5*i2 + 16.5 + 15.5*(i1 + i2) = 0
15.5*i1 + 24*i2 = 17.5 ... (2)
multiply by (20/15.5)
20*i1 + 30.96*i2 = 22.58
substract from eq(1)
(30.96 - 15.5)*i2 = (22.58 - 7)
i2 = 1.007 mA
20*i1 + 15.5*1.007 = 7
i1 = - 0.43 mA [ANSWER]