For the circuit to the right, consisting of three ideal batteries and three idea
ID: 1506940 • 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.
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. e-23.5 V, £,-16.5 V, £,-24.0 v Ri=4.50 kQ, R2=15.5 kQ, R,-8.50 k Number mAExplanation / Answer
let voltage at node1 where E1 ,E2 , R3 branches meet is V volt and opposite node of E2 branch is at ground potential let i1 , i2 , i3 are currents in E1 , E2 , E3 branch respectively entering node1 .
applying junction rule at node 1
i1 + i2 + i3 = 0
=> [(0 - (V - E1))/R1] + [(0 - (V-E2))/R2] + [(E3 - V)/R3] = 0
=> (23.5 -V)/4.50K + (16.5-V)/15.5K + (24-V)/8.5K = 0
=> 5.22*10^-3 + 1.06*10^-3 + 2.82*10^-3 = V*10^-3*(0.22 + 0.0645 + 0.117)
=> 9.1*10^-3 = 0.4015*10^-3*V
=> V = 22.66 volt
so current through p is i1 = (E1 - V)/R1 = (23.5 - 22.66)/4.5k = 0.186*10^-3 A