Question

A circuit consisting of three ideal batteries with voltages ℰ1, ℰ2, and ℰ3, and three ideal resistors with resistances ?1, ?2, and ?3, is shown in the figure. Calculate the current ?P through point P. Let the sign of the current correspond to its direction, with "up" being positive.

ℰ1=35.5 V, ℰ2=13.5 V, ℰ3=28.5 V

?1=2.70 kΩ, ?2=21.5 kΩ, ?3=5.50 kΩ

rsity - PHYS1X + rewww ning.ca ng Lyndsay Wilams d University-PHYS 1010/1133-Winter19-MACKAY>Activities and Due Dates < ⓘ Assignment Score: 500/1700 Resources Hint Check Anwer < Question 12 of 17 > A circuit consisting of three ideal batteries with voltages & 82, and &3, and three ideal resistors with resistances R R2, and R3, is shown in the figure. Calculate the current I through point P. Let the sign of the current correspond to its direction, with "up" being positive. r, = 35.5 V, 82 = 13.5 V. 83 = 28,5 V MA 8 9 20 0 4

Answer 1

V_1 = 35.5 v, v_2 = 15.5 v, v_3 = 28.5 v R_1 = 2.76 k ohm R_2 = -21.5 k ohm R_3 = 5.50 k ohm using KVL is left loop 2.70 I + 21. 5 i_1 + 21.5 i_2 = 13.5 - 35.5 24.2 i_1 + 21.5 i_2 = -22 equation (1) using KVL in right loop 5.50 i_2 + 21.5 i_1 + 21. 5 i_2 = 13.5 - 28.5 21.5 i_1 + 27 i_2 = -15 equation (2) solving equation (1) and equation (2) i_1 = -1.149 na current through point p i_p = 1.149 ma