Question 9 of 15 Incorrect Map Sapling Learning macmillan learning For the circu

Question

Question 9 of 15 Incorrect Map Sapling Learning macmillan 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 ts direction, with "up" being positive E.= 13.0 V, E'= 15.0 V, E,-31.5 v R,-5.00 kQ, R2=12.0 kQ, R3=8.50 k Number .76 Im There is a hint available! View the hint by clicking on the bottom divider bar. Click on the divider bar again to hide the hint. Close Previous Give Up & View Solution a Check Answer Next Exit Hint

Explanation / Answer

here,

let the current through E1 , E2 and E3 be i1 , i2 and i3

using KVL in the left side loop

R1 * i1 + R2 * i2 = E1 + E2

5000 * i1 + 12000 * i2 = 13 + 15 ....(1)

using KVL in the right side loop

R3 * i3 - R2 * i2 = E3 - E2  

8500 * i3 - 12000 * i2 = 31.5 - 15 ...(2)

using KCL

i1 + i2 + i3 = 0 ...(3)

from (1),(2) and (3)

i1 = 1.5 A

i2 = - 0.64 A

i3 = - 0.9 A

the current at point P is 1.5 A

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