Mathematics · Electric Circuits
An electric current of 10 A is divided into three parallel branches named branch 1, branch 2, and branch 3, respectively. The lengths of the wires in the three branches are proportional to 1, 2, and 4. If wires of the same material and cross-section are used, what are the values of the currents in branch 1, branch 2, and branch 3, respectively?
- 1I 1 = 5.521 A, I 2 = 2.174 A, I 3 = 1.304 A
- 2I 1 = 5.315 A, I 2 = 2.105 A, I 3 = 1.579 A
- 3I 1 = 5.714 A, I 2 = 2.857 A, I 3 = 1.428 A✓
- 4I 1 = 5.451 A, I 2 = 2.722 A, I 3 = 1.818 A
Correct answer
I 1 = 5.714 A, I 2 = 2.857 A, I 3 = 1.428 A
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