Question

In the diagram below, ab and ac are phasors representing the alternating currents in two branches of a circuit. The line ac represents the resultant current. Find the resultant current.
Description of the diagram:
right angled triangle labelled a, b, c
line AB has 15A and line BC has 10A
the angle is 40 degrees

Answer 1

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Answer on Question #52864 – Math – Trigonometry

In the diagram below, ab and ac are phasors representing the alternating currents in two branches of a circuit. The line ac represents the resultant current. Find the resultant current.

Description of the diagram:

right angled triangle labelled a, b, c

line AB has 15A and line BC has 10A

the angle is 40 degrees

Solution

$$\begin{array}{l} V = \sqrt{15A^2 + 10A^2 - 2 * 15A * 10A \cos(180{}^\circ - 40{}^\circ)} = \\ = A \sqrt{225 + 100 + 300 * 0.766} = 23.55A. \end{array}$$