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Trigonometry for AC Circuits
23 questions By Tony R. Kuphaldt
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Question 19 of 23
Evaluate the length of side x in this right triangle, given the lengths of the other two sides:
Reveal answerx = 15
Notes:This question is a straight-forward test of students’ ability to identify and apply the 3-4-5 ratio to a right triangle.
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Question 20 of 23
Use a triangle to calculate the total voltage of the source for this series RC circuit, given the voltage drop across each component:
Explain what equation(s) you use to calculate Vtotal, as well as why we must geometrically add these voltages together.
Reveal answerVtotal = 3.672 volts, as calculated by the Pythagorean Theorem
Notes:Be sure to have students show you the form of the Pythagorean Theorem, rather than showing them yourself, since it is so easy for students to research on their own.
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Question 21 of 23
Use the “impedance triangle” to calculate the necessary resistance of this series combination of resistance (R) and inductive reactance (X) to produce the desired total impedance of 5.2 kΩ:
Explain what equation(s) you use to calculate R, and the algebra necessary to achieve this result from a more common formula.
Reveal answerR = 4.979 kΩ, as calculated by an algebraically manipulated version of the Pythagorean Theorem.
Notes:Be sure to have students show you the form of the Pythagorean Theorem, rather than showing them yourself, since it is so easy for students to research on their own.
