Ohm’s law foralternating currentcircuits is E = IZ,where E is the voltagein volts, I is thecurrent in amperes,and Z is the impedancein ohms.(a) Write E in trigonometric form whenI = 6(cos 41° + i sin 41°) amperes andZ = 4[cos(−11°) + i sin(−11°)] ohms.(b) Write the voltage from part (a) in standard form.(c) A voltmeter measures the magnitude of thevoltage in a circuit. What would be the readingon a voltmeter for the circuit described in part (a)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 71E
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Ohm’s law for
alternating current
circuits is E = IZ,
where E is the voltage
in volts, I is the
current in amperes,
and Z is the impedance
in ohms.
(a) Write E in trigonometric form when
I = 6(cos 41° + i sin 41°) amperes and
Z = 4[cos(−11°) + i sin(−11°)] ohms.
(b) Write the voltage from part (a) in standard form.
(c) A voltmeter measures the magnitude of the
voltage in a circuit. What would be the reading
on a voltmeter for the circuit described in part (a)?

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