For the following pair of voltage and current indicate whether the element involved is a capacitor, an inductor or a resistor.v=36sin(754t+80°) and i=4sin(754t+170°) ?(Refer to Boylestad 10th Edition Section 13.5 Phase Relations Page 535)Group of answer choicesResistorInductorCapacitorNone PreviousNext
Question
For the following pair of voltage and current indicate whether the element involved is a capacitor, an inductor or a resistor.v=36sin(754t+80°) and i=4sin(754t+170°) ?(Refer to Boylestad 10th Edition Section 13.5 Phase Relations Page 535)Group of answer choicesResistorInductorCapacitorNone PreviousNext
Solution
The element can be identified by looking at the phase difference between the voltage and the current.
In a resistor, the voltage and the current are in phase (0° phase difference).
In an inductor, the voltage leads the current by 90° (voltage is ahead of current).
In a capacitor, the current leads the voltage by 90° (current is ahead of voltage).
Given v=36sin(754t+80°) and i=4sin(754t+170°), the phase difference is 170° - 80° = 90°.
Since the current is leading the voltage by 90°, the element is a capacitor.
Similar Questions
If voltage v(t) = 60Vsin(157t + 60°) and current i(t) = 5Asin(157t + 150°). Indicate whether the element involved is a capacitor, an inductor, or a resistor. Also find the value of C, L, or R if sufficient data are givenGroup of answer choicesCapacitor, 12 ohmCapacitor, 531 uFResistor, 12 ohminductor, 153 mH
A series RLC circuit has a capacitor with a capacitance of 18.0 μF , an inductor with an inductance of 1.40 H and a resistor with a resistance of 105 Ω. The circuit has a rms current of 7.50 A when the frequency is 64.0 Hz. What is the phase angle?
A series ac circuit consists of a voltage source of frequency 60 Hz and source voltage amplitude 345 volts, a 701-Q resistor, a 1.6 - uF capacitor, and an inductor of inductance L.(a) What must be the value of L for the phase angle to be zero? (b) When L has the value calculated in part (a), what is the current amplitude in the circuit?
For purely resistive components current and voltage are in phase. Group of answer choicesTrueFalse
For purely inductive components voltage leads current by 90° . Group of answer choicesTrueFalse
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.