Question

An inductor has a 50 ohm reactance at 61 Hz. What will be the maximum current...

An inductor has a 50 ohm reactance at 61 Hz. What will be the maximum current if this inductor is connected to a 54 Hz source that produces a 120-V rms voltage?

0.18 A

3.83 A

3.44 A

12.05 A

none of the above

Homework Answers

Answer #1

Given that:

Inductive reactance, R = 50 Ω when f = 61 Hz

Therefore, Inductance (L) is given by:

L = (R) / (2πf)

L = (50) / (2 x 3.14 x 61)

L = 0.13045 H

Hence, Inductive reactance when f = 54 Hz is given by:

R = 2πf.L

R = (2 x 3.14 x 54) x 0.13045

R = 44.26 Ω

Therefore, rms current through the inductor is given by:

Irms = (Vrms) / (R)

Irms = (120 V) / (44.26 Ω)

Irms = 2.71 A

Hence, Maximum current (Im) is given by:

Im = (Irms) x sqrt (2)

Im = (2.71 A) x (1.414)

Im = 3.83 A ----------- (**Answer**)

  • Correct option is : 3.83 A

=====================================================

(Please rate the answer if you are satisfied. In case of any queries, please reach out to me via comments)

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
16. In an RLC circuit, a resistor R x 8 Ohm, a capacitor of 330 micro...
16. In an RLC circuit, a resistor R x 8 Ohm, a capacitor of 330 micro Faraday, and an inductance of 50 mH are connected in series. The circuit is connected to an alternating source that delivers a voltage equal to: V-250- without (314 t) (volts) Identify and calculate: a) The maximum voltage of the source. b) The frequency of the source. c) The RMS voltage of the source. d) Capacitive reactance. e) Inductive reactance. f) The impedance of the...
An AC source of rms voltage 50 V and frequency 150 Hz is connected to the...
An AC source of rms voltage 50 V and frequency 150 Hz is connected to the primary coil of a transformer that has 5000 turns on the primary side and 7500 turns on the secondary side. If the secondary coil is connected to a 150 ohm load, determine the current flowing through the primary coil. 0.75 A 1.25 A 0.25 A 0.50 A
1.) A 2k resistor has a peak voltage of 10 v applied to it, calulate the...
1.) A 2k resistor has a peak voltage of 10 v applied to it, calulate the instantaneous value of current at 62 degrees? 2.) A sine wave with a peak value of 120 v has an rms value of? 3.) A 0.047 uF capacitor will provide 100k of reactance at ___ Hz? 4.)what is the Xc if a 120 V 60Hz source is connected to a capacitor and the IC is Equal to 0.12 A? 5.) A 60 uH inductor...
A 1.15-kΩ resistor and a 590-mH inductor are connected in series to a 1450-Hz generator with...
A 1.15-kΩ resistor and a 590-mH inductor are connected in series to a 1450-Hz generator with an rms voltage of 15.0 V . What is the rms current in the circuit? What capacitance must be inserted in series with the resistor and inductor to reduce the rms current to half the value found in part A?
A 1.15-k? resistor and a 600-mH inductor are connected in series to a 1150-Hz generator with...
A 1.15-k? resistor and a 600-mH inductor are connected in series to a 1150-Hz generator with an rms voltage of 14.3 V . A.) What is the rms current in the circuit? 3.19mA. B.) What capacitance must be inserted in series with the resistor and inductor to reduce the rms current to half the value found in part A (in nF)?
Part A.) At what frequency (in Hz) are the reactances of a 66-mH inductor and a...
Part A.) At what frequency (in Hz) are the reactances of a 66-mH inductor and a 71-μF capacitor equal? Part B.) An inductor has an inductance of 0.077 H. The voltage across this inductor is 68 V and has a frequency of 810 Hz. What is the current in the inductor? Part C.) An ac generator has a frequency of 6.0 kHz and a voltage of 35 V. When an inductor is connected between the terminals of this generator, the...
An ac generator with an rms voltage 120 V is and a frequency of 60 Hz...
An ac generator with an rms voltage 120 V is and a frequency of 60 Hz is connected with a 15 µF capacitor, and a 30 mH inductor and a resistor R.     What value must R have if the rms current in this circuit it to be 5 mA?       Calculate the rms voltage across the resistor.
Please answer both questions with details. Thanks. 1) What is the inductive reactance of an inductor...
Please answer both questions with details. Thanks. 1) What is the inductive reactance of an inductor with inductance 3.2e-3 H in a circuit with a voltage of 4 V and a frequency of 30 Hz? 2) What is the net impedance of a circuit with frequency 120 Hz which has a 13 Ω resistor and a 23μF capacitor in series?
A resistor, 50.0-mH inductor, and 100.0-µF capacitor are connected in series with a 50 Hz voltage...
A resistor, 50.0-mH inductor, and 100.0-µF capacitor are connected in series with a 50 Hz voltage source and an impedance of 75.0 Ώ. What average power is delivered to this circuit when delta Vrms = 210 V
An RLC series circuit has a 2.25 Ω resistor, a 85 μH inductor, and a 72.5...
An RLC series circuit has a 2.25 Ω resistor, a 85 μH inductor, and a 72.5 μF capacitor. A) Find the circuit’s impedance, in ohms, at 135 Hz. (b) Find the circuit’s impedance, in ohms, at 2.5 kHz. (c) If the voltage source supplies an rms voltage of 5.58 V, what is the circuit’s rms current, in amperes, at a frequency of 135 Hz? (d) If the voltage source supplies an rms voltage of 5.58 V, what is the circuit’s...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT