When an inductor is connected to a 60.0 Hz source it has an inductive reactance of 54.6 Ω. Determine the maximum current in the inductor (in A) if it is connected to a 45.0 Hz source that produces a 105 V rms voltage.
Given,
Reactance (xL)=54.6Ω
Frequency (f) = 60 Hz
Voitage ( v ) = 105 V
Frequency( f )= 45 Hz
Find the maximum current in the inductor ( Imax) .
Now ,
Inductor Reactance ( xL ) .
XL = 2πfL
54 .6 = 2π x (60.0 Hz)x L
L = 0.145 H
The maximum current in the inductor .
Imax= √2Vrms/2πfL
=√2*(105V)/2π*(45)(0.145)
= 3.626 A
> I figured it out. It should be sqrt(2) * V/(2*pi*f_2*L).
Zelda1 Sat, Jul 17, 2021 8:18 PM
When an inductor is connected to a 60.0 Hz source it has an inductive reactance of...
An inductor has a 53.6-? reactance when connected to a 60.0-Hz source. The inductor is removed and then connected to a 51.0-Hz source that produces a 80.0-V rms voltage. What is the maximum current in the inductor?
When an inductor is connected to a 60.0 Hz source it has an inductive reactance of 56.8 Ω. Determine the maximum current in the inductor (in A) if it is connected to a 45.0 Hz source that produces a 120 V rms voltage
What is the inductive reactance of a 2 mH inductor at a frequency of 1000 Hz? A. 68.3 Ω B. 12.56 Ω C. 204.4 Ω D. 20.25 Ω What is the inductive reactance of a 2 H inductor in a 60 Hz, AC circuit? A. 0.08 Ω B. 753.60 Ω C. 948 Ω D. 120 Ω A circuit contains a 60 mH and a 40 mH inductor connected in parallel. The circuit has a source voltage of 100 VAC and...
What is the inductive reactance of a 0.5 H inductor connected with a 1000 Ω resistor in an AC circuit supplied with 48 VAC at 100 Hz? A. 150.72 Ω B. 500 Ω C. 314 Ω D. 0.31 Ω Which of the following denotes inductive reactance? A. R B. H C. X L D. Z A 10 mH inductor and a 100 Ω resistor are connected in parallel. The circuit is supplied with 24 VAC at 2000 Hz. What is...
12. A sinusoidal voltage Δv = (75.0 V)sin(120t) is applied to a series RLC circuit with L = 20.0 mH, C = 130.0 μF, and R = 32.0 Ω. (a) What is the impedance of the circuit? Ω (b) What is the maximum current in the circuit? A 11.An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a...
An AC source has an output rms voltage of 78 V at a frequency of 80 Hz. If the source is connected across a 25mH inductor, what are (a) the inductive reactance of the circuit, (b) the rms current in the circuit and (c) the maximum current in the circuit?
An AC source has an output rms voltage of 71.0 V at a frequency of 41.5 Hz. The source is connected across a 25.5-mH inductor. (a) Find the inductive reactance of the circuit. (b) Find the rms current in the circuit. (c) Find the maximum current in the circuit.
1. A 8.50-Ω resistor, 6.50-mH inductor, and 110-µF capacitor are connected in series to a 45.0-V (rms) source having variable frequency. If the operating frequency is twice the resonance frequency, find the energy delivered to the circuit during one period. 2. A 1.48-mF capacitor is connected to a North American electrical outlet (ΔVrms = 120 V, f = 60.0 Hz). Assuming the energy stored in the capacitor is zero at t = 0, determine the magnitude of the current in...
The peak current through an inductor is 12.0 mA when connected to an AC source with a peak voltage of 1.0 V . What is the inductive reactance of the inductor?
An inductor and a resistor are connected in series. When connected to a 60-Hz, 90-V (rms) source, the voltage drop across the resistor is found to be 46 V (rms) and the power delivered to the circuit is 12 W. (a) Find the value of the resistance. Ω (b) Find the value of the inductance. H
> Where does the square root end in the Imax formula?
Zelda1 Sat, Jul 17, 2021 8:14 PM