**Problem Statement: Inductor in AC Circuit**When an inductor is connected to a 60.0 Hz source, it has an inductive reactance of 50.2 Ω. Determine the maximum current in the inductor (in Amperes) if it is connected to a 47.0 Hz source that produces a 110 V rms voltage.**Answer:**\[ \text{Maximum Current} (I_{\text{max}}) = \_\_\_ \text{ A} \]*Note: There is a text box provided for the answer.***Explanation:**To solve this problem, use the formula for inductive reactance (\(X_L\)):\[ X_L = 2 \pi f L \]Where:- \( f \) is the frequency of the AC source- \( L \) is the inductance of the coilGiven the existing reactance at 60.0 Hz, you can find \( L \) and then determine the new reactance at 47.0 Hz. Use Ohm's Law for AC circuits (\( V = I X_L \)) to find the current. Remember \( V \) here refers to the rms voltage, and \( I \) is the rms current related to the maximum current by \( I_{\text{max}} = \sqrt{2} \times I_{\text{rms}} \).**Equations to Consider:**1. \( X_L = 2 \pi f L \)2. \( I_{\text{rms}} = \frac{V_{\text{rms}}}{X_L} \)3. \( I_{\text{max}} = \sqrt{2} \times I_{\text{rms}} \)

Answered: Image /qna-images/answer/91056782-747b-4027-8094-5ab4d8a9b45f.jpg

When an inductor is connected to a 60.0 Hz source it has an inductive reactance of 50.2 0. Determine the maximum current in the inductor (in A) if it is connected to a 47.0 Hz source that produces a 110 V rms voltage.

When an inductor is connected to a 60.0 Hz source it has an inductive reactance of 50.2 0. Determine the maximum current in the inductor (in A) if it is connected to a 47.0 Hz source that produces a 110 V rms voltage.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A transformer has a primary coil with 125 turns of wire and a secondary coil with 625 turns. An AC power supply connected across the primary coil has a voltage given by the function Δv = (160 V)sin(?t). What rms voltage (in V) is measured across the secondary coil?
Please box answers.
An LRC circuit consists of a 16.0-μF capacitor, a resistor, and an inductor connected in series across an ac power source of variable frequency that has a voltage amplitude of 21.0 V. You observe that when the power source frequency is adjusted to 49.5 Hz, the rms current through the circuit has its maximum value of 62.0 mA. What will be the rms current irms if you change the frequency of the power source to 60.0 Hz? irms A
When connected to a 92.0-Hz AC source, an inductor has an inductive reactance of 31.0 Ω. What is the maximum current in this inductor if it is connected to an AC source that has an rms voltage of 120.0 V and a frequency of 112.0 Hz? A
Two resistors R1 = 323 N, R2 = 627 N, a capacitor C = 2.75 µF, and an inductor L = 6.30 mH, are connected to a sinusoidal voltage source with an rms voltage of 92.0 V as shown in the diagram below. ww R1 L ll R2 V. rms (a) Determine the rms current from the source for very large frequencies. A (b) Determine the rms current from the source for very small frequencies. A
A series circuit consists of ac soure, a 90ohm resistor, a 0.80H inductor, and an 80 μF capacitor. The frequency of the source is adjusted so that the capacitive reactane is equal to twice the inductive reactane. Calculate the frequency of the source.
A light dimmer consists of a variable inductor connected in series with a 100 W lightbulb. This simple circuit is supplied with 120 V (rms) at 60 Hz. The inductor can be adjusted to any value between zero and Lmax. What value of Lmax would let the dimmer vary the power dissipated by the bullb by a factor of 6.00? (Ignore the temperature-dependance of the lightbulb's resistance.) Lmax = H
6.5 A RCL circuit contains a 148 Q resistor, a 1.50 µF capacitor and a 35.7 mH inductor. The generator has a frequency of 512 Hz and rms voltage of 35.0 V. determine the rms current in the circuit.
When connected to a 86.0-Hz AC source, an inductor has an inductive reactance of 31.0 0. What is the maximum current in this inductor if it is connected to an AC source that has an rms voltage of 120.0 V and a frequency of 112.0 Hz?
A 20.69 mH inductor and a 250 micro-F capacitor are connected in series with an AC source. If the inductive reactance is equal to the capacitive reactance, the frequency of the source is а. 60 Hz b. 40 Hz С. 70 Hz d. 50 Hz 10:09 uo
A multimeter in an RL circuit records an rms current of 0.300 A and a 55.0-Hz rms generator voltage of 101 V. A wattmeter shows that the average power delivered to the resistor is 14.0 W. (a) Determine the impedance in the circuit. (b) Determine the resistance, R. Ω (c) Determine the inductance, L. H