Explanation 1) Concept: For a series LCR circuit, we have the relations to find out the inductive and capacitive reactance. By using those relations, we can find out the impedance of the circuit, phase angle, and the amplitude of the current. 2) Formula: i) Capacitive reactance, χ c = 1 ω d C ii) Inductive reactance, χ L = ω d L iii) Impedance, Z = R 2 + χ L - χ C 2 iv) Phase constant or angle, ϕ = tan - 1 ⁡ ( χ L - χ C R ) v) Amplitude of current, I = ϵ m Z 3) Given: i) Resistance, R = 200 Ω ii) Capacitance, C = 70.0 μ F = 70.0 × 10 - 6 F iii) Inductance, L = 230 m H = 230 × 10 - 3 H iv) Driving frequency, f d = 60.0 H z v) Amplitude of emf ϵ m = 36.0 V 4) Calculations: a) First, let’s find out the driving angular frequency. It is given as ω d = 2 π f d ω d = 2 × 3.14 × 60.0 = 376.8 H z Capacitive reactance is given by χ c = 1 ω d C = 1 376.8 × 70.0 × 10 - 6 = 10 6 376

11th Edition

ISBN: 9781119460138

Author: Halliday

Publisher: WILEY

See similar textbooks

Question

Chapter 31, Problem 41P

To determine

To find:

a) Impedance of the series LCR circuit, Z

b) Phase angle, ϕ

c) Amplitude of current, I

d) Construct phasor diagram

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 31, Problem 40P

Chapter 31, Problem 42P

Students have asked these similar questions

2. The results of the Rutherford experiment can be categorized in 3 statements. Fill in the missing words Most 11. Some III. A few State which result gives evidence that the nucleus is a. heavier than an alpha particle b. very small compared to the size of the atom c. positively charged 3. Using values in the diagram derive an expression for r .0 e m

3. A 100 W light bulb is connected to 230 V mains supply by a cable with resistance 0.12. Determine the heat loss per second by the cable.

1. The image shows electrons flowing in a conductor with cross sectional area 1mm². A electron flow • Add an arrow showing the direction of current. B • Which end has the highest potential? • Calculate the current when 1019 electrons flow through the wire in 10 s. If there are 1026 electrons per unit volume what is the drift velocity of the electrons?

Chapter 31 Solutions

FUNDAMENTALS OF PHYSICS: EXTENDED (LL)

Ch. 31 - Figure 31-19 shows three oscillating LC circuits...Ch. 31 - Figure 31-20 shows graphs of capacitor voltage vc...Ch. 31 - Prob. 3Q Ch. 31 - What values of phase constant in Eq. 31-12 allow...Ch. 31 - Curve a in Fig. 31-21 gives the impedance Z of a...Ch. 31 - Prob. 6Q Ch. 31 - Prob. 7Q Ch. 31 - The values of the phase constant for four...Ch. 31 - Prob. 9Q Ch. 31 - Figure 31-24 shows three situations like those of...

Knowledge Booster

a) Impedance of the series LCR circuit, Z b) Phase angle, ϕ c) Amplitude of current, I d) Construct phasor diagram

Solution Summary: The author explains how to find the impedance, phase angle, and amplitude of a series LCR circuit.

To find: a) Impedance of the series LCR circuit, Z b) Phase angle, ϕ c) Amplitude of current, I d) Construct phasor diagram

Want to see the full answer?

Chapter 31 Solutions

To find:

a) Impedance of the series LCR circuit, Z

b) Phase angle, ϕ

c) Amplitude of current, I

d) Construct phasor diagram