At balance, an a.c. bridge PQRS used to measure the inductance and resistance of an inductor has the following values: PQ-a non-inductive 4000 resistor; QR-the inductor withunknown inductance Lx in series with resistance Rx; RS-a 3 uF capacitor in series with a non-inductive 2500 resistor, SP-a 15 pF capacitor. A detector is connected between Q andS and the a.c. supply is connected between P and R. Derive the balance equations for Rx and Lx and determine their values.

Answered: Image /qna-images/answer/71277693-4b89-4c8a-b8d4-ea2cc91981e0.jpg

Answered: At balance, an a.c. bridge PQRS used to…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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The resistance, inductance, and capacitance in a parallel RLC circuit are 1900 ohms, 240 mH, and 15 nF,respectively. a) Calculate the roots of the characteristic equation that describe the voltage response ofthe circuit. b) Will the response be over-, under-, or critically damped? c) What value of R will yield adamped frequency of 12 krad/s ? d) What are the roots of the characteristic equation for the value of Rfound in (c)? e) What value of R will result in a critically damped response?
Cell phones that use 4G technology receive signals broadcast between 2 GHz and 8 GHz. (a) If you want to create a simple L-R-C series circuit to detect a 4.0 GHz cell phone signal, what is the relevant value of the product LC, where L is the inductance and C is the capacitance? (b) If you choose a capacitor that has C = 1.0 * 10-15 F, what inductance do you need? (c) Suppose you want to wind your own toroidal inductor and fit it inside a box as thin as your cell phone. Based on the size of your phone, estimate the largest cross-sectional area possible for this. (d) Assume the largest allowable radius of the toroid is 1.0 cm and estimate the lowest number of windings needed to create your inductor, assuming the material inside has a relative permeability of 1.
Assignment No. 5 Inductance, Capacitance, and Mutual Inductance a.) Find the voltage across the inductor for t > 0. (Assume the passive signconvention.)b.) Find the power (in microwatts) at the terminals of the inductor when t = 5 ms.c.) Is the inductor absorbing or delivering power at 5 ms?d.) Find the energy (in microjoules) stored in the inductor at 5 ms.e.) Find the maximum energy 9in microjoules) stored in the inductor and the time(in milliseconds) when it occurs.
A resistance R, capacitance C, and inductance L are connected in series to a voltage source with amplitude V and variable angular frequency v. If w = w0 , the resonance angular frequency, find (a) the maximum current in the resistor; (b) the maximum voltage across the capacitor; (c) the maximum voltage across the inductor; (d) the maximum energy stored in the capacitor; (e) the maximum energy stored in the inductor. Give your answers in terms of R, C, L, and V.
The resistance, inductance and capacitance in a parallel RLC circuit are 2000 ohms , 250mH and 10nF respectivalya) Calculate the roots of the characteristic eqaution that describe the voltageresponse of the circuitb) Will the response be over, under or critically damped?c) What value of the R will yield a damped frequency of 12 krad/s?d) What are the roots of characteristic equation for the value R found in c?e) What value of R will result in a critically damped response?
Calculate vc, il and the energies stored in the capacitor and inductor in the circuit attached under steady state DC conditions.
My teacher said that the equation v(t) for Vcap (in image) will be V = -1/C integral of i(t) + v(initial). My question is, my teacher has said that the '-' infront of the 1/C is because the current flows into the negative terminal of the capacitor. But in the answer my teacher has put v(initial) as +20 and not -20, even though the 20V across the capacitor is also negative to positive as shown in the image. So why is the v(initial) put as +20 and not -20? Thank you.
Consider an LRC series circuit with a resistance of 2.5 ohms, capacitance of 0.1 farad, aninductance of 0.1 henry and electromotive force, volts. Given thatAssume there is no initial charge and no initial current on thecapacitor.The equation of the charge q(t), on the capacitor at any time t q(t)=C1e−5t+C2e−20t+0.05cost+0.2sint . (Do not solve the coefficients). a) State the equation of the current, i(t). b) State the transient and the steady-state current. c) What is the current after a long time.
An inductance of 1 H, a resistance of 8 Ω and capacitance of 0.04 F are connected in series with a variable voltage E = 50 sin 3t. At t = 0, the charge on the capacitor and the current in the circuit are 0. Find the charge and the current in the circuit at t > 0 using method of solution of higher order linear ordinary differential equation.
As displayed in attachment figure and LC circuit can be modeled by the following system of differential equations as attachment. Where L = inductance (H), t = time (s), i = current (A), and C = capacitance (F). Assuming that a solution is of the form = Ij sin (wt), determine the eigenvalues and eigenvectors for this system using Faddeev-Leverrier Method and Power Method with L = 1 H and C = 0.25 C. Draw the network, illustrating how the currents oscillate in their primary nodes. Assume initial value for power method.
The current in and the voltage across a 10H inductor are known to be zero for t 스 0. Ihe voltage across the inductor is given by the graph in Fig. P6.9 for t 2 0.
Determine vC, iL, and the energy stored in the capacitor and inductor in the circuit under dc conditions.

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