A 100-watt light bulb is connected in series with a resistor, R= 15 Q as in Figure 1. R VR V. 100 W Light bulb Figure 1: Series Connection of a 100 W Light Bulb The voltage drop across the resistor, Vg and across the light bulb, V, can be calculated from the following equations, P = V, x I Equation (1) Va =1 x R Equation (2) where / is the current (in amps), P is the power (in watt) and R is the resistance (in 2). Hence, by applying the Kirchhoff voltage law, V = Vg + V Equation (3) (a) Estimate the current, I when the applied voltage, V is 100 volts by using Newton Raphson method with initial value of 6 amps. Perform two iterations only. (b) Calculate the approximate percent relative error, Ea for the final iteration in part (a).

A 100-watt light bulb is connected in series with a resistor, R= 15 Q as in Figure 1. R VR V. 100 W Light bulb Figure 1: Series Connection of a 100 W Light Bulb The voltage drop across the resistor, Vg and across the light bulb, V, can be calculated from the following equations, P = V, x I Equation (1) Va =1 x R Equation (2) where / is the current (in amps), P is the power (in watt) and R is the resistance (in 2). Hence, by applying the Kirchhoff voltage law, V = Vg + V Equation (3) (a) Estimate the current, I when the applied voltage, V is 100 volts by using Newton Raphson method with initial value of 6 amps. Perform two iterations only. (b) Calculate the approximate percent relative error, Ea for the final iteration in part (a).

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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