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).

EBK ELECTRICAL WIRING RESIDENTIAL

19th Edition

ISBN:9781337516549

Author:Simmons

Publisher:Simmons

Chapter27: Service-entrance Equipment

Section: Chapter Questions

Problem 44R

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Electrical Heating Unit

The conversion of electrical energy to heat energy is known as electric heating. The heating system that converts the electrical energy to heat energy for various application is called electrical heating unit. Electricity is employed as the firing mechanism in electric heating systems, which transforms electric current to heat. Electric heaters have heating elements in the form of electric resistors.

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