Christmas Lights: Series vs. Parallel Connection Models
Learn about the practical relevance of Christmas lights, including their use in decorating during the holiday season. Explore the concepts of series and parallel connection models for Christmas light setups, with examples and schematic representations provided.
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Presentation Transcript
Practical Relevance Example - Christmas Lights Christmas lights are strands of electric lights used to decorate homes, buildings and Christmas trees during the Christmas season. The types of lamps used in Christmas lighting sets may be based on a variety of technologies. Common lamp types are incandescent light bulbs and light-emitting diodes (LEDs). Figure 3.1: (a) Commercial (Residential) Applications of Christmas lights, (b) one strand or string of lights
Practical Relevance Example - Christmas Lights Christmas lights are connected in series to one voltage source, and the same current flows through each element of the circuit. Christmas lights are strands of electric lights used to decorate homes, buildings and Christmas trees during the Christmas season. The types of lamps used in Christmas lighting sets may be based on a variety of technologies. Common lamp types are incandescent light bulbs and light-emitting diodes (LEDs). Figure 3.1: (a) Commercial (Residential) Applications of Christmas lights, (b) one strand or string of lights
Series Connected Strands - model The Christmas lights are connected in series; the elements are connected one after the other. Only the lead to the 1stelement and the return lead from the last element are connected to the voltage source ?? Schematic Representation of Christmas light chain, (b) Simplified circuit model of Christmas lights connected in series
Parallel Connected Strands - model When Christmas lights are connected in parallel configuration, then each light has its own closed-loop circuit as shown in the fifty lights example of Fig. 2.92(a). Schematic Representation of parallel strand Christmas light chain, Simplified circuit model of Christmas lights connected in series
Example of 50 Lights As a numerical example, consider a Christmas lights circuit in which a total of 50 bulbs are connected in series to a voltage source ??= 120 ?. I 228 228 50 Bulbs Total + 120V 228 Christmas lights schematic with 50 light bulbs What is the current I?
Example of 50 Lights Solution: Since the equivalent circuit represents a single loop circuit, we write one the KVL eq. ??+ ?? + ?? + + ?? = 0 Solving for ?, ?? ?? 120 50?228= 10.5 ?? ? = ? + ? + + ?= 50?= The voltage drop across each bulb is the same and is given by ?????= ?? = 228?10.5 = 2.4 ?
