### Comparing Power Dissipation in Series and Parallel CircuitsIn the diagrams below, resistors \( R_1 \) and \( R_2 \) are shown in two different connections to the same voltage source (\( E \)) that has no internal resistance. How does the power dissipated (\( P=V \times I \)) by the resistors in these two cases compare?#### Diagram Explanation1. **Series Connection:** - The circuit on the left shows \( R_1 \) and \( R_2 \) connected in series. 2. **Parallel Connection:** - The circuit on the right shows \( R_1 \) and \( R_2 \) connected in parallel.#### QuestionHow does the power dissipation compare between the series and parallel connections?#### Options:- **Option 1:** It is greater for the series connection.- **Option 2:** It is greater for the parallel connection.- **Option 3:** It is different for each connection, but one must know the values of \( R_1 \) and \( R_2 \) to know which is greater.- **Option 4:** It is different for each connection, but one must know the value of \( E \) to know which is greater.**Note:** To solve problems involving power dissipation in resistive circuits, remember that the total power dissipated in a circuit depends on how the resistors are connected (either in series or parallel) and the voltage applied across them.### Additional Information:- **Series Connection:** - The total resistance, \( R_{total} \), is the sum of individual resistances (\( R_1 + R_2 \)). - The same current flows through both resistors, but the voltage drop across each resistor is proportional to its resistance.- **Parallel Connection:** - The total resistance, \( R_{total} \), is found using the formula: \( \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} \). - Each resistor gets the full voltage \( E \) across it, but the current through each resistor will be different depending on its resistance.To choose the correct option, consider the formulas and the concepts of power dissipation in series and parallel circuits.

Given, Two resistors R1 and R2 Voltage = E, no internal resistance

In the diagrams above, resistors R1 and R2 are shown in two different connections to the same source of (Voltage=E) that has no internal resistance. How does the power dissipated (P=V x I) by the resistors in these two cases compare? R1 R2 www Paralle! Connection Series Connection O It is greater for the series connection. O It is greater for the parallel connection. It is different for each connection, but one must know the values of R1 and R2 to know which is greater. It is different for each connection, but one must know the value of | to know which is greater.

In the diagrams above, resistors R1 and R2 are shown in two different connections to the same source of (Voltage=E) that has no internal resistance. How does the power dissipated (P=V x I) by the resistors in these two cases compare? R1 R2 www Paralle! Connection Series Connection O It is greater for the series connection. O It is greater for the parallel connection. It is different for each connection, but one must know the values of R1 and R2 to know which is greater. It is different for each connection, but one must know the value of | to know which is greater.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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