Multiple-Concept Example 9 reviews the concepts that are important to this problem. A light bulb is wired in series with a 134-0resistor, and they are connected across a 120.0-V source. The power delivered to the light bulb is 21.1 W. What is the resistance of thelight bulb? There are two possible answers. Give the larger of the two.Number iUnitsLight bulbMP₁VR₂ Modeling the ProblemSTEP 1 Power The power P₁ delivered to the 6.00- resistor is given by P₁ = 1²R₁ (Equation 20.6b), where I is the current through the resistor and R₁ is the resistance.In this expression R₁ is a known quantity, and the current I will be determined in Step 2.STEP 2 Ohm's Law The current I in the circuit depends on the voltage V of the battery and the equivalent resistance Rs of the two resistors in series (see Figure20.15). This dependence is given by Ohm's law (Equation 20.2) asV1 =RsThis result for the current can be substituted into Equation 20.6b, as indicated at the right. Note from the data table that the voltage is given. In Step 3 we will evaluatethe equivalent resistance from the individual resistances R₁ and R₂.STEP 3 Equivalent Resistance Since the two resistors are wired in series, the equivalent resistance Rs is the sum of the two resistances (Equation 20.16):Rs = R₁ + R₂The resistances R₁ and R₂ are known. We substitute this expression for Rs into Equation 1, as shown in the right column.SolutionP₁ = P²R₁?P₁ = P²R₁I=R$I =?P₁ = I²R₁VRsRs = R₁ + R₂(20.6b)(20.6b)(1)(20.6b)(1)(20.16)

Answered: Image /qna-images/answer/100c487c-df80-4a9a-a6a0-ac7d2f3fcac3.jpg

Multiple-Concept Example 9 reviews the concepts that are important to this problem. A light bulb is wired in series with a 134-0 resistor, and they are connected across a 120.0-V source. The power delivered to the light bulb is 21.1 W. What is the resistance of the light bulb? There are two possible answers. Give the larger of the two. Number i Units Light bulb M P₁ V R₂

Multiple-Concept Example 9 reviews the concepts that are important to this problem. A light bulb is wired in series with a 134-0 resistor, and they are connected across a 120.0-V source. The power delivered to the light bulb is 21.1 W. What is the resistance of the light bulb? There are two possible answers. Give the larger of the two. Number i Units Light bulb M P₁ V R₂

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)...

See similar textbooks

Similar questions

A student connects two resistors with unknown resistance values in series, and notes that the equivalent resistance R = 775 2. She then connects the same two resistors in parallel, and measures the equivalent resistance to be Rp = 155 Q. What are the resistances (in 2) of each resistor? smaller resistance Ω larger resistance Q
Consider the circuit shown in the figure below. (Assume R₁ = 13.5 and R₂ = 3.50 2.) b 25.0 V + R₁ R₁ R₂ R₂ (b) Find the current in the 20.0- resistor. A -20.0 Ω (a) Find the potential difference between points a and b. V
circuit with two batteries and six resistors. It should be possible to trace a path that contains one battery but not the other.Calculate the VIRP table for the circuit. You can ignore the resistances of the batteries.
A resistor is having 7.5 MQ resistance. This value in the S.I. system of units is O a. 7.5×106O O b. 7.5x1012 Q O c. 7.5×10³ Q O d. 7.5x109o
In the circuit of the figure below, determine the current in each resistor and the potential difference across the R = 347- resistor. R 40.0 V 80.0 Ω (a) the current in each resistor V + Resistor (2) Current (A) 347 80.0 20.0 70.0 360 V. 20.0 Ω + 80.0 V 70.0 Ω (b) the potential difference across the R = 347- resistor
Multiple-Concept Example 9 reviews the concepts that are important to this problem. A light bulb is wired in series with a 117-0 resistor, and they are connected across a 120.0-V source. The power delivered to the light bulb is 21.3 W. What is the resistance of the light bulb? There are two possible answers. Give the larger of the two. Light bulb R2 P V
In the given circuit, 12 = 30 A, 13 = 12 A. What is the current through the battery, in Amperes? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. R₂ R₁ 12 R3
The circuit in the drawing contains five identical resistors. The 45-V battery delivers 46 W of power to the circuit. What is the resistance R of each resistor? R₁ Number i 45 V R₂ Units R3 RA R5