27. Resistors & DC Circuits

Combining Resistors in Series & Parallel

Resistors in Electric Circuits (4 of 16) Adding Resistors to Series Circuits, Part 1

If every resistor below has resistance R, what is the equivalent resistance of the combination, in terms of R?<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/03acfa41"alt=""/>

Weird Arrangement (Re-Drawing Resistors)

What is the equivalent resistance of a <math display=“inline”><mrow><mn>4.0</mn><mtext>&#x00A0;</mtext><mo>&#x03A9;</mo></mrow></math> resistor in series with a <math display=“inline”><mrow><mn>6.0</mn><mtext>&#x00A0;</mtext><mo>&#x03A9;</mo></mrow></math> resistor?

What is the equivalent resistance of a <math display=“inline”><mrow><mn>4.0</mn><mtext>&#x00A0;</mtext><mo>&#x03A9;</mo></mrow></math> resistor in parallel with a <math display=“inline”><mrow><mn>6.0</mn><mtext>&#x00A0;</mtext><mo>&#x03A9;</mo></mrow></math> resistor?

Power Rating of a Resistor. The power rating of a resistor is the maximum power the resistor can safely dissipate without too great a rise in temperature and hence damage to the resistor. (c) A 100.0-Ω and a 150.0-Ω resistor, both rated at 2.00 W, are connected in series across a variable potential difference. What is the greatest this potential difference can be without overheating either resistor, and what is the rate of heat generated in each resistor under these conditions?

Three identical resistors are in parallel, and together they have an equivalent resistance of R. What is the resistance of each resistor?

Anderson Video - Resistance and Temperature

A triangular array of resistors is shown in Fig. E26.5. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/d33b04d83609db66-1672344669072.jpg" alt="" /> What current will this array draw from a 35.0-V battery having negligible internal resistance if we connect it across (c) ac?

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. The two light bulbs are now connected in parallel across the 120-V line. Find (e) the power dissipated in each bulb.

Anderson Video - Circuit Elements

A uniform wire of resistance R is cut into three equal lengths. One of these is formed into a circle and connected between the other two (Fig. E26.1). <img src="https://lightcat-files.s3.amazonaws.com/problem_images/97481871c7c0efaa-1672342483461.jpg" alt="" /> What is the resistance between the opposite ends a and b?

How to Add Resistors in a Parallel Circuit

Anderson Video - DC Circuits Intro

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. If the two light bulbs are connected in series across a 120-V line, find (c) the total power dissipated in both bulbs.

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. The two light bulbs are now connected in parallel across the 120-V line. Find (d) the current through each bulb.

What is the equivalent resistance of the following combination of resistors?<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/85b19043"alt=""/>

Calculating resistance in parallel

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. If the two light bulbs are connected in series across a 120-V line, find (b) the power dissipated in each bulb.

A triangular array of resistors is shown in Fig. E26.5. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/d98294dfd929ee37-1672344400732.jpg" alt="" /> What current will this array draw from a 35.0-V battery having negligible internal resistance if we connect it across (b) bc?

Power Rating of a Resistor. The power rating of a resistor is the maximum power the resistor can safely dissipate without too great a rise in temperature and hence damage to the resistor. (b) A 9.0-kΩ resistor is to be connected across a 120-V potential difference. What power rating is required?

Shortcut Equations for Resistors Parallel

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. The two light bulbs are connected in series across a 120-V line. Afterwards, the two light bulbs are connected in parallel across the 120-V line. (g) In each situation, which of the two bulbs glows the brightest?

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. The two light bulbs are connected in series across a 120-V line. Afterwards, the two light bulbs are connected in parallel across the 120-V line. (h) In which situation is there a greater total light output from both bulbs combined?

Resistors in Series and Parallel

Anderson Video - Superconductors

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. The two light bulbs are now connected in parallel across the 120-V line. Find (f) the total power dissipated in both bulbs.

A triangular array of resistors is shown in Fig. E26.5. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/1a95c98b49c44d8b-1672344899285.jpg" alt="" /> (d) If the battery has an internal resistance of 3.00Ω, what current will the array draw if the battery is connected across bc?

A machine part has a resistor X protruding from an opening in the side. This resistor is connected to three other resistors, as shown in Fig. E26.2. An ohmmeter connected across a and b reads 2.00 Ω. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/d057737bc340329e-1672343185981.jpg" alt="" /> What is the resistance of X?

Power Rating of a Resistor. The power rating of a resistor is the maximum power the resistor can safely dissipate without too great a rise in temperature and hence damage to the resistor. (a) If the power rating of a 15-kΩ resistor is 5.0 W, what is the maximum allowable potential difference across the termi-nals of the resistor?

What is the equivalent resistance of the following combination of resistors?<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/e1d6fa81"alt=""/>

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ω and 800Ω. If the two light bulbs are connected in series across a 120-V line, find (a) the current through each bulb.

Anderson Video - Internal Resistance

Anderson Video - Circuits with Resistors

A triangular array of resistors is shown in Fig. E26.5. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/0f59e4685da9acb2-1672343791087.jpg" alt="" /> What current will this array draw from a 35.0-V battery having negligible internal resistance if we connect it across (a) ab?

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