27. Resistors & DC Circuits

Combining Resistors in Series & Parallel

27. Resistors & DC Circuits

Combining Resistors in Series & Parallel

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Combining Resistors in Series & Parallel

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Combining Resistors in Series & Parallel

Shortcut Equations for Resistors Parallel

Weird Arrangement (Re-Drawing Resistors)

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Multiple Choice

What is the equivalent resistance of the following combination of resistors?

What is the equivalent resistance of the following combination of resistors?

If every resistor below has resistance R, what is the equivalent resistance of the combination, in terms of R?

What is the equivalent resistance of a

4.0 Ω

resistor in parallel with a

6.0 Ω

What is the equivalent resistance of a

4.0 Ω

resistor in series with a

6.0 Ω

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

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?

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 now connected in parallel across the 120-V line. Find (f) 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 (e) the power dissipated in each bulb.

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.

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. If the two light bulbs are connected in series across a 120-V line, find (b) the power dissipated in each bulb.

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.

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?

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?

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Textbook Question

A triangular array of resistors is shown in Fig. E26.5.

(d) If the battery has an internal resistance of 3.00Ω, what current will the array draw if the battery is connected across bc?

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Textbook Question

A triangular array of resistors is shown in Fig. E26.5.

What current will this array draw from a 35.0-V battery having negligible internal resistance if we connect it across (c) ac?

323

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Textbook Question

A triangular array of resistors is shown in Fig. E26.5.

What current will this array draw from a 35.0-V battery having negligible internal resistance if we connect it across (b) bc?

A triangular array of resistors is shown in Fig. E26.5.

What current will this array draw from a 35.0-V battery having negligible internal resistance if we connect it across (a) ab?

370

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Textbook Question

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.

What is the resistance of X?

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Textbook Question

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).

What is the resistance between the opposite ends a and b?

You have a 2.0 Ω resistor, a 3.0 Ω resistor, a 6.0 Ω resistor, and a 6.0 V battery. Draw a diagram of a circuit in which all three resistors are used and the battery delivers 9.0 W of power.

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Textbook Question

Draw a circuit diagram for the circuit of FIGURE EX28.2.

249

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Textbook Question

Suppose that you wish to apply a 0.25-V potential difference between two points on the human body. The resistance between those two points is about 1800 Ω, and you only have a 1.5-V battery. How can you connect up one or more resistors to produce the desired voltage? This is another example of a voltage divider (Problem 20).

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27. Resistors & DC Circuits

Combining Resistors in Series & Parallel

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