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Chapter 21: Q3PE (page 775)

What are the largest and smallest resistances you can obtain by connecting a36.0-Ω, a50.0-Ω, and a700-Ωresistor together?

Short Answer

Expert verified

The largest and smallest resistances you can obtain by connecting a36.0Ω, a50.0Ω, and a 700Ωresistor together are786Ωand20.32Ω, respectively.

Step by step solution

01

Definition of resistance

A current flow is defined by the directed movement of electrons, which is known as resistance.

It is also well known that electrons do not readily travel through the crystalline structure of a conductor.

In conductors, there is an intrinsic antagonism to the movement of electrons.

02

Finding the largest resistance when connected in series

Consider the given parameters,

R1=36ΩR2=50ΩR3=700Ω

Largest Resistance is when connected in series,

Req=R1+R2+R3=36Ω+50Ω+700Ω=786Ω

Therefore, the largest resistance when connected in series is786Ω.

03

Finding the smallest resistance when connected in parallel

The smallest Resistance is when connected in parallel,

1Req=1R1+1R2+1R3+1Req1Req=136Ω+150Ω+1700Ω1Req=0.049Ω-1Req=20.32Ω

Hence, the smallest resistance when connected in parallel is20.32Ω.

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Most popular questions from this chapter

Suppose you are using a multimeter (one designed to measure a range of voltages, currents, and resistances) to measure current in a circuit and you inadvertently leave it in a voltmeter mode. What effect will the meter have on the circuit? What would happen if you were measuring voltage but accidentally put the meter in the ammeter mode?

(a) Calculate the capacitance needed to get an \(RC\)time constant of \(1.00 \times {10^3}\;s\) with a \(0.100 - \Omega \) resistor. (b) What is unreasonable about this result?(c) Which assumptions are responsible?

(a) What is the terminal voltage of a large 1.54 v carbon-zinc dry cell used in a physics lab to supply 2.00 a to a circuit, if the cell's internal resistance is 0.100Ω ? (b) How much electrical power does the cell produce? (c) What power goes to its load?

A12.0-Vemf automobile battery has a terminal voltage of16.0Vwhen being charged by a current of10.0A.(a) What is the battery’s internal resistance?(b) What power is dissipated inside the battery?(c) At what rate (in ºC/min) will its temperature increase if its mass is20.0kgand it has a specific heat of0.300kcal/kgx0C, assuming no heat escapes?

Specify the points to which you could connect a voltmeter to measure the following potential differences in Figure \(21.49\): (a) the potential difference of the voltage source; (b) the potential difference across \({R_1}\) ; (c) across \({R_2}\) ; (d) across \({R_3}\) ; (e) across \({R_2}\) and \({R_3}\) . Note that there may be more than one answer to each part.
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