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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

If you wish to take a picture of a bullet traveling at 500 m/s , then a very brief flash of light produced by an discharge through a flash tube can limit blurring. Assuming 1.00 mm of motion during one RCconstant is acceptable, and given that the flash is driven by a 600-mFcapacitor, what is the resistance in the flash tube?

Referring to Figure 21.6, (a) CalculateP3and note how it compares withP3found in the first two example problems in this module. (b) Find the total power supplied by the source and compare it with the sum of the powers dissipated by the resistors.

An ECG monitor must have an \(RC\) time constant less than \(1.00 \times {10^2}{\rm{ }}\mu s\) to be able to measure variations in voltage over small time intervals. (a) If the resistance of the circuit (due mostly to that of the patient’s chest) is\(1.00{\rm{ }}k\Omega \), what is the maximum capacitance of the circuit? (b) Would it be difficult in practice to limit the capacitance to less than the value found in (a)?

A0.0200Ωammeter is placed in series with a10.00‐Ωresistor in a circuit. (a) Draw a circuit diagram of the connection. (b) Calculate the resistance of the combination. (c) If the voltage is kept the same across the combination as it was through the10.00‐Ωresistor alone, what is the percent decrease in current? (d) If the current is kept the same through the combination as it was through the10.00‐Ωresistor alone, what is the percent increase in voltage? (e) Are the changes found in parts (c) and (d) significant? Discuss.

Given a battery, an assortment of resistors, and a variety of voltage and current measuring devices, describe how you would determine the internal resistance of the battery.
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