The timing device in an automobile’s intermittent wiper system is based on RC antime constant and utilizes a0.500-μFcapacitor and a variable resistor. Over what range must be made to vary to achieve time constants from2.00to15.0s?

Short Answer

Expert verified

To achieve the time constants the range of R must beR=4MΩ-30MΩ

Step by step solution

01

Concept Introduction

The rate of electron flow can be described as the aggregate flow of electrons via a wire. The term "resistance" refers to anything that stands in the way of current flow. To convert electrical energy to light, heat, or movement, an electrical circuit must have resistance.

02

Information Provided

The timing device in an automobile's intermittent wiper system is based on an RC time constant and utilizes a 0.500μFcapacitor and a variable resistor.

The values are τ=2.00sandC=0.500μF10-6F1μF=5.00×10-7F

03

Minimum Range for resistance

The time constant for the RC circuit is given as,

τ=RC……………….(1)

Whereτis the time constant, R is the resistance of the circuit, and C is the capacitance of the circuit.

The minimum resistance is given by substitutingτ=2.00sand C=5.00×10-7Fin equation (1), such that

2.00s=R×5.00×10-7FR=22.00s5.00×10-7FR=4.0×106Ω1MΩ106ΩR=4.0MΩ

04

Maximum Range for resistance

The maximum resistance is given by substituting τ=15.0sand C=5.00×10-7Fin equation (1), such that

15.0s=R×5.00×10-7FR=15.0s5.000×10-7FR=30.0×106Ω1MΩ106ΩR=30.0MΩ

Therefore, the range is role="math" localid="1656398436584" 4.0MΩto30.0MΩ

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The label on a portable radio recommends the use of rechargeable nickel-cadmium cells (nicads), although they have a 1.25-V emf while alkaline cells have a 1.58-V emf. The radio has a 3.20-Ω resistance.(a) Draw a circuit diagram of the radio and its batteries. Now, calculate the power delivered to the radio. (b) When using Nicad cells each having an internal resistance of 0.0400 Ω.(c) When using alkaline cells each having an internal resistance of 0.200 Ω.(d) Does this difference seem significant, considering that the radio’s effective resistance is lowered when its volume is turned up?

Why should you not connect an ammeter directly across a voltage source as shown in Figure21.48?(Note that script Ein the figure stands for emf.)

Apply the loop rule to loop \({\rm{afedcba}}\) in Figure \({\rm{21}}{\rm{.47}}\)

Find the currents flowing in the circuit in Figure\(21.52\). Explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors.

A \(240{\rm{ }}kV\) power transmission line carrying \(5.00 \times {10^2}\;A\)is hung from grounded metal towers by ceramic insulators, each having a \(1.00 \times {10^9}{\rm{ }}\Omega \) resistance. Figure \(21.51\).

(a) What is the resistance to ground of \(100\) of these insulators?

(b) Calculate the power dissipated by \(100\) of them.

(c) What fraction of the power carried by the line is this? Explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors.

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free