Question

The timing device in an automobile's intermittent wiper system is based on an $R C$ time constant and utilizes a $0.500-\mu \mathrm{F}$ capacitor and a variable resistor. Over what range must $R$ be made to vary to achieve time constants from 2.00 to $15.0 \mathrm{s}$ ?

Name: Problem 49, Chapter 10: University Physics
Uploaded: 2020-07-01T04:21:04-08:00
Duration: 1 min 23 s
Channel: Ren Jie Tuieng
Description: The timing device in an automobile's intermittent wiper system is based on an R C time constant and utilizes a 0.500-μF capacitor and a variable resistor. Over what range must R be made to vary to achieve time constants from 2.00 to 15.0 s ?

   The timing device in an automobile's intermittent wiper system is based on an $R C$ time constant and utilizes a $0.500-\mu \mathrm{F}$ capacitor and a variable resistor. Over what range must $R$ be made to vary to achieve time constants from 2.00 to $15.0 \mathrm{s}$ ?

University Physics

Samuel J. Ling, Jeff… 2nd Edition

Chapter 10, Problem 49

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Solved by Expert Ren Jie Tuieng

07/01/2020

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This is represented by the equation: \[ \tau = RC \] Show more…

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The timing device in an automobile's intermittent wiper system is based on an $R C$ time constant and utilizes a $0.500-\mu \mathrm{F}$ capacitor and a variable resistor. Over what range must $R$ be made to vary to achieve time constants from 2.00 to $15.0 \mathrm{s}$ ?

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Key Concepts

RC Time Constant

The RC time constant is a fundamental concept in circuits, defined as the product of the resistance (R) and the capacitance (C). It represents the characteristic time over which the voltage across a capacitor rises or falls during charging or discharging, typically reaching about 63.2% of its final value in one time constant.

Capacitor

A capacitor is a passive electrical component that stores energy in an electric field. In timing applications, its ability to charge and discharge over time, in conjunction with a resistor, forms the basis of predictable time delays in circuits.

Variable Resistance

Variable resistance refers to the use of adjustable resistors, such as potentiometers or rheostats, to control the timing in an RC circuit. By changing the resistance, the overall time constant of the circuit is altered, allowing for adjustable delay periods in timing applications.

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