BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

The resistance between points a and b in Figure P18.54 drops to one-half its original value when switch S is closed. Determine the value of R.

images

Figure P18.54

To determine
The time required for the charge on the capacitor to reach 90%.

Explanation

Given Info: The resistor is R=2.0×106Ω and the capacitance of the circuit is C=3.0μF

Explanation:

Formula to calculate the time constant of the RC circuit is,

τ=RC

  • τ is the time constant,
  • R is the resistor,
  • C is the capacitance,

Substitute 2.0×106Ω for R and 3.0μF for C .

τ=(2.0×106Ω)(3.0μF)(106F1μF)=6.0s

Thus, the time constant of the RC circuit is 6.0 s.

Conclusion:

Formula for the charge on the capacitor at a time t is,

q=Qmax(1et/τ) (1)

  • q is the charge on the capacitor,
  • Qmax is the maximum charge stored in the capacitor to reach 90% of its final value,
  • t is the time required to stored maximum charge,

Formula for the maximum charge on the capacitor o reach 90% of its final value is,

q=0

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

The theory that vitamin C prevents or cures colds is well supported by research. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What are the largest known structures in the Universe?

Horizons: Exploring the Universe (MindTap Course List)

Is ATP involved in anabolic processes or catabolic processes?

Chemistry for Today: General, Organic, and Biochemistry