We use cookies to give you the best experience possible. By continuing we’ll assume you’re on board with our cookie policy

Exponential Function Essay Sample

essay
The whole doc is available only for registered users OPEN DOC

A limited time offer!

Get a custom sample essay written according to your requirements urgent 3h delivery guaranteed

Order Now

Exponential Function Essay Sample

An example of an exponential function is the voltage as a function of time Vf(t) as the capacitor C1 discharges from an initial voltage Vi to a resistive load R1. The circuit of this is shown below

Figure 1. Discharge of Capacitor

Where

Vf is the final voltage

Vi is the initial voltage across the C1

 

Time Calculated Value Oscilloscope Reading
0.05 7.278 7.300
0.10 4.415 4.500
0.15 2.678 2.700
0.20 1.624 1.700
0.25 0.985 1.000
0.30 0.597 0.700
0.35 0.362 0.400
0.40 0.220 0.200
0.45 0.133 0.100
0.50 0.081 0.000

 

Table 1. Calculated and Oscilloscope Voltages

 

Figure 2. Calculated Voltages

Figure 3. Oscilloscope Voltages

 

Logarithmic Function

 

An example of an logarithmic function is the Sound Pressure Level which is expressed in decibels.

SPL = 20 log(P/P0)                        (dangerousdecibels.org, 2005)

 

Where:

SPL     is the sound pressure level in decibels

P0        is the reference threshold of hearing, 2 x 10-5 N/m2

P         is the measured pressure amplitude in N/m2

 

 P SPL
Calculated Measured
0.00001 -6.021 -6.000
0.00005 7.959 8.000
0.0001 13.979 14.000
0.0005 27.959 28.000
0.001 33.979 34.000
0.005 47.959 48.000
0.01 53.979 54.000
0.05 67.959 68.000
0.1 73.979 74.000
0.5 87.959 88.000
1 93.979 94.000
5 107.959 108.000
10 113.979 114.000
50 127.959 128.000
100 133.979 134.000

Table 2. Calculated and Measured Sound Pressure Levels

Figure 5. Calculated Sound Pressure Levels

Figure 6. Measured Sound Pressure Levels

Appendix

Spreadsheet  for Exponential Function

Spreadsheet  for Logarithmic Function


References

”Sound Measures”. DangerousDecibels.org website: http:// www.dangerousdecibels.org/teachers_guide/DDB_TRG_Activities_10.pdf on May 1, 2007

We can write a custom essay

According to Your Specific Requirements

Order an essay
Get Access To The Full Essay
icon
300+
Materials Daily
icon
100,000+ Subjects
2000+ Topics
icon
Free Plagiarism
Checker
icon
All Materials
are Cataloged Well

Sorry, but copying text is forbidden on this website. If you need this or any other sample, we can send it to you via email.

By clicking "SEND", you agree to our terms of service and privacy policy. We'll occasionally send you account related and promo emails.
Sorry, but only registered users have full access

How about getting this access
immediately?

Become a member

Your Answer Is Very Helpful For Us
Thank You A Lot!

logo

Emma Taylor

online

Hi there!
Would you like to get such a paper?
How about getting a customized one?

Can't find What you were Looking for?

Get access to our huge, continuously updated knowledge base

The next update will be in:
14 : 59 : 59
Become a Member