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Newton's law of cooling and LR circuits/Engineering Maths
 This video is tailored especially for students preparing for Engineering Mathematics 1st semester,
VTU syllabus
 Consider subscribing to my channel http://lnnk.in/@mathmadeeasy22
NEW!
https://www.mathmadeeasy.co/lessons-1
 We learn about LR circuits and Newtons law of cooling and how to apply these to
problems.
Newtons law of cooling states that the rate of change of temperature of a body is proportional to the
difference between the temperature of the body and that of the surrounding medium.
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Question 1
A bottle of water at a room temperature of 72 degrees F is refrigerated where the
temperature is 44 degrees F. After half an hour, the water is cooled to 61 degrees F.
What is the temperature of the water after half an hour
What is the time taken for the water to cool to 50 degrees F
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Question 2
Water at temperature 10 degrees Celsius takes 5 minutes to warm up to 20 degrees
Celsius at room temperature 40 degrees Celsius. Find the temperature after 20
minutes.
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
L R circuits
Electric circuit is composed of Resistance R, Inductance L, Capacitance C, Electromotive
force E
Differential equation for electric circuits based on Kirchoffs law is
Newton's law of cooling and LR circuits/Engineering Maths
Question 3
i
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
Question 4
An inductance 2 Henry and a resistance 20 ohms are connected in series with emf E
volts. If the current is initially zero when t= 0, find the current at the end of 0.01
seconds if E =100 volts
Newton's law of cooling and LR circuits/Engineering Maths
Newton's law of cooling and LR circuits/Engineering Maths
 Do you dislike Maths?
 Watch one of my videos everyday and practice along with me!
 I guarantee that your dislike will be replaced by a Mathematical aptitude.
Newton's law of cooling and LR circuits/Engineering Maths

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Newton's law of cooling and LR circuits/Engineering Maths

  • 2. This video is tailored especially for students preparing for Engineering Mathematics 1st semester, VTU syllabus Consider subscribing to my channel http://lnnk.in/@mathmadeeasy22
  • 4. We learn about LR circuits and Newtons law of cooling and how to apply these to problems.
  • 5. Newtons law of cooling states that the rate of change of temperature of a body is proportional to the difference between the temperature of the body and that of the surrounding medium.
  • 11. Question 1 A bottle of water at a room temperature of 72 degrees F is refrigerated where the temperature is 44 degrees F. After half an hour, the water is cooled to 61 degrees F. What is the temperature of the water after half an hour What is the time taken for the water to cool to 50 degrees F
  • 18. Question 2 Water at temperature 10 degrees Celsius takes 5 minutes to warm up to 20 degrees Celsius at room temperature 40 degrees Celsius. Find the temperature after 20 minutes.
  • 22. L R circuits Electric circuit is composed of Resistance R, Inductance L, Capacitance C, Electromotive force E Differential equation for electric circuits based on Kirchoffs law is
  • 25. i
  • 26.
  • 29. Question 4 An inductance 2 Henry and a resistance 20 ohms are connected in series with emf E volts. If the current is initially zero when t= 0, find the current at the end of 0.01 seconds if E =100 volts
  • 32. Do you dislike Maths? Watch one of my videos everyday and practice along with me! I guarantee that your dislike will be replaced by a Mathematical aptitude.