Here, we discuss problems on Newtons Law of Cooling and LR circuits. We derive Newtons law and the linear differential equation for Kirchoffs law. This video is tailored specifically for students preparing for Engineering Mathematics, 1st semester, VTU syllabus. Questions from the previous years papers are explained in detail with solutions.
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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
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
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