Joule’s law allows us to compute the power in a simple electric circuit: P=I2R. (a) Use the equation above to find an equation relating dP dt , dI dt , dR dt , I and R. (b) I have a circuit with a 400 Ω resistor. I increase the voltage at 20 Volts/s. When the voltage reaches 350 Volts, how quickly is the Power in the circuit increasing? Include units in your answer. Note that 1 Watt is equivalent to 1 Volt2/Ω. Hint: you will need to use another equation relating voltage to current from the activity in class.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 67P: The values of the components in a simple series RC circuit containing a switch (Fig. P21.53) are C =...
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Joule’s law allows us to compute the power in a simple electric circuit: P=I2R.

(a) Use the equation above to find an equation relating dP dt , dI dt , dR dt , I and R.

(b) I have a circuit with a 400 Ω resistor. I increase the voltage at 20 Volts/s. When the voltage reaches 350 Volts, how quickly is the Power in the circuit increasing? Include units in your answer. Note that 1 Watt is equivalent to 1 Volt2/Ω. Hint: you will need to use another equation relating voltage to current from the activity in class.

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