How does the power, P, dissipated by a resistor depend on the indicated parameter (resistance, R, of the resistor, or the voltage or current of the supply) for each of the following scenarios? I am looking for a mathematical equation for power as a function of the indicated parameter followed by a description of the dependence - does the power increase, decrease, remain the same or some other dependence, as the parameter is increased? (and if other, describe.) If it is increasing or decreasing, by what factor does the power change if the parameter is increased by a factor of 3? (a) Constant R, powered by ideal voltage supply (We will examine real batteries that have internal resistance in class and the next homework.) How does P depend on the voltage, V, of the supply? (b) Constant R, powered by ideal current supply. How does power depend on the current I? (c) Ideal battery operating at a fixed voltage, powering a variable resistor R. How does P depend on the resistance, R, of the resistor? (d) Ideal current source operating at a fixed current, powering a variable resistor R. How does P depend on the resistance, R, of the resistor?

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 11CQ: If you were to design an electric heater using Nichrome wire as the heating element, what parameters...
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How does the power, P, dissipated by a resistor depend on the indicated parameter (resistance, R,
of the resistor, or the voltage or current of the supply) for each of the following scenarios? I am
looking for a mathematical equation for power as a function of the indicated parameter followed by
a description of the dependence - does the power increase, decrease, remain the same or some other
dependence, as the parameter is increased? (and if other, describe.) If it is increasing or decreasing,
by what factor does the power change if the parameter is increased by a factor of 3?
(a) Constant R, powered by ideal voltage supply (We will examine real batteries that have internal
resistance in class and the next homework.) How does P depend on the voltage, V, of the
supply?
(b) Constant R, powered by ideal current supply. How does power depend on the current I?
(c) Ideal battery operating at a fixed voltage, powering a variable resistor R. How does P depend
on the resistance, R, of the resistor?
(d) Ideal current source operating at a fixed current, powering a variable resistor R. How does P
depend on the resistance, R, of the resistor?
Transcribed Image Text:How does the power, P, dissipated by a resistor depend on the indicated parameter (resistance, R, of the resistor, or the voltage or current of the supply) for each of the following scenarios? I am looking for a mathematical equation for power as a function of the indicated parameter followed by a description of the dependence - does the power increase, decrease, remain the same or some other dependence, as the parameter is increased? (and if other, describe.) If it is increasing or decreasing, by what factor does the power change if the parameter is increased by a factor of 3? (a) Constant R, powered by ideal voltage supply (We will examine real batteries that have internal resistance in class and the next homework.) How does P depend on the voltage, V, of the supply? (b) Constant R, powered by ideal current supply. How does power depend on the current I? (c) Ideal battery operating at a fixed voltage, powering a variable resistor R. How does P depend on the resistance, R, of the resistor? (d) Ideal current source operating at a fixed current, powering a variable resistor R. How does P depend on the resistance, R, of the resistor?
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