c) Write down the Kirchhoff's loop law for this circuit. This should result in a quadratic equation for the current I. Formulate this equation in a symbolic form (the coefficients must be some functions of AVbat, R and P). d) Plug in the numerical values of the parameters and solve the quadratic equation for I. You will get two possible values for the current.
c) Write down the Kirchhoff's loop law for this circuit. This should result in a quadratic equation for the current I. Formulate this equation in a symbolic form (the coefficients must be some functions of AVbat, R and P). d) Plug in the numerical values of the parameters and solve the quadratic equation for I. You will get two possible values for the current.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I just need help with PART D AND E, I was hopping you can help me and can you label which one is which thank you very much
Transcribed Image Text:Problem 2: A lightbulb is in series with an R = 2.02 resistor.
The lightbulb dissipates P = 10 W when this series circuit is con-
nected to a AVbat = 9.0 V battery. What is the current through the
lightbulb?
a) In Fig.2, draw the diagram that represents this electric cir-
cuit. A library of basic symbols used for electric circuit drawings
is given in paragraph 28.1 of the textbook.
b) Express the resistance of the lightbulb, Rb, in terms of the
power that it dissipates, P, and the current in the circuit, I. Do not
plug in the numerical values yet, just write down the formula.
FIG. 2: The scheme for Problem 2
c) Write down the Kirchhoff's loop law for this circuit. This should result in a quadratic equation for
the current I. Formulate this equation in a symbolic form (the coefficients must be some functions of AVbat,
R and P).
d) Plug in the numerical values of the parameters and solve the quadratic equation for I. You will get
two possible values for the current.
e) Naturally, the two values of I that you got in d) correspond to two different lightbulbs (a single
lughtbulb of a fixed resistance uniquely determines the current in the circuit). What would be the two
possible values of the rating (nominal) power of the lightbulbs that satisfy the conditions of the problem?
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