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 = 9.0V 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, Rub, 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.
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 = 9.0V 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, Rub, 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.
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Hello I really need help with part A, part B and part C because I keep getting the same solution and my professor said I got the wrong answer. I was wondering if you can help me with Part a,part b and part c and can you label which one is which.
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 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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