C Exercise 21.13 The current in a resistor is given by I = (2.7A)sin(100t) when
ID: 1700027 • Letter: C
Question
C Exercise 21.13
The current in a resistor is given by I = (2.7A)sin(100t) when a voltage given by V = (180V)sin(100t) is applied to it.
Part A
What is the resistance value?
Express your answer using two significant figures.
=67
Correct
Part B
What is the frequency of the voltage source?
Express your answer using two significant figures.
f=___________Hz Part C
What is the period of the voltage source?
Express your answer using two significant figures.
=2.0×102
Correct Part D
What is the average power delivered to the resistor?
Express your answer using two significant figures.
P=______________W
C Exercise 21.13
The current in a resistor is given by I = (2.7A)sin(100t) when a voltage given by V = (180V)sin(100t) is applied to it.
Part A
What is the resistance value?
Express your answer using two significant figures.
=67
Correct
Part B
What is the frequency of the voltage source?
Express your answer using two significant figures.
f=___________Hz Part C
What is the period of the voltage source?
Express your answer using two significant figures.
=2.0×102
Correct Part D
What is the average power delivered to the resistor?
Express your answer using two significant figures.
P=______________W
C Exercise 21.13
The current in a resistor is given by I = (2.7A)sin(100t) when a voltage given by V = (180V)sin(100t) is applied to it.
Part A
What is the resistance value?
Express your answer using two significant figures.
=67
Correct
Part B
What is the frequency of the voltage source?
Express your answer using two significant figures.
f=___________Hz Part C
What is the period of the voltage source?
Express your answer using two significant figures.
=2.0×102
Correct Part D
What is the average power delivered to the resistor?
Express your answer using two significant figures.
P=______________W
C Exercise 21.13
The current in a resistor is given by I = (2.7A)sin(100t) when a voltage given by V = (180V)sin(100t) is applied to it.
Part A
What is the resistance value?
Express your answer using two significant figures.
=67
Correct
Part B
What is the frequency of the voltage source?
Express your answer using two significant figures.
f=___________Hz Part C
What is the period of the voltage source?
Express your answer using two significant figures.
=2.0×102
Correct Part D
What is the average power delivered to the resistor?
Express your answer using two significant figures.
P=______________W
C Exercise 21.13
The current in a resistor is given by I = (2.7A)sin(100t) when a voltage given by V = (180V)sin(100t) is applied to it.
Part A
What is the resistance value?
Express your answer using two significant figures.
=67
Correct
Part B
What is the frequency of the voltage source?
Express your answer using two significant figures.
f=___________Hz Part C
What is the period of the voltage source?
Express your answer using two significant figures.
=2.0×102
Correct Part D
What is the average power delivered to the resistor?
Express your answer using two significant figures.
P=______________W
C Exercise 21.13
The current in a resistor is given by I = (2.7A)sin(100t) when a voltage given by V = (180V)sin(100t) is applied to it. The current in a resistor is given by I = (2.7A)sin(100t) when a voltage given by V = (180V)sin(100t) is applied to it. Part A What is the resistance value? Express your answer using two significant figures. =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct
Part B =67
Correct =67 What is the frequency of the voltage source? Express your answer using two significant figures.
f=___________Hz Part C What is the period of the voltage source? Express your answer using two significant figures. =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102
Correct =2.0×102 Part D What is the average power delivered to the resistor? Express your answer using two significant figures.
P=______________W
P=______________W
Explanation / Answer
The current in a resistor is given by I = (2.7A)sin(100pt) when a voltage given by V = (180V)sin(100pt) is applied to it. (a) Then Imax = 2.7 A V_max = 180 V According to the Ohm's law we have V_max = (I_max)(R) (180 V) = (2.7 A)(R) R = 66.67 ohm (b) Comparing V = (180V)sin(100pt) with V = (V_max)sin[(omega)t] Then we get omega = 100p 2pf = 100p f = 50Hz (c) Time period is T = 1 / f = 1 / (50Hz) = 0.02 s (d) Power delivered to the resistor is P = V^2 / R = 486 W
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