Part D Light bulbs are often assumed to obey Ohm's law. However, this is not really true because their resistance increases substantially as the filament heats up in its "working state. A typical flashlight bulb at full brilliance draws a current of approximately 0.5 A when connected to a 3-V voltage source. For this problem, assume that the changing resistance

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Chapter1: Units, Trigonometry. And Vectors
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Item 5
A large capacitor has a charge + q on one plate and -q on the other. At
time t = 0, the capacitor is connected in series to two ammeters and a light
bulb. Immediately after the circuit is closed, the ammeter connected to the
positive plate of the capacitor reads Ip and the ammeter connected to the
negative plate of the capacitor reads IN (Figure 1)
Each ammeter reads positive if current flows through the circuit in a
clockwise direction (from the + to the terminal of the meter).
Figure
+ g(t)
+|||
q(t)
A
IN
1 of 1
Correct
This is a fundamental result that reflects the law of conservation of charge. In a circuit where all elements are arranged in series, the current is the same through all the
elements. Otherwise, the electric charge would, in effect, "accumulate" or "disappear" somewhere in the circuit.
Part C
In a circuit where all elements are arranged in parallel, the current may be different in different branches. This result is formalized in Kirchhoff's junction law: The algebraic
sum of currents entering any junction must be zero.
What is the relationship between the current and charge? As the charge q (t) on the positive plate of the capacitor decreases, what happens to the value of the current?
The current
Submit
Correct
Part D
tbright =
increases.
Submit
decreases.
does not change.
Previous Answers
Provide Feedback
Light bulbs are often assumed to obey Ohm's law. However, this is not really true because their resistance increases substantially as the filament heats up in its "working" state.
A typical flashlight bulb at full brilliance draws a current of approximately 0.5 A when connected to a 3-V voltage source. For this problem, assume that the changing resistance
causes the current to be 0.5 A for any voltage between 2 and 3 V.
Suppose this flashlight bulb is attached to a capacitor as shown in the circuit from the problem introduction. If the capacitor has a capacitance of 3 F (an unusually large but not
unrealistic value) and is initially charged to 3 V, how long will it take for the voltage across the flashlight bulb to drop to 2 V (where the bulb will be orange and dim)? Call this time
tbright-
Express tbright numerically in seconds to the nearest integer.
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Transcribed Image Text:Item 5 A large capacitor has a charge + q on one plate and -q on the other. At time t = 0, the capacitor is connected in series to two ammeters and a light bulb. Immediately after the circuit is closed, the ammeter connected to the positive plate of the capacitor reads Ip and the ammeter connected to the negative plate of the capacitor reads IN (Figure 1) Each ammeter reads positive if current flows through the circuit in a clockwise direction (from the + to the terminal of the meter). Figure + g(t) +||| q(t) A IN 1 of 1 Correct This is a fundamental result that reflects the law of conservation of charge. In a circuit where all elements are arranged in series, the current is the same through all the elements. Otherwise, the electric charge would, in effect, "accumulate" or "disappear" somewhere in the circuit. Part C In a circuit where all elements are arranged in parallel, the current may be different in different branches. This result is formalized in Kirchhoff's junction law: The algebraic sum of currents entering any junction must be zero. What is the relationship between the current and charge? As the charge q (t) on the positive plate of the capacitor decreases, what happens to the value of the current? The current Submit Correct Part D tbright = increases. Submit decreases. does not change. Previous Answers Provide Feedback Light bulbs are often assumed to obey Ohm's law. However, this is not really true because their resistance increases substantially as the filament heats up in its "working" state. A typical flashlight bulb at full brilliance draws a current of approximately 0.5 A when connected to a 3-V voltage source. For this problem, assume that the changing resistance causes the current to be 0.5 A for any voltage between 2 and 3 V. Suppose this flashlight bulb is attached to a capacitor as shown in the circuit from the problem introduction. If the capacitor has a capacitance of 3 F (an unusually large but not unrealistic value) and is initially charged to 3 V, how long will it take for the voltage across the flashlight bulb to drop to 2 V (where the bulb will be orange and dim)? Call this time tbright- Express tbright numerically in seconds to the nearest integer. ► View Available Hint(s) 5 of 15 Review 0 17| ΑΣΦΑ ? S Next > >
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