Podcast
Questions and Answers
The current through a filament lamp obeys Ohm's law in all conditions.
The current through a filament lamp obeys Ohm's law in all conditions.
False
The equation $I = kV^n$ describes the behavior of current through a filament lamp.
The equation $I = kV^n$ describes the behavior of current through a filament lamp.
True
The constant $n$ represents the conductivity of the filament lamp.
The constant $n$ represents the conductivity of the filament lamp.
False
Taking the logarithm of both sides of the equation leads to the relation $logI = logk + nlogV$.
Taking the logarithm of both sides of the equation leads to the relation $logI = logk + nlogV$.
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A rheostat is used in the experiment to vary the potential difference across the filament lamp.
A rheostat is used in the experiment to vary the potential difference across the filament lamp.
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The slope of the curve plotted between $I$ and $V$ represents the constant $k$.
The slope of the curve plotted between $I$ and $V$ represents the constant $k$.
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In the filament lamp experiment, heat loss occurs primarily through conduction.
In the filament lamp experiment, heat loss occurs primarily through conduction.
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An ammeter is used to measure the potential difference in the circuit setup.
An ammeter is used to measure the potential difference in the circuit setup.
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The filament lamp study aims to determine the values of constants $n$ and $k$.
The filament lamp study aims to determine the values of constants $n$ and $k$.
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Study Notes
Aim
- Studying the relationship between current and potential difference across a filament lamp.
- Determining the values of constants.
Theory
- Ohm's law states that current is directly proportional to potential difference for elements at a constant temperature.
- I = V / R
- Conductivity (k) is the reciprocal of resistance (R)
- In the case of a filament lamp, the current passing through it and the potential difference do not obey Ohm's law.
- The lamp heats up therefore energy is continuously lost by radiation.
- To study this non-ohmic case, consider the Log of both sides of an equation, applying the logarithmic rule.
- Log I = Log k + nLogV (Equation for relation to find the graph)
- n is the slope and Logk is the y-intercept, that relate to the filament lamp.
Procedure
- Set up the circuit using a DC source, rheostat, ammeter, voltmeter, lamp, and connecting wires.
- Connect the circuit as shown in the diagram.
- Adjust the rheostat and record readings for current (I) and potential difference (V).
- Repeat the process for different values.
- Tabulate the results to find Log I and Log V.
Further Analysis
- Plot a graph of Log I vs Log V.
- The graph will show a linear relationship (straight line)
- The slope of the graph represents n.
- The y-intercept of the graph represents log k.
Results
- Tabulate the results including values of I,V,Log I and Log V
- Plot the relationship to determine the slope and intercept representing log k.
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Description
This quiz explores the relationship between current and potential difference across a filament lamp, delving into the principles of Ohm's law and conductivity. It also examines the unique behavior of the filament lamp as it heats up, requiring a logarithmic approach to analyze its non-ohmic characteristics. Test your understanding of the concepts and procedures involved in this experiment.
