Concept explainers
(a)
representation of the slop from given graph.
(a)
Answer to Problem 101A
The slope of the line represents capacitance.
Explanation of Solution
Given:
The given graph is shown below:
Formula used:
The slope of a line is expressed as
Calculation:
The slope of given line from the graph is
It is known that, capacitance
Conclusion:
Hence, the slope of the line represents capacitance.
(b)
capacitance of the capacitor.
(b)
Answer to Problem 101A
The capacitance of the capacitor is
Explanation of Solution
Given:
The given graph is shown below:
Formula used:
The slope of a line is expressed as
Capacitance
Calculation:
Below graph shows a plot of potential difference across x-axis and charge across y-axis.
In the above graph, as the potential difference increases, the changes increases linearly and thus the graph obtained will be straight line passing through the origin.
The slope of the graph gives the capacitance of the capacitor. That is,
From the above graph,
So, the capacitance of the capacitor is,
Conclusion:
Hence, the capacitance of the capacitor is
(c)
the area under the graph line.
(c)
Answer to Problem 101A
The area under the graph line represents the energy stored in a capacitor or the work done.
Explanation of Solution
Given:
The given graph is shown below:
Formula used:
The area under the graph line is given by
Capacitance
Calculation:
Rearrange the equation (2),
Substitute the value of
It is known that, the energy stored in a capacitor or the work done is defined as
Therefore, the area under the graph line represents the energy stored in a capacitor or the work done.
Conclusion:
Hence, the area under the graph line represents the energy stored in a capacitor or the work done.
Chapter 21 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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