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Question

A technician applies an increasing potential difference to the plates of a custom-built capacitor. The magnitude of charge on each plate for each separate voltage is recorded. The graph shows charge in micro-coulombs plotted against potential difference.
Use the graph to answer the following two questions.
What is the approximate capacitance, C, of this capacitor?
And what is the electric potential operating range during which this device properly acts like a capacitor?
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A
C = 60 micro-farads; Operating Range: 0 - 100V
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B
C = 60 micro-farads; Operating Range: 0 - 40V
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C
C = 2700 micro-farads; Operating Range: 60 - 100V
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D
C = 40 micro-farads; Operating Range: 0 - 40V
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E
C = 0.017 micro-farads; Operating Range: 0 - 40V
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Solution

The correct option is A C = 60 micro-farads; Operating Range: 0 - 40V
The slope of curve in charge-potential difference graph gives the capacitance of the capacitor.
Capacitance C=ΔQΔV=24000400=60 micro-farads
The graph is linear upto 40 V, thus the operating range of the capacitor is 040 V.

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