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The input characteristics of a transistor in CE mode is the graph obtained by plotting
a) ${{I}_{B}}$ against ${{V}_{BE}}$ at constant ${{V}_{CE}}$
b) ${{I}_{B}}$ against ${{V}_{CE}}$ at constant ${{V}_{BE}}$
c) ${{I}_{B}}$ against ${{I}_{C}}$ at constant ${{V}_{CE}}$
d) ${{I}_{V}}$ against ${{I}_{C}}$ at constant ${{V}_{BE}}$

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Hint: The common emitter characteristics are the graphs drawn between voltages and currents for a transistor when its emitter is taken as a common terminal and grounded, base is the input terminal and collector is the output terminal. The input characteristics are studied by plotting the graph of the input current and the input voltage. Hence we will see For CE mode how the transistor is arranged and accordingly come to an answer of the above question.

Complete answer:
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In the above diagram we can see that the n-p-n transistor is connected in common emitter configuration. There are three types of curves that are studied for the above configuration. The input characteristics , the output characteristics and transfer characteristics. The input characteristics are studied by plotting graphs showing variation of base current ${{I}_{B}}$ with base-emitter voltage ${{V}_{BE}}$ at constant collector-emitter voltage ${{V}_{CE}}$ is called the input characteristics of the transistor.
Hence from the above information we can conclude that the correct answer of the above question is option a.
So, the correct answer is “Option a”.

Note: A graph showing variation of the collector current ${{I}_{C}}$ with collector-emitter voltage ${{V}_{CE}}$ at constant base current ${{I}_{B}}$ is called the output characteristics of the transistor. Similarly, A graph showing variation of collector current ${{I}_{C}}$ with the base current ${{I}_{B}}$ at constant collector-emitter voltage ${{V}_{CE}}$ is called the transfer characteristic of the n-p-n transistor. These characteristics are studied and various applications of transistors are harnessed.