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The converted output of the ADC depends upon :

  • A.Value of R
  • B.Value of C
  • C.\(\mathrm{T_{2}}\)
  • D.\(\mathrm{T_{1}}\)

Answer: C

The converted output depends upon \(T_2\).

The counter runs during \(T_2\) and its count is the digital output. From the passage, \(T_2 = T_1\,(v'_A/V_{\mathrm{REF}})\). \(T_1\) is fixed and \(V_{\mathrm{REF}}\) is a constant, so \(T_2\), and with it the count, is proportional to the analog input \(v'_A\).

\(R\) and \(C\) set both slopes and cancel out of that relation, so the output does not depend on them (A and B are wrong). \(T_1\) is a fixed interval, the time for the counter to fill, so it does not carry the information (D is wrong).

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