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A 9.7 V DC battery is connected across a circuit that consists of three components in series: a 2 resistor, a silicon diode, and a parallel combination of two resistors ( 6 and 3 ). The diode is oriented such that it is forward-biased. If the silicon diode has a barrier potential of 0.7 V and a forward resistance of 0.5 , the total current drawn from the battery is:

Options

  1. A2.00 A
  2. B2.15 A
  3. C2.25 A
  4. D2.31 A

Correct answer

A. 2.00 A

Step-by-step solution

The circuit consists of a 2 resistor, a forward-biased silicon diode, and a parallel combination of 6 and 3 resistors, all in series. First, calculate the equivalent resistance of the parallel combination ( R_p ): R_p = 6 3 6 + 3 = 18 9 = 2 The silicon diode is non-ideal, so it has a barrier potential ( V_k = 0.7 V ) and a forward resistance ( r_f = 0.5 ). The total equivalent resistance of the circuit ( R_ eq ) includes the series resistor, the diode's forward resistance, and the parallel combination: R_ eq = R₁ +

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