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Four ideal diodes are connected as shown then the current drawn from the battery is

Circuit: a 10 V battery in series with diode D1, then two parallel branches, D3 with 500 ohm and D2 with 500 ohm, then a 500 ohm resistor and diode D4

  • A.zero
  • B.10 mA
  • C.100 mA
  • D.50 mA
  • E.20 mA

Answer: B

The current drawn is 10 mA.

The battery's longer plate, its positive terminal, faces diode D1, so current leaves it towards D1, whose arrow points up the left side. D1 conducts. At the junction the current can take D3 or D2. D3 points from the left to the right, so it conducts; D2 points the other way, so it is reverse biased and carries nothing. The current therefore goes through D3 and its 500 Ω resistor, comes down through the third 500 Ω resistor and passes D4, whose arrow points downward, so D4 conducts, and returns to the battery.

Ideal diodes that conduct have no drop, so the circuit is two 500 Ω resistors in series:

\[ \begin{aligned} I &= \frac{V}{R} = \frac{10}{500 + 500} \\ &= 0.01\ \text{A} = 10\ \text{mA} \end{aligned} \]

Zero would need a blocked diode in the only path, which is not the case. 20 mA would need both upper branches to conduct, and 50 or 100 mA would need resistances of 200 or 100 Ω, far below what the circuit has.

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