Machine-translated by Google. Questions are authored in English.
Top

Discussion

The parallel combination of two diodes are connected in series with battery and resistance as shown in figure. The diodes are identical and have forward breakdown voltage of 0.7 V. The diode currents are __________.

A 10 V battery in series with a 3.1 kilohm resistor carrying I1 into two parallel forward-biased diodes carrying ID1 and ID2, each with 0.7 V across it

  • A.3.23 A and 3.23 A
  • B.3 mA and 3 mA
  • C.1.5 mA and 1.5 mA
  • D.3.22 mA and 3.22 mA

Answer: C

The diode currents are 1.5 mA and 1.5 mA.

The parallel diodes hold 0.7 V across themselves, so the resistor carries the rest of the battery voltage, and the identical diodes share the current equally.

\[ \begin{aligned} I_{1} &= \frac{10 - 0.7}{3.1\ \text{k}\Omega} = 3\ \text{mA} \\ I_{D1} &= I_{D2} = \frac{3}{2} = 1.5\ \text{mA} \end{aligned} \]

3 mA each forgets that the total divides between the two diodes. 3.22 or 3.23 come from ignoring the 0.7 V drop (\(10/3.1 \approx 3.23\) mA), and amperes instead of milliamperes is a units slip.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.