JEE Main 2024 · 4 April · morning · Single correct · +4 / −1

The value of net resistance of the network as shown in the given figure is :

JEE Main PYQ figure
  1. (a) (30 / 11) Ω
  2. (b) 6 Ω
  3. (c) (5 / 2) Ω
  4. (d) (15 / 4) Ω
Answer and solution

Answer (b) 6 Ω

Solution

Physics sir · 3 steps

Before adding anything, check which diodes conduct; a reverse-biased branch drops out completely.

  1. Find current direction. The left end is at -6 V and the right end is at -8 V. Since -6 > -8, the left end is at the higher potential, so current tries to flow from left to right.
  2. Check each diode. In the middle branch the diode's arrow points right, along the current. It is forward biased and acts like a plain wire. In the bottom branch the arrow points left, against the current. It is reverse biased, so that branch carries no current.
    BranchDiodeConducts?
    15 Ωnoneyes
    10 Ωpoints right, forward biasedyes
    5 Ωpoints left, reverse biasedno, open circuit

    Rₙₑₜ = (15 × 10)/(15 + 10) = 150/25 = 6 Ω

  3. So. Only the 15 Ω and 10 Ω branches are in parallel. Together they give a net resistance of 6 Ω, option (b).

The idea to keep. In any circuit with ideal diodes, first find which end is at the higher potential. A forward-biased diode is a wire, and a reverse-biased diode cuts its whole branch out.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Current Electricity

Asked about 250 times in JEE Main since 2020. This question is from 2024.