Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsCurrent Electricity

Figure shows an infinite ladder network of resistances. The equivalent resistance between points X and Y is

Options

  1. Ainfinite
  2. B3 Ω
  3. C8.62 Ω
  4. D1.62 Ω

Correct answer

D. 1.62 Ω

Step-by-step solution

Let R e q be the equivalent resistance of this network. ⇒ R eq = 1 + R eq × 1 1 + R eq ⇒ R + R 2 = 1 + R + R ⇒ R 2 - R - 1 = 0 ⇒ R = 1 ± 1 + 4 × 1 2 × 1 ⇒ R = 1 ± 5 2 ⇒ R =1.62 Ω

Practice Current Electricity on Quantrex Academy →

More from Current Electricity

A metal wire of cross-sectional area 0.5 mm ^2 and length 100 m is connected across a battery of e.m.f. 2 V and internal resistance 1 . The density, atomic mass and electrical cond 2026As shown in the figure, the resistance of a galvanometer G can be found by the half-deflection method. Here the resistance R₂ is adjusted such that when the key K is closed the def 2026The stored charge in the capacitor in steady state of the following circuit is ________ C. 2026A moving coil of galvanometer when shunted with 2 , resistance gives a full scale deflection for a current of 500 mA. When a resistance of 470 , is connected in series it gives a f 2026Two cells of emfs 1 V and 2 V and internal resistance 2 , and 1 , , respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one 2026Refer to the circuit diagram given below. The heat generated across the 6 , resistance in 100 second is 100 J. The value of is _______. (Nearest integer) 2026In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5 A , respectively. The least counts of voltm 2026Under steady state condition the potential difference across the capacitor in the circuit is _______ V. 2026 Full Current Electricity list All 99 Percentile Qs Bank for JEE Main PYQs