Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE MainPhysicsCurrent Electricity

A battery of 24 V is connected in a series circuit containing a fixed resistor of 1 k and N identical resistors, each of resistance 50 . If the potential difference across a combination of 5 such identical resistors is 4 V , the value of N is:

Options

  1. A30
  2. B4
  3. C10
  4. D5

Correct answer

C. 10

Step-by-step solution

Let the total number of 50 resistors be N . The equivalent resistance of the entire series circuit is: R_ eq = 1000 + 50N The current flowing through the circuit is: I = 24 1000 + 50N The resistance of the 5 identical resistors is: R₅ = 5 50 = 250 The potential difference across these 5 resistors is given as 4 V . Using Ohm's law: V₅ = I R₅ 4 = ( 24 1000 + 50N ) 250 Solving for N : 4 = 6000 1000 + 50N 1000 + 50N = 1500 50N = 500 N = 10 Answer: 10

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 JEE Main PYQs