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

A galvanometer having a coil resistance of 50 is converted into a voltmeter of range 0 to 10 V by connecting a series resistance of 4950 . What is the value of the shunt resistance required to convert the same galvanometer into an ammeter of range 0 to 10 mA ?

Options

  1. A10
  2. B200
  3. C12.5
  4. D5.5

Correct answer

C. 12.5

Step-by-step solution

Let the full-scale deflection current of the galvanometer be I_g . For the voltmeter conversion, the total resistance is R_v = G + R . Using Ohm's law, V = I_g(G + R) 10 = I_g(50 + 4950) 10 = I_g(5000) I_g = 2 10⁻³ A = 2 mA To convert the galvanometer into an ammeter of range I = 10 mA , a shunt resistance S is connected in parallel. The formula for the shunt resistance is S = I_g G I - I_g S = 2 50 10 - 2 = 100 8 = 12.5 Answer: 12.5

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