The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15 Ω…

The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15Ω resistance is connected across BD. Calculate the current through the galvanometer when a potential difference of 10 V is maintained across AC.

  1. 2.44μA
  2. 2.44 mA
  3. 4.87 mA
  4. 4.87μA

Solution

x-10100+x-y15+x-010=0

53x-20y=30  (1)

y-1060+y-x15+y-05=0

17y-4x=10  (2)

on solving (1) & (2)

x=0.865

y=0.792

ΔV=0.073R=15 Ω

i=4.87 mA

Asked in: JEE Main 2021 (17 Mar Shift 2)

Practice more Current Electricity questions on Aicharya