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Wheatstone bridge: concept and application

Problem

Consider the following circuit of three known resistors, R1, R3, and R4, an unknown resistor R2, and a galvanometer connected between the points B and C.
The circuit is connected to a cell of unknown voltage.
If the current in the galvanometer, IG=0, what is the resistance, R2?
R2=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
Ω