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Potentiometer: basic applications

Problem

Umar inspects a mysterious circuit element by connecting it to a potentiometer setup, as shown below.
The 600 cm long potentiometer wire, AB, is connected to a 24 V battery of negligible internal resistance. The connection, C, is chosen such that the current in the galvanometer, IG=0.
What is the potential drop across the circuit element, if AC=550 cm?
Vab=
  • 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
V