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Potentiometer: basic applications


Umar inspects a mysterious circuit element by connecting it to a potentiometer setup, as shown below.
The 600, space, start text, c, m, end text long potentiometer wire, start text, A, B, end text, is connected to a 24, space, start text, V, end text battery of negligible internal resistance. The connection, start text, C, end text, is chosen such that the current in the galvanometer, I, start subscript, start text, G, end text, end subscript, equals, 0.
What is the potential drop across the circuit element, if start text, A, C, end text, equals, 550, space, start text, c, m, end text?
V, start subscript, start text, a, b, end text, end subscript, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
start text, V, end text