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Determine the equivalent resistance between the terminals a and b of the given circuit.

A resistor circuit between terminals a and b with four 10 ohm resistors: a pair at the top left and two vertical branches on the right.

  • A.5 Ohm
  • B.20 Ohm
  • C.10 Ohm
  • D.15 Ohm

Answer: C

In the figure two 10 ohm resistors form a parallel pair at the top, so they give 5 ohms, and two 10 ohm resistors form a parallel pair at the right, which again gives 5 ohms. The two pairs are in series between the terminals a and b.

\[ R_{ab} = 5 + 5 = 10\ \Omega \]

So the equivalent resistance is 10 ohms, option (C). The value 5 ohms is the resistance of one pair only, and 15 and 20 ohms would need three or four resistors in series.

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