Mariah will build a circuit that requires equivalent resistance of 250Ω but she only have two 500Ω resistors, which of the following should you do to these available resistors?

Connect the two 500Ω resistors in series.
Connect the two 500Ω resistors in parallel.
Connect the two 500Ω resistors in a simple circuit.
Connect the two 500Ω resistors in series-parallel.

Respuesta :

Answer:

Connect the two 500Ω resistors in parallel.

Explanation:

If Mariah  needs an equivalent resistance of 250Ω  but she only have two 500Ω resistors, then the two 500Ω resistors must be connected in parallel.

  • When resistors are connected in series, the equivalent resistance is obtained from;

Req = R1 + R2 + R3 ------+ Rn

  • When resistors are connected in parallel, the equivalent resistance is obtained as;

1/Req = 1/R1 + 1/R2 + 1/R3 -------- + 1/Rn

Hence, if Mariah  needs an equivalent resistance of 250Ω  but she only have two 500Ω resistors, then the two 500Ω resistors must be connected in parallel.

1/Req = 1/500 + 1/500

Req = 250Ω

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