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Five resistors, each 10 Ω, are connected in parallel to a voltage source. What is the equivalent resistance of the circuit?

A: 5 Ω
B: 50 Ω
C: 2 Ω
D: 20 Ω

User Botmsh
by
7.2k points

1 Answer

7 votes

Answer:

So the answer is C: 2 Ω.

Step-by-step explanation:

The equivalent resistance of a parallel circuit is given by the formula:

1/R_equiv = 1/R1 + 1/R2 + ... + 1/Rn

In this case, there are 5 resistors each with a resistance of 10 ohms, so:

1/R_equiv = 1/10 + 1/10 + 1/10 + 1/10 + 1/10 = 5/10 = 0.5

And the equivalent resistance is:

R_equiv = 1 / 0.5 = 2 ohms

So the answer is C: 2 Ω.

User FredericK
by
7.4k points