Three resistors of resistances 2, 4 and 8 ohms are connected in parallel. What is the equivalent resistance?
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A.
3.1 ohms
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B.
1.1 ohms
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C.
0.4 ohms
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D.
2.3 ohms
Correct Answer:
B. 1.1 ohms
Explanation:
To find the equivalent resistance for resistors connected in parallel, use the formula 1/Rp = 1/R1 + 1/R2 + 1/R3. Substituting the given values, 1/Rp = 1/2 + 1/4 + 1/8, which equals 4/8 + 2/8 + 1/8 = 7/8. Taking the reciprocal gives an equivalent resistance of 8/7 ohms, or approximately 1.14 ohms. Among the provided options, 1.1 ohms is the closest value.
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