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20 Nov 2017, 12:43
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
86% (00:58) correct
14%
(00:52)
wrong
based on 63
sessions
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Not Attempted Yet
The microcurrent through the electrode in a delicate circuit is usually held constant at \(3.6*10^{(-8)}\) amps. Because of a defect in another part of the circuit, the current was 1,000 times smaller. What was the current, in amps, caused by this defect?
A. \(3.6 * 10^{(-8000)}\)
B. \(3.6 * 10^{(-24)}\)
C. \(3.6 * 10^{(-11)}\)
D. \(3.6 * 10^{(-5)}\)
E. \(3.6 * 10^{(-\frac{8}{3})}\)
A. \(3.6 * 10^{(-8000)}\)
B. \(3.6 * 10^{(-24)}\)
C. \(3.6 * 10^{(-11)}\)
D. \(3.6 * 10^{(-5)}\)
E. \(3.6 * 10^{(-\frac{8}{3})}\)
20 Nov 2017, 13:01
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Bunuel
C. \(3.6 * 10^{(-11)}\) is \(10^{(-3)}\) times less than \(3.6*10^{(-8)}\)
18 Nov 2019, 10:22
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Bunuel
Key concept #1: If X is 1000 times smaller than Y, we can write: X = Y/1000
Key concept #2: \(\frac{ab}{c}=(a)(\frac{b}{c})\)
So, the measure of the resulting current = \(\frac{3.6*10^{(-8)}}{1000}\)
Rewrite as: \(\frac{3.6*10^{(-8)}}{10^3}\)
Use Concept #2 to rewrite as: \((3.6)\frac{10^{(-8)}}{10^3}\)
Apply Quotient Law for exponents to get: \((3.6)(10^{(-8-3)})\)
Simplify: \((3.6)(10^{(-11)})\)
Answer: C
Cheers,
Brent
