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il63 [147K]
3 years ago
11

If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3, then 1 R = 1 R1 + 1 R2 + 1

R3 . If the resistances are measured in ohms as R1 = 64 Ω, R2 = 20 Ω, and R3 = 8 Ω, with a possible error of 0.5% in each case, estimate the maximum error in the calculated value of R. (Round your answer to three decimal places.)
Physics
1 answer:
ANTONII [103]3 years ago
7 0

Answer:

\Delta R_{max} = 0.46 ohm

Explanation:

Resistance is given of different values

now we have

R_1 = 64 ohm

R_2 = 20 ohm

R_3 = 8 ohm

possible error in all resistance is 0.5 %

now we know that

\Delta R_1 = 0.005\times 64 = 0.32 ohm

\Delta R_2 = 0.005 \times 20 = 0.1 ohm

\Delta R_2 = 0.005 \times 8 = 0.04 ohm

Now the maximum possible error when all resistance is connected in series

\Delta R_{max} = \Delta R_1 + \Delta R_2 + \Delta R_3

\Delta R_{max} = 0.32 + 0.1 + 0.04

\Delta R_{max} = 0.46 ohm

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3 years ago
Assuming that Albertine's mass is 60.0 kg , for what value of μk, the coefficient of kinetic friction between the chair and the
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Answer:

\mu_k=0.101

Explanation:

It is given that,

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\dfrac{1}{2}kx^2=\mu_k mgh

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3 years ago
cylindrical container is to be constructed to be open at the top with a volume of 27π cubic meters using the least amount of mat
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Answer:

radius comes out to be 3 m

height of the cylinder comes out to be 3m

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surface area of cylinder open at the top

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S = 2\pi \dfrac{27}{r} + \pi r^2

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\dfrac{54\pi }{r^2} = 2\pi r\\r=3m

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