A scientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surf
1 answer:
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To solve this problem we will apply the concepts related to the calculation of the surface, volume and error through the differentiation of the formulas given for the calculation of these values in a circle. Our values given at the beginning are
The radius then would be
And
PART A ) For the Surface Area we have that,
Deriving we have that the change in the Area is equivalent to the maximum error, therefore
Maximum error:
The relative error is that between the value of the Area and the maximum error, therefore:
PART B) For the volume we repeat the same process but now with the formula for the calculation of the volume in a sphere, so
Therefore the Maximum Error would be,
Replacing the value for the radius
And the relative Error
Complete Question
A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 1.60 T in 0.99 s. What is the resulting induced current if the loop has a resistance of
Answer:
The current is
Explanation:
From the question we are told that
The area is
The initial magnetic field at is
The magnetic field at is
The resistance is
Generally the induced emf is mathematically represented as
=>
=>
Generally the current induced is mathematically represented as
=>
=>