The drawing shows a plot of the output emf of a generator as a function of time t. The coil of this device has a cross-sectional
1 answer:
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Answer:
a) frequency is 2.381 Hz
b) the angular frequency/speed is 14.96 rad/s
c) the magnitude of the magnetic field is 0.5199 T
Explanation:
Given that;
cross sectional Area A = 0.018 m²
Number of turns N = 200
from the diagram. maximum time T = 0.42 sec
a) the frequency f of the generator in hertz
frequency = 1 / T
we substitute
frequency = 1 / 0.42 = 2.381 Hz
Therefore, frequency is 2.381 Hz
b) the angular frequency in rad/s
angular speed ω = 2πf
we substitute
ω = 2π × 2.381
ω = 14.96 rad/s
Therefore, the angular frequency/speed is 14.96 rad/s
c) the magnitude of the magnetic field.
to determine the magnitude of the magnetic field, we use the following expression;
e = NBAω
from the diagram, e = 28.0 V
so we substitute
28.0 V = 200 × B × 0.018 × 14.96
28 = 53.856B
B = 28 / 53.856
B = 0.5199 T
Therefore, the magnitude of the magnetic field is 0.5199 T
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Answer:
proof in explanation
Explanation:
First, we will calculate the number of half-lives:
where,
n = no. of half-lives = ?
t = total time passed = 2100 million years
= half-life = 700 million years
Therefore,
Now, we will calculate the number of uranium nuclei left ():
and the rest of the uranium nuclei will become thorium nuclei ()
dividing both:
<u>Hence, it is proven that after 2100 million years there are seven times more thorium nuclei than uranium nuclei in the rock.</u>