A 200 turn coil is in a uniform magnetic field that is decreasing at the rate 0.20 T/s. The coil is perpendicular to the field a
1 answer:
Answer:
emf = 3.2V
Explanation:
In order to calculate the magnitude of the induced emf in the coil you use the following formula:
(1)
N: turns of the coil = 200
ФB: magnetic flux = A*B
A: area of the coil = (0.20m)(0.40m) = 0.08m²
B: magnitude of the magnetic field
You take into account that the area of the coil is constant, while magnetic field changes on time. Then, the equation (1) becomes:
(2)
dB/dt = rate of change of the magnetic field = -0.20T/s (it is decreasing)
You replace the values of all parameters in the equation (2):
The induced emf in the coil is 3.2V
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Answer:
Q = 1057.5 [cal]
Explanation:
In order to solve this problem, we must use the following equation of thermal energy.
where:
Q = heat energy [cal]
Cp = specific heat = 0.47 [cal/g*°C]
T_final = final temperature = 32 [°C]
T_initial = initial temperature = 27 [°C]
m = mass of the substance = 450 [g]
Now replacing:
Answer:
1) The greatest height attained by the ball equals 20.387 meters.
2) The time it takes for the ball to reach 15 meters approximately equals 1 second.
Explanation:
The greatest height will be attained when the ball stop's in the air and starts falling back to the earth.
thus using third equation of kinematics we obtain the height attained as
where
'v' is the final speed of the ball
'u' is the initial speed of the ball
'a' is the acceleration that the ball is under which in this case equals 9.81
's' is the distance it covers
Thus for maximum height applying the values in the equation we get
Using the same equation we can find the speed of the ball when it reaches 15 meters of height as
the time it takes to reduce the velocity to this value can be found by first equation of kinematics as