Which of the following best describes magnetic fields? Question 4 options: Magnetic fields must have only positive charges. Magn
2 answers:
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Answer:
after 9.00 s ; the magnitude of the induced emf = 0.000944 V
The induced current will be in the clockwise direction.
Explanation:
To find the circumference of the circle ; we use the expression:
C = 2πr
differentiating the above expression to determine the rate of change of the circumference; we have:
Here ; the rate of change of the circumference is
Replacing 12.0 cm/s for ; we have :
However ;the area of the circle is expressed as:
A = πr²
Also; the rate of change of the area is determined as;
Here; the rate of change of area is
Replacing - 12.0 cm/s for in equation (2) ; we have:
Now; after 9.00 s ; the value of circumference of the loop is decreased by:
= 1.08 m
The expression for the circumference of the loop after 9.00 s is:
Given that :
C = ( 1.7 - 1.08) m
C = 0.62 m
Recall that :
C = 2πr
0.62 = 2×3.14 × r
r =
r = 0.099 m
Replacing r = 0.099 m into equation (3)
From Faraday's law, Induced emf (ε) is expressed as:
and the magnetic flux is given as:
replacing the value of into above equation; we have:
=
where θ = 0 ; B = 0.800 T and = -0.0118 m²/s
Therefore; after 9.00 s ; the magnitude of the induced emf = 0.000944 V
b) The magnitude of id directing into the plane; However ; considering Lenz's law ; it states that the changes produced in the field will be opposed by the induced current. Thus ; it is found that the direction of the current will be in clockwise direction.