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The induced emf in the loop is -1500 μ V or - 0.0015 V .
According to the question
A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t.
i.e
Magnetic field (B) = 0. 50 T
Area of circle or loop =
Now,
The area of the loop decreases at a rate of 3. 0 × 10⁻³ m/s
i.e
dA = 3. 0 × 10⁻³ meter²
dt = 1 sec
As per the formula of Induced e.m.f in the loop
emf is dependent on number of turns of coil, shape of the coil, strength of magnet and speed with which magnet is moved. Emf is independent of resistivity of wire of the coil.
where A is the area of the loop.
Now ,
Substituting the values in the formula
e = - 0.0015 V
OR
e = -1500 * 10⁻⁶ V
e = -1500 μ V
Negative just signifies emf will such be induced that current induced will oppose change in magnetic field though it
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Explanation:
Given that,
Area enclosed by a brass bracelet,
Initial magnetic field,
The electrical resistance around the circumference of the bracelet is, R = 0.02 ohms
Final magnetic field,
Time,
The expression for the induced emf is given by :
= magnetic flux
So, the induced emf in the bracelet is 0.678 volts.
Using ohm's law to find the induced current as :
V = IR
I = 33.9 A
or
I = 34 A
So, the induced current in the bracelet is 34 A. Hence, this is the required solution.