Marks: 2
The magnetic field of a circular loop of wire changes from 0.3 Tesla to 0.4 Tesla in 0.2 seconds. What is the induced emf produced in a coil if the area of the circular loop is 1m2?
Choose one answer.
a. 0.1 V
b. 0.2 V
c. 0.5 V
d. 0.6 V
To find the induced emf produced in the coil, we can use Faraday's law of electromagnetic induction, which states that the induced emf (ε) is equal to the rate of change of magnetic flux (Φ) through the coil.
The magnetic flux (Φ) through a loop is given by the product of the magnetic field (B) and the area (A) of the loop: Φ = B * A.
In this case, the magnetic field changes from 0.3 Tesla to 0.4 Tesla, so the change in magnetic field (ΔB) is 0.4 Tesla - 0.3 Tesla = 0.1 Tesla.
The area of the circular loop is given as 1 m².
Therefore, the change in magnetic flux (ΔΦ) is given by: ΔΦ = ΔB * A = 0.1 Tesla * 1 m² = 0.1 Weber.
Since the change in magnetic flux (ΔΦ) is equal to the induced emf (ε), the induced emf produced in the coil is 0.1 V.
Therefore, the correct answer is a. 0.1 V.
To find the induced emf produced in a coil, we can use Faraday's Law of electromagnetic induction, which states that the induced emf (ε) is equal to the rate of change of magnetic flux (Φ) through the coil.
The magnetic flux (Φ) is defined as the product of the magnetic field (B) and the area (A) through which it is passing. Mathematically, it can be expressed as Φ = B * A.
In this case, the magnetic field changes from 0.3 Tesla to 0.4 Tesla, so the change in magnetic field (ΔB) is: ΔB = 0.4 Tesla - 0.3 Tesla = 0.1 Tesla.
The area of the circular loop is given as 1 m^2.
Now, to find the induced emf (ε), we multiply the change in magnetic field (ΔB) by the area (A):
ε = ΔB * A = 0.1 Tesla * 1 m^2 = 0.1 V
Therefore, the induced emf produced in the coil is 0.1 V.
So, the correct answer is (a) 0.1 V.