Final answer:
The question involves the application of electromagnetic induction and Faraday-Lenz Law in calculating the induced electromagnetic force (emf) in a conducting loop placed in a time-varying magnetic field. Key steps include calculating magnetic flux at the given time and determining its rate of change, followed by applying Faraday-Lenz Law.
Step-by-step explanation:
The subject of this question is electromagnetic induction and the concept focused on is the Faraday-Lenz law which states that the induced electromotive force (emf) in any closed circuit is equal to the negative of the derivative of the magnetic flux through the circuit. In this particular question, a conducting loop of area 5 cm2 is placed in a magnetic field which varies over time (B=0.2sin300t), thereby inducing an emf.
Here's how to calculate the emf:
- Firstly, convert the area into m² as 5 cm2 = 5 x 10-4 m2.
- Then, we have to calculate the magnetic flux through the coil at time t = π/900 s, using the formula: Φ = BAcosӨ. In this case, B = 0.2sin(300*π/900) = 0.2, A = 5 x 10-4 m2, and Ө = 60 degrees or π/3 rad.
- Find the rate of change of this magnetic flux, dΦ/dt, using the given B(t).
- Finally, use Faraday-Lenz law, which tells us emf=-dΦ/dt. The negative sign in Faraday-Lenz Law indicates that the emf is created in such a direction that the current generated will always act to oppose the change in the original magnetic field (Lenz's law).
Executing these steps should give you the correct option for emf induced at t = π/900 s among the given choices.
Learn more about Electromagnetic Induction