Identify the initial and final magnetic flux.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
3.
Step 1: Identify the initial and final magnetic flux.
Initial magnetic flux $\Phi_1 = 80 \text{ µWb}$.
Since the flux is reversed, the final magnetic flux $\Phi_2 = -80 \text{ µWb}$.
Step 2: Calculate the change in magnetic flux $\Delta \Phi$.
$$\Delta \Phi = \Phi_2 - \Phi_1 = (-80 \text{ µWb}) - (80 \text{ µWb})$$
$$\Delta \Phi = -160 \text{ µWb} = -160 \times 10^{-6} \text{ Wb}$$
Step 3: Apply Faraday's Law of Induction, $\mathcal{E} = -N \frac{\Delta \Phi}{\Delta t}$.
Given $N = 500$ turns and $\Delta t = 0.01 \text{ s}$.
$$\mathcal{E} = -(500) \times \frac{-160 \times 10^{-6} \text{ Wb}}{0.01 \text{ s}}$$
$$\mathcal{E} = (500) \times \frac{160 \times 10^{-6}}{0.01} \text{ V}$$
$$\mathcal{E} = 500 \times 160 \times 10^{-4} \text{ V}$$
$$\mathcal{E} = 80000 \times 10^{-4} \text{ V}$$
$$\mathcal{E} = 8 \text{ V}$$
The induced EMF is $\boxed{\text{8 V}}$.
What's next?
