Lenz's Law Insight?

📌 CONCEPT: Lenz's Law states that the direction of the induced current in a coil is such that it opposes the change in the magnetic flux that caused it.

📐 RULE / FORMULA: The induced EMF (ε) is given by Faraday's law of induction: ε = -N(dΦ/dt), where N is the number of turns and dΦ/dt is the rate of change of magnetic flux.

💡 WORKED EXAMPLE: Given dΦ/dt = -0.1 T/s (negative because the magnetic field is decreasing) and N = 100, we can calculate the induced EMF: ε = -100 * (-0.1) = 10 V. Applying Ohm's law, I = ε/R = 10/5 = 2 A. Since the inductor (L) has no effect on the induced current, the current will indeed flow in the coil. The direction of the induced current can be determined by the right-hand rule, which is not shown here.

⚠️ COMMON MISTAKE: Students often forget to consider the direction of the induced current as per Lenz's Law or incorrectly apply the formula for induced EMF.