{"type":"flashcards","topic":"Electromagnetic Induction","output":{"cards":[{"front":"Faraday's Law of Induction","back":"The induced electromotive force (emf) in a closed circuit is directly proportional to the rate of change of magnetic flux linkage with the circuit.","hint":"Focus on the relationship between emf and the change in flux.","type":"definition","difficulty":"medium","topic":"Electromagnetic Induction"},{"front":"Induced emf formula","back":"ε = -N(dΦ/dt) [SI unit: Volt (V)], where N is the number of turns, Φ is the magnetic flux, and dΦ/dt is the rate of change of flux. The negative sign indicates the direction of the induced current as per Lenz's Law.","hint":"Remember the minus sign and its significance for direction.","type":"formula","difficulty":"medium","topic":"Electromagnetic Induction"},{"front":"Process of electromagnetic induction","back":"1. A conductor is placed in a magnetic field. 2. The magnetic flux through the conductor changes. 3. An emf and current are induced in the conductor.","hint":"Think of the sequence of events that must occur.","type":"process","difficulty":"easy","topic":"Electromagnetic Induction"},{"front":"Faraday's Law keyword","back":"Flux linkage.","hint":"This is the quantity that is changing to induce the emf.","type":"keyword","difficulty":"easy","topic":"Electromagnetic Induction"},{"front":"Common mistake in Faraday's Law","back":"Forgetting the negative sign in ε = -N(dΦ/dt), which violates Lenz's Law and gives the direction of induced current.","hint":"The sign is crucial for determining the direction of the induced current.","type":"mistake","difficulty":"medium","topic":"Electromagnetic Induction"},{"front":"Likely exam question","back":"A coil of 50 turns is placed in a uniform magnetic field. The field strength is 0.2 T. If the area of the coil is 0.01 m², find the rate of change of flux required to induce an emf of 0.5 V. [Hint: ε = -N(dΦ/dt)]","hint":"Use the formula and show the steps to find dΦ/dt.","type":"exam answer","difficulty":"hard","topic":"Electromagnetic Induction"},{"front":"Self-induction formula","back":"L = Φ/I [SI unit: Henry (H)], where L is the self-inductance, Φ is the magnetic flux linkage, and I is the current.","hint":"This formula relates flux and current in a coil.","type":"formula","difficulty":"medium","topic":"Electromagnetic Induction"},{"front":"Lenz's Law keyword","back":"Induced current.","hint":"This is what the law helps determine the direction of.","type":"keyword","difficulty":"easy","topic":"Electromagnetic Induction"}]},"model_used":"sarvam:sarvam-30b","is_fallback":false,"trust_note":"No source attached — output is built from topic, goal, and level only.","source_id":null,"study_profile_id":null}