Coefficient of mutual induction is the ratio ofa)Induced e.m.f in prim...
C should be the answer e in sec cool =M×rate of change in current in primary coil
Coefficient of mutual induction is the ratio ofa)Induced e.m.f in prim...
The coefficient of mutual induction (M) is a measure of the ability of one coil to induce an electromotive force (emf) in another coil when the current in the first coil changes. It is defined as the ratio of the induced emf in the primary coil to the rate of change of current in the primary coil.
Explanation:
- Mutual Induction: Mutual induction occurs when the changing current in one coil induces an emf in an adjacent coil. This phenomenon is based on Faraday's law of electromagnetic induction, which states that a changing magnetic field induces an emf in a nearby conductor.
- Coefficient of Mutual Induction: The coefficient of mutual induction (M) quantifies the strength of this mutual induction. It is a property of the two coils and depends on their geometry and arrangement.
- Induced emf in Primary Coil: When the current in the primary coil changes, a changing magnetic field is produced. This changing magnetic field induces an emf in the primary coil itself. This self-induced emf can be calculated using Faraday's law.
- Rate of Change of Current in Primary Coil: The rate of change of current in the primary coil refers to how fast the current is changing with time. It can be measured in amperes per second (A/s) or other similar units.
- Ratio of Induced emf to Rate of Change of Current: The coefficient of mutual induction (M) is defined as the ratio of the induced emf in the primary coil to the rate of change of current in the primary coil. Mathematically, it can be expressed as M = (Induced emf in primary coil) / (Rate of change of current in primary coil).
- Significance of Coefficient of Mutual Induction: The coefficient of mutual induction determines how efficiently one coil can induce an emf in another coil. It plays a crucial role in the operation of transformers and other devices based on mutual induction.
In conclusion, the coefficient of mutual induction is the ratio of the induced emf in the primary coil to the rate of change of current in the primary coil. It quantifies the ability of one coil to induce an emf in another coil when the current in the first coil changes.