Mathematics · Electromagnetic Induction
Consider two magnetically coupled coils where Loop 1 has self-inductance L1 and a mutually induced voltage due to current i2(t) in Loop 2. If the currents enter the dotted terminals in both coils, what will be the differential equation for Loop 1?
- 1V2(t) = L1(di1(t)/dt) + M(di2(t)/dt)
- 2V1(t) = M(di1(t)/dt) + L2(di2(t)/dt)
- 3V1(t) = L1(di1(t)/dt) - M(di2(t)/dt)
- 4V1(t) = L1(di1(t)/dt) + M(di2(t)/dt)✓
Correct answer
V1(t) = L1(di1(t)/dt) + M(di2(t)/dt)
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