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### Inductance

• Mutual inductance: suppose we have to coils near each other and we pass a time-dependent current through one of them. A time dependent magnetic field results, and hence, a time varying magnetic flux is set up in the second coil, and by Faraday’s law, an emf is induced in the second coil. If the current in the first coil is I, then the induced emf in the second coil is equal to –M*dI/dt, where M is a constant known as the mutual inductance of the two coils.
• Self inductance: If a time varying current is set up in a coil, there will be a time varying magnetic field in space, and hence a time varying magnetic flux in the coil. By Faraday’s law, an emf is induced in the coil (called a back emf); it is given by –L*dI/dt. the constant L is called the self inductance of the coil.
• Examples that show how to calculate the mutual inductance of two coils, as well as the self inductance of a solenoid, are presented in the lecture.

### Inductance

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Mutual Inductance 0:10
• Two Coils
• Current is Time Dependent
• Flux Proportional
• Magnetic Flux in Coil 2
• Induced EMF
• Flux Through 2nd Coil Proportional to Current in First Coil
• Mutual Inductance
• Suppose Current is in 2nd Coil
• Example 12:15
• Two Coils M=0.001
• Φ= Mi1
• Induced EMF
• Example 18:30
• Solenoid with N turns
• B inside Solenoid
• Φ Through the Ring
• Self Inductance 27:50
• Single Coil with Current
• I with Time Dependent
• Φ Proportional to B , Proportional to I
• Induced EMF =-di/dt
• Example 1: Circular Wire
• Example 2: Two Coils
• Example 3: Coil