Self-Inductance and Inductors
10.2 Self-Inductance and Inductors
Learning Objectives
By the end of this section, you will be able to:
- Correlate the rate of change of current to the induced emf created by that current in the same circuit
- Derive the self-inductance for a cylindrical solenoid
- Derive the self-inductance for a rectangular toroid
Mutual and Self Inductance
Practice!
| Practice 10.2.1 |
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A small, circular ring of wire (shown in blue) is inside a larger loop of wire that carries a current I as shown. The small ring and the larger loop both lie in the same plane. If I increases, the current that flows in the small ring… |
| Practice 10.2.2 |
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Two coils are placed near each other as shown in the figure. The coil on the left is connected to a battery and a switch, and the coil on the right is connected to a resistor. What is the direction of the current in the resistor at an instant immediately after the switch is thrown closed? |
| Practice 10.2.3 |
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| Two coils are placed near each other as shown in the figure. The coil on the left is connected to a battery and a switch, and the coil on the right is connected to a resistor. What is the direction of the current in the resistor after the switch has been closed for several seconds? |
| Practice 10.2.4 |
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| Two coils are placed near each other as shown in the figure. The coil on the left is connected to a battery and a switch, and the coil on the right is connected to a resistor. What is the direction of the current in the resistor at an instant after the switch has then been thrown open? |
| Practice 10.2.5 |
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A current i flows through an inductor L in the direction from point b toward point a. There is zero resistance in the wires of the inductor. If the current is decreasing, … |
Discuss!
Calculate the self-induced emf in a solenoid (300 turns, length of 25 cm, cross-sectional area of 4.0 cm2) if the current it carries decreases at the rate of 50 A/s.
What is the induced emf at t = 12 s?
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