We have already discussed capacitors - devices that store energy using electric force. Like a capacitor, an inductor is also quite a commonly used element in electric circuits. It saves magnetic energy. As we know that when current flows through a conductor a magnetic field is set-up in surrounding of it, and hence it is related with magnetic flux. If magnetic flux related with a coil is f and current flowing through it is I, then its inductance is shown by the expression L=Φ/l . The quantity 'L' is called self-inductance of the coil. It does not rely on the current, but it relays on the permeability of the core and the dimensions of the coil.
S.I. unit of inductance is Henry.
Consider the circuit, in which a solenoid is connected across a cell through a resistor. When the circuit is open, the current in the circuit is zero. When the circuit is closed, a current flow in it. Since current in the circuit grows from zero to a certain number, magnetic field related with it modification that causes induction of an emf across the solenoid.
|
![2143_Inductance.png](https://www.expertsmind.com/../CMSImages/2143_Inductance.png)
|
Induction of an emf due to variation in current flowing through the coil itself is known as self induction.
Since ![1139_Inductance1.png](https://www.expertsmind.com/../CMSImages/1139_Inductance1.png)
Inductance of an ideal solenoid: Let a current I flow through a solenoid. The magnetic field because of the current flowing within the solenoid is, B = m0nI, where n is the number of turns per unit length.
If area of cross part of the solenoid is A then flux related with length l is equal to
Φ = nlBA. (Assuming that the solenoid is ideal and long)
where l is the length of the solenoid.
Now ![916_Inductance2.png](https://www.expertsmind.com/../CMSImages/916_Inductance2.png)
Self Inductance of a Coil: Consider a coil of N turns and area of cross-section A carrying a current i. The length of the coil is ÖA)l.
![16_Inductance3.png](https://www.expertsmind.com/../CMSImages/16_Inductance3.png)
Comparing with f = L i, we get:![849_Inductance5.png](https://www.expertsmind.com/../CMSImages/849_Inductance5.png)
|
![1610_Inductance4.png](https://www.expertsmind.com/../CMSImages/1610_Inductance4.png)
|
Inductance of Common Elements
![931_Inductance6.png](https://www.expertsmind.com/../CMSImages/931_Inductance6.png)
Email based Physics assignment help - homework help at Expertsmind
Are you searching physics expert for help with Inductance questions? Inductance topic is not easier to learn without external help? We at www.expertsmind.com offer finest service of Physics assignment help and physics homework help. Live tutors are available for 24x7 hours helping students in their Inductance related problems. We provide step by step Inductance question's answers with 100% plagiarism free content. We prepare quality content and notes for Inductance topic under physics theory and study material. These are avail for subscribed users and they can get advantages anytime.
Why Expertsmind for assignment help
- Higher degree holder and experienced experts network
- Punctuality and responsibility of work
- Quality solution with 100% plagiarism free answers
- Time on Delivery
- Privacy of information and details
- Excellence in solving physics queries in excels and word format.
- Best tutoring assistance 24x7 hours