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The Self-induced EMF Calculator will calculate the:

- Self-induced emf in the coil in terms of inductance and the rate in current change
- Self induced emf in the coil in terms of the number of turns and the rate of magnetic flux change

(4π) | |

The self-induced emf in the coil in terms of inductance and the rate in current change is V [Volt] |

The self induced emf in the coil in terms of number of turns and the rate of magnetic flux change is V [Volt] |

Self-induced emf in the coil due to the change in current in the circuit |
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ε = -^{'}_{1}μ_{0} × N^{2} × A/l × ∆I/∆tε = -^{'}_{1} × ^{2} × /l × - /ε = -^{'}_{1} × × / × /ε = -^{'}_{1}/ × ε = -^{'}_{1} × ε = ^{'}_{1} |

Self-induced emf in the coil due to the change in magnetic flux calculation |

ε = -N × ^{'}_{2}(B - B_{0}) × A/Δtε = -^{'}_{2} × ( - ) × /ε = -^{'}_{2} × × /ε = -^{'}_{2} × /ε = -^{'}_{2} × ε = ^{'}_{2} |

Self Induced Emf Calculator Input Values |

Number of turns in the solenoid (N) |

Initial current flowing through the circuit (I_{0}) A [Amp] |

Final current flowing through the circuit (I) A [Amp] |

Time elapsed during the change (Δt) s [second] |

Area of solenoid coil (A) m^{2} [square metre] |

Initial magnetic field induced in the solenoid (B_{0}) T [Tesla] |

Final magnetic field induced in the solenoid (B) T [Tesla] |

Magnetic permeability of free space (vacuum) (μ_{0}) N/A^{2} [Newton per square Amp] |

Length of inductor (solenoid) (l) m [metre] |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each self induced emf calculation, the Self Induced Emf Calculator will automatically calculate the results and update the Physics formula elements with each element of the self induced emf calculation. You can then email or print this self induced emf calculation as required for later use.

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ε^{'}_{1} = -*μ*_{0} × N^{2} × A*/**l* × *∆I**/**∆t*

This formula derives from

ε^{'}_{1} = -L × *∆I**/**∆t*

where L is the (self) inductance in the solenoid.

ε^{'}_{2} = -N × *(B - B*_{0}) × A*/**Δt*

This formula derives from

ε^{'}_{2} = -N × *∆Φ**/**Δt*

The following Physics tutorials are provided within the Magnetism section of our Free Physics Tutorials. Each Magnetism tutorial includes detailed Magnetism formula and example of how to calculate and resolve specific Magnetism questions and problems. At the end of each Magnetism tutorial you will find Magnetism revision questions with a hidden answer that reveals when clicked. This allows you to learn about Magnetism and test your knowledge of Physics by answering the test questions on Magnetism.

- 16.1 - Introduction to Magnetism
- 16.2 - Magnetic Field Produced by Electric Currents
- 16.3 - Magnetic Force on a Current Carrying Wire. Ampere's Force
- 16.4 - Magnetic Force on a Wire Moving Inside a Magnetic Field. Lorentz Force
- 16.5 - Magnetic Dipole Moment
- 16.6 - Ampere's Law
- 16.7 - Faraday's Law of Induction
- 16.8 - Lentz Law
- 16.9 - Inductance and Self-Induction
- 16.10 - Induction and Energy Transfers
- 16.11 - Induced Electric Fields
- 16.12 - RL Circuits
- 16.13 - Energy Stored in a Magnetic Field. Energy Density of a Magnetic Field. Mutual Induction
- 16.14 - Alternating Current. LC Circuits
- 16.15 - Introduction to RLC Circuits
- 16.16 - The Series RLC Circuit
- 16.17 - Power in an Alternating Circuit. Transformers
- 16.18 - Maxwell Equations

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