# Self-induced EMF Calculator

The Self-induced EMF Calculator will calculate the:

1. Self-induced emf in the coil in terms of inductance and the rate in current change
2. Self induced emf in the coil in terms of the number of turns and the rate of magnetic flux change
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)012345101520 Number of turns in the solenoid (N) Initial current flowing through the circuit (I0) A Final current flowing through the circuit (I) A Time elapsed during the change (Δt) s Area of solenoid coil (A) m2 Initial magnetic field induced in the solenoid (B0) T Final magnetic field induced in the solenoid (B) T Magnetic permeability of free space (vacuum) (μ0) N/A2 (4π) × 10 power of Length of inductor (solenoid) (l) m
Self-induced emf in the coil due to the change in current in the circuit 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] ε'1 = -μ0 × N2 × A/l × ∆I/∆tε'1 = - × 2 × /l × - /ε'1 = - × × / × /ε'1 = -/ × ε'1 = - × ε'1 = ε'2 = -N × (B - B0) × A/Δtε'2 = - × ( - ) × /ε'2 = - × × /ε'2 = - × /ε'2 = - × ε'2 = Number of turns in the solenoid (N) Initial current flowing through the circuit (I0) A [Amp] Final current flowing through the circuit (I) A [Amp] Time elapsed during the change (Δt) s [second] Area of solenoid coil (A) m2 [square metre] Initial magnetic field induced in the solenoid (B0) T [Tesla] Final magnetic field induced in the solenoid (B) T [Tesla] Magnetic permeability of free space (vacuum) (μ0) N/A2 [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.

We hope you found the Self Induced Emf Calculator useful with your Physics revision, if you did, we kindly request that you rate this Physics calculator and, if you have time, share to your favourite social network. This allows us to allocate future resource and keep these Physics calculators and educational material free for all to use across the globe. We believe everyone should have free access to Physics educational material, by sharing you help us reach all Physics students and those interested in Physics across the globe. ## Related Physics Sections with Tutorials

Section 14: Electrostatics

Section 15: Electrodynamics

Section 16: Magnetism

Section 17: Electronics

Section 22: Cosmology

Trigonometry

## Self-induced emf in the coil due to the change in current in the circuit Formula and Calculation

ε'1 = -μ0 × N2 × A/l × ∆I/∆t

This formula derives from

ε'1 = -L × ∆I/∆t

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

## Self-induced emf in the coil due to the change in magnetic flux Formula and Calculation

ε'2 = -N × (B - B0) × A/Δt

This formula derives from

ε'2 = -N × ∆Φ/Δt

## Magnetism Physics Tutorials associated with the Self Induced Emf Calculator

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.

## Physics Calculators

You may also find the following Physics calculators useful.