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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
Self-induced EMF Calculator
(4π)
Self-induced EMF Calculator Results (detailed calculations and formula below)
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
ε'1 = -μ0 × N2 × A/l × ∆I/∆t
ε'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'2 = -N × (B - B0) × A/Δt
ε'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 (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.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Self Induced Emf. This image shows the properties and self induced emf formula for the Self Induced Emf. The Self-induced EMF Calculator will calculate the self-induced emf in the coil in terms of inductance and the rate in current change and in terms of the number of turns and the rate of magnetic flux change

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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

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