Enter the magnetic flux and the time change into the calculator to determine the induced voltage. This calculator helps in understanding how a change in magnetic flux can induce an electromotive force (EMF) in a circuit.
Induced Voltage Formula
The following formula is used to calculate the induced voltage:
V = -ΔΦ / Δt
Variables:
- V is the induced voltage (volts)
- ΔΦ is the change in magnetic flux (webers)
- Δt is the change in time (seconds)
To calculate the induced voltage, divide the change in magnetic flux by the change in time and apply a negative sign to indicate the direction of the induced EMF as per Lenz’s Law.
What is Induced Voltage?
Induced voltage is the voltage generated in a circuit due to a change in magnetic flux through the circuit. This phenomenon is described by Faraday’s Law of Electromagnetic Induction, which states that a time-varying magnetic field will induce an electromotive force (EMF) in a closed circuit. The negative sign in the formula represents Lenz’s Law, which indicates that the induced EMF will always work to oppose the change in magnetic flux that produced it.
How to Calculate Induced Voltage?
The following steps outline how to calculate the induced voltage:
- First, determine the change in magnetic flux (ΔΦ) in webers.
- Next, determine the change in time (Δt) in seconds.
- Use the formula V = -ΔΦ / Δt to calculate the induced voltage (V).
- Finally, calculate the induced voltage and use the calculator above to verify your result.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Change in magnetic flux (ΔΦ) = 0.05 webers
Change in time (Δt) = 2 seconds
