Question

If △Φ and △t are the change in magnetic flux and time respectively, then the induced EMF is

• A. \(\sqrt {\frac {△Φ}{△t}}\)
• B. \(\frac {△Φ}{△t}\)
• C. \(△Φ.△t\)
• D. \(\frac {△t}{△Φ}\)

Answer 1

The Correct Option is B

According to Faraday's Law of electromagnetic induction, the induced electromotive force (EMF) in any closed circuit is equal to the negative of the time rate of change of the magnetic flux through the circuit. 

Mathematically, this is expressed as: $$\text{EMF} = - \frac{\Delta \Phi}{\Delta t}$$ Where: * $\Delta \Phi$ is the change in magnetic flux * $\Delta t$ is the change in time 

Therefore, the induced EMF is $\frac{\Delta \Phi}{\Delta t}$ (ignoring the negative sign, as we're only asked for the magnitude).