Question

The expression for the induced emf generated in a coil as a result of change in magnetic flux linked with it

• A. $e=-A\frac{dB}{dt}$
• B. $e=-B\frac{dA}{dt}$
• C. $e=\frac{d}{dt}(\overrightarrow{A}.\overrightarrow{B})$
• D. $e=\frac{d}{dt}(\overrightarrow{A}\times \overrightarrow{B})$

Answer 1

Answer: (C)

$e=\frac{d}{dt}(\overrightarrow{A}.\overrightarrow{B})$

$emf=\frac{dflux}{dt}$
$=\frac{d(\overrightarrow{A}.\overrightarrow{B})}{dt}$