Question

In periodic motion of a coil in an uniform magnetic field if induced emf at any instant t is given by $e = 10\sin 314t$ then induced emf at $t = \frac{1}{300}\sec$ will be

• A. 5 V
• B. $5\sqrt{2}V$
• C. $5\sqrt{3}volt$
• D. None of these

Answer 1

Answer: (C)

$5\sqrt{3}volt$

Answer 2

$e = 10\sin 314t = 10\sin(3.14 \times 100)t = 10\sin 100\pi t$Putting $t = \frac{1}{300}sec;e = 10\sin\frac{\pi}{3} = 10\sin 60^{o} = \frac{10\sqrt{3}}{2} = 5\sqrt{3}V.$