Question

The magnetic flux linked with a coil in Wb is given by the equation Φ = 3t² + 4t + 9. Then the magnitude of induced emf at t = 2 sec will be ______.

विकल्प

• 2 V

• 4 V

• 8 V

• 16 V

Answer 1

The magnetic flux linked with a coil in Wb is given by the equation Φ = 3t² + 4t + 9. Then the magnitude of induced emf at t = 2 sec will be 16 V.

Explanation:

${\displaystyle \left|\text{e}\right|=\frac{\text{d}\varphi }{\text{dt}}=\frac{\text{d}(3{\text{t}}^2+4\text{t}+9)}{\text{dt}}\Rightarrow 6\text{t}+4}$

= (6 × 2) + 4  (t = 2s, given)

e = 16 volt