The flux linked with a circuit is given by φ=t3+3t-7. The graph between time (x - axis) and induced emf (y - axis) will be :

Question

The flux linked with a circuit is given by φ=t3+3t-7. The graph between time (x - axis) and induced emf (y - axis) will be : (A) straight line through the origin (B) straight line with positive intercept (C) straight line with negative intercept (D) parabola not through the origin

Tardigrade Admin · Accepted Answer

φ=t3+3t-7 e=-(d φ/d t)=-(3 t2 + 3) e v/s graph: y=-3x2-3, this is parabola, not through origin.

Q. The flux linked with a circuit is given by $ϕ = t^{3} + 3 t - 7.$ The graph between time $(x - a x i s)$ and induced emf $(y - a x i s)$ will be :

straight line through the origin

straight line with positive intercept

straight line with negative intercept

parabola not through the origin

$ϕ = t^{3} + 3 t - 7$
$e = - \frac{d ϕ}{d t} = - (3 t^{2} + 3)$
$e$ v/s graph : $y = - 3 x^{2} - 3,$ this is parabola, not through origin.

Q. The flux linked with a circuit is given by ϕ=t3+3t−7. The graph between time (x−axis) and induced emf (y−axis) will be :