Two coils, held in fixed positions, have a mutual inductance of m = 0.0034 h. the current in the first coil is i(t) = i0sin(ωt), where i0 = 5.4 a, ω = 143 rad/s. randomized variables m = 0.0034 h i0 = 5.4 a ω = 143 rad/s show answer no attempt 25% part (a) express the magnitude of the induced emf in the second coil, ε2, in terms of m and i.

ε₂ =2.63 V

Explanation:

given,

M = 0.0034 H

I (t) = I₀ sin (ωt)

I (t) = 5.4 sin (143 t)

magnitude of the induced emf in the second coil

ε₂ =

ε₂ =

for maximum emf

cos (143 t) = 1

ε₂ =

ε₂ =2.63 V

there are no correct statementd on the list of choices you provided.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.