Aloop of wire of area 71 cm^2 is placed with its plane parallel to a 16 mt magnetic field. the loop is then rotated so that its plane is perpendicular to the field, in a time of 0.7 s. what is the average emf generated in the coil while the loop is rotating, in units of volts?

Approximately 1.62 × 10⁻⁴ V.

Explanation:

The average EMF in the coil is equal to

,

Why does this formula work?

By Faraday's Law of Induction, the EMF induced in a coil (one loop) is equal to the rate of change in the magnetic flux through the coil.

.

Finding the average EMF in the coil is similar to finding the average velocity.

.

However, by the Fundamental Theorem of Calculus, integration reverts the action of differentiation. That is:

.

Hence the equation

.

Note that information about the constant term in the original function will be lost. However, since this integral is a definite one, the constant term in won't matter.

Apply this formula to this question. Note that , the magnetic flux through the coil, can be calculated with the equation

.

For this question,

Initial flux: .

Final flux: .

Average EMF, which is the same as the average rate of change in flux:

.

answer; the correct answer is technician a; ///100%good luck

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.