PHYSICS

JAMB 2007 - Question 20

Physics 2007 JAMB Past Questions - Question 20: The instantaneous value of the induced e.m.f. as a function of time is E=Eo sin wt Eo where £0 is the peak value of the e.m.f. The instantaneous value of the e.m.f., one quarter of the period, is

Choose the correct answers from the options given.
The instantaneous value of the induced e.m.f. as a function of time is E=Eo sin wt Eo where £0 is the peak value of the e.m.f. The instantaneous value of the e.m.f., one quarter of the period, is
A:
B:
C:
D:
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Correct Answer

A

Explanation

The instantaneous value of the induced electromotive force (e.m.f.) as a function of time is given by the equation:

E(t) = Eo * sin(ωt)

Where:
- E(t) is the e.m.f. at time 't'.
- Eo is the peak value of the e.m.f.
- ω is the angular frequency, which is equal to 2π times the frequency of the oscillation.

If you want to find the instantaneous e.m.f. at one-quarter of the period, you can calculate it by substituting t = T/4 into the equation, where T is the period of the oscillation:

E(T/4) = Eo * sin(ω * (T/4))

However, it's important to note that the value of sin(π/2) is 1, which occurs at t = T/4. Therefore, the instantaneous value of the e.m.f. at one-quarter of the period is:

E(T/4) = Eo * sin(π/2) = Eo * 1 = Eo

So, at one-quarter of the period, the e.m.f. is equal to the peak value Eo.

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