An ac generator operates at a rotational frequency of 60 Hz and produces a maximum emf of 100 V. Assume that its output at is zero. What is the instantaneous emf (a) at ? (b) at ? (c) at t? (d) How much time elapses between successive 0-volt outputs? (e) What maximum emf would this generator produce if it were operated, instead, at 120 Hz?

(a). The instantaneous emf at is 100 V.

(b). The instantaneous emf at is 0 V.

(c). The instantaneous emf at is .

(d).  The time elapses is 0.00416 sec.

(e). The maximum voltage is 100 V.

Explanation:

Given that,

Frequency = 60 Hz

Emf = 100 V

We need to calculate the angular frequency

Using formula of angular frequency

Put the value into the formula

(a). At

We need to calculate the instantaneous emf

Using formula of instantaneous emf

Put the value into the formula

(b). At

We need to calculate the instantaneous emf

Using formula of instantaneous emf

Put the value into the formula

(c). At

We need to calculate the instantaneous emf

Using formula of instantaneous emf

Put the value into the formula

(d). The maximum instantaneous voltage occurred at is 100 V and the maximum instantaneous voltage occurred at is 0 V .

We need to calculate the time elapses

Using formula of time

Put the value into the formula

(e). The maximum voltage does not depend upon the frequency.

So, The maximum voltage is 100 V.

Hence, (a). The instantaneous emf at is 100 V.

(b). The instantaneous emf at is 0 V.

(c). The instantaneous emf at is .

(d).  The time elapses is 0.00416 sec.

(e). The maximum voltage is 100 V.

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