Question

The equation of an ac current is given by i = 80 sin628t. Calculate the frequency.

Answer 1

Answer:

FREQUENCY ( F ) = 100 HERTZ

Explanation:

★ ALTERNATING CURRENT

★ GIVEN ;

» WAVE EQUATION

i = 80 sin 628t

[ proportional to ] x = A sin Π t

★ Π ( Angular Frequency ) ( Omega ) =

628 ( from Equation above )

★ Frequency = ???

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★ Π ( Omega ) = 2 × π × FREQUENCY ★

» Frequency = Omega / 2 × π

» Frequency = 628 / 2 × 3.14 = 628 / 6.28 = 100

★ FREQUENCY OF A-C CIRCUIT = 100 HERTZ

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ANSWER :- FREQUENCY OF A-C CIRCUIT IS ;

FREQUENCY ( F ) = 100 HERTZ