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What is the instantaneous value of a 10 ampere peak sine wave at 0, 30, 45, 60, and 180 degrees?

Sagot :

The instantaneous value of a sinusoidal waveform is the value of the alternating function at any particular instant.

The instantaneous value of a 10 ampere peak sine wave at 0, 30, 45, 60, and 180 degree are 0 A, 5 A, 7.07 A, 8.66 A, 0 A respectively.

From the question,

Instantaneous value is given as 10 A

The instantaneous value of a sine waveform is determined by the relation,

Instantaneous value = Peak value x sin θ

Substituting values in the above equation;

For 0°⇒

instantaneous value = 10 x sin 0°

                                = 10 x 0

                                = 0 A

For 30°⇒

instantaneous value = 10 x sin 30°

                                = 10 x (1/2)

                                = 5 A

For 45°⇒

instantaneous value = 10 x sin 45°

                                = 10 x (1/√2)

                                = 10 x 0.707

                                = 7.07 A

For 60° ⇒

instantaneous value = 10 x sin 60°

                                 = 10 x (√3 / 2 )

                                 = 10 x 0.866

                                 = 8.66 A

For 180° ⇒

instantaneous value = 10 x sin 180°

                                = 10 x 0

                                = 0 A

Hence the instantaneous value of a 10 ampere peak sine wave at 0, 30, 45, 60, and 180 degree are 0 A, 5 A, 7.07 A, 8.66 A, 0 A respectively.

To learn more about instantaneous value of current: https://brainly.com/question/28160174

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