An ac power supply provides a time-varying voltage to a circuit of the form V(t)

Question

An ac power supply provides a time-varying voltage to a circuit of the form V(t) = 35 sin(400t), where all quantities in the equation have MKS units.

What is the value of the linear frequency f of the voltage signal?

A)

400 Hz

B)

35 Hz

C)

127 Hz

D)

2500 Hz

E) 64 Hz

What is the value of the period of the voltage signal?

A)

16 ms

B)

200 ms

C)

64 ms

D)

35 s

E)

400 ms

A)

400 Hz

B)

35 Hz

C)

127 Hz

D)

2500 Hz

E) 64 Hz

What is the value of the period of the voltage signal?

A)

16 ms

B)

200 ms

C)

64 ms

D)

35 s

E)

400 ms

Explanation / Answer

Here ,

angular speed , w = 400 rad/s

for the linear frequency

linear frequency = w/(2pi)

linear frequency = 64 Hz

the linear frequency is 64 Hz

------------------------------------

period of the voltage = 1/linear frequency

period of the voltage = 1/64

period of the voltage = 0.0156s

period of the voltage = 16 ms

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