Question

A sinusoidal alternating current of frequency 60HZ has a maximum value of 15A.
1.find the value of current after 1/200 second.
2.find the time taken to reach 10A for the first time.
3.find it's average value.

Answer 1

Answer:

the average value.=0 gx 15a =10@

Answer 2

Explanation:

Given A sinusoidal alternating current of frequency 60HZ has a maximum value of 15 A.

1.find the value of current after 1/200 second.

2.find the time taken to reach 10A for the first time.

3.find it's average value.

• Given maximum value of current = 15 A
• Frequency of alternating current = 60 hz
• Now I max sin 2π ft
•   = 15 sin 2 π x 60 t
•  = 15 sin 120 π t
•   Substituting t = 1/200 second we get
• I = 15 sin 120 π t
•     = 15 sin 120 π 1/200
•     = 15 (sin 0.6 π radians)
•     = 15 x 0.9510
• I = 14.265  A
• Now the instant current is 0 and is positive. So for the first time t seconds the instantaneous value of current is 10 A
• So 10 = 15 sin 120 π t
• Or t = 1/120 π sin^-1 10 / 15
• Or 1/120 π sin^-1 0.666
• 0.00265 x 41.75
• t = 0.00193 secs
• Also Average value = I avg = 2/π x I max
•                                              = 2/π x 15
•           = 9.55 A

Reference link will be

https://brainly.in/question/7875739