Answer:
1.) 10.61 A
2.) 0.27 A
Explanation:
Given that a sinusoidal A.C has a maximum value of 15A.
1) What are its r.m.s values?
ii) If the time is recorded from the instant the current is zero and is becoming
positive, what is the instantaneous value of the current after 1/300s, given the
frequency is 50 Hz.
Solution.
1.)
The r.m.s current = peak current/root 2
The r.m.s current = 0.7071 × 15
The r.m.s current = 10.61 A
2.)
Given that
Time = 1/300 s
Frequency = 50 Hz
Instantaneous current can be calculated by using the formula
I = I sin wt
Where w = 2πf
Instantaneous current = 15( sin 2πft)
I = 15 × sin ( 2 × 3.143 × 50 × 1/300 )
I = 15 × sin ( 1.047 )
I = 15 × 0.01827
I = 0.27 A
Therefore, the instantaneous current is 0.27A
