An alternating voltage is given by v = 250 sin 500t. Find (i) freque
ncy and average value. (ii) Value of voltage after 2 msec. and (iii)
The time taken by voltage to reach 150 volt.
Answers
Answer:
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Explanation:
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Given : An alternating voltage is given by v = 250 sin 500t.
To Find : (i) freque ncy and average value.
(ii) Value of voltage after 2 msec.
(iii) The time taken by voltage to reach 150 volt.
Solution:
v = 250 sin(500t)
v = Vm Sin(ωt)
Vm = 250
ω = 500
ω = 2πf
2πf = 500
=> f = 500/2π
=> Frequency = 500/2π = 79.58 Hz
Average Voltage = (2/π) Vm
= (2/π) 250
= 159.15 V
Value of voltage after 2 msec.
v = 250 sin(500*2/1000)
v = 250sin(1)
1 rad = 180/π deg = 57.296
v = 250sin(57.296°)
v =210.36 V
150 = 250 sin(500t)
=> sin(500t) = 0.6
=>500t = 0.6435
=> t = 1.287 ms
time taken by voltage to reach 150 volt. = 1.287 ms
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