An alternating current from a source is given by i=10sin314t. What is

1.	An alternating current from a source is given by i=10sin314t. What is the effective value of current and frequency of source?
Answer» Given: i = 10sin314t comparing with, i = i_osinωt i_o = 10A ω = 314 \(\Rightarrow\) \(2\pi v\) = 314 \(\Rightarrow\) v = \(\frac{314}{2\pi}\) = \(\frac{314}{2\times3.14}\) = 50Hz i_eff = i_rms= \(\frac{i_o}{\sqrt2}\) = 0.707 x 10 = 7.07 A 7.707A, 50Hz.

An alternating current from a source is given by i=10sin314t. What is the effective value of current and frequency of source?

Answer»

Given: i = 10sin314t

comparing with, i = i_osinωt

i_o = 10A

ω = 314 \(\Rightarrow\) \(2\pi v\) = 314 \(\Rightarrow\)

v = \(\frac{314}{2\pi}\)

= \(\frac{314}{2\times3.14}\)

= 50Hz

i_eff = i_rms= \(\frac{i_o}{\sqrt2}\) = 0.707 x 10

= 7.07 A

7.707A, 50Hz.

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An alternating current from a source is given by i=10sin314t. What is the effective value of current and frequency of source?

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