The instantaneous current in an ac circuit is $\text{i}=0.5\sin314\text{t},$ what is (i) rms value and (ii) frequency of the current.
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Given $\text{I}=0.5\sin314\text{t} \ ...(\text{i})$
Standard equation of current is $\text{I = I}_0\sin\omega\text{t} \ ...(\text{ii})$
Comparing (i) and (ii), we get $\text{I}_{0}=0.5\text{A},\omega=314$
Therefore,
Standard equation of current is $\text{I = I}_0\sin\omega\text{t} \ ...(\text{ii})$
Comparing (i) and (ii), we get $\text{I}_{0}=0.5\text{A},\omega=314$
Therefore,
- rms value $\text{I}_{\text{rms}}=\frac{\text{I}_0}{\sqrt{2}}=\frac{0.5}{\sqrt{2}}\text{A}=0.35\text{A}$
- Frequency $\text{v}=\frac{\omega}{2\pi}=\frac{314}{2\times3.14}=50\text{Hz}$
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