$(a)$ The peak voltage of an $ac$ supply is $300\; V$. What is the $rms$ voltage?

$(b)$ The $rms$ value of current in an ac circuit is $10\; A$. What is the peak current?

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$(a)$ Peak voltage of the ac supply, $V _{0}=300 \,V$ We know

$V_{m x}=\frac{V_{0}}{\sqrt{2}}=\frac{300}{\sqrt{2}}=212.1\, V$

$(b)$ The $rms$ value of current is given as $ I=10\,A$ Using above identity for current peak current is given as:

$I _{0}=1.414 \times I _{ rms }$

$I _{0}=1.414 \times 10=14.14 \,A$

Similar Questions

The current flowing through an ac circuit is given by

$I=5 \sin (120 \pi t) A$

How long will the current take to reach the peak value starting from zero?

  • [JEE MAIN 2022]

In general in an alternating current circuit

the reason why do we preferred an $a.c.$ voltage instead of $d.c.$ voltage. 

The maximum value of $a.c.$ voltage in a circuit is $707V$. Its rms value is.....$V$

An alternating voltage is given by : $e = e_1\, \sin \omega t + e_2\, \cos \omega t$. Then  the root mean square value of voltage is given by :-