The voltage of A-C- source varies with time according equation- V - 120 sin100 -t cos 100 - t- Then frequency of source is -

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RLC Circuit

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Question

The voltage of A.C. source varies with time according equation. V $=$ 120 sin100 $π$ t cos 100 $π$ t. Then frequency of source is :

50 Hz

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100 Hz

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150 Hz

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200 Hz

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Solution

The correct option is B 100 Hz
Given, $V = 120 s i n 100 π t c o s 100 π t$

$= 60 s i n 200 π t$

$= V_{m} s i n ω t$

$\Rightarrow ω = 200 π$

We know, $2 π f = 200 π$

$f = 100 H z$

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The voltage of A.C. source varies with time according equation. V = 120 sin100πt cos 100 π t. Then frequency of source is :

The correct option is B 100 HzGiven, V=120sin100πt cos100πt=60sin200πt=Vmsinωt⇒ω=200πWe know, 2πf=200πf=100Hz

The voltage of A.C. source varies with time according equation. V $=$ 120 sin100 $π$ t cos 100 $π$ t. Then frequency of source is :

The correct option is B 100 Hz
Given, $V = 120 s i n 100 π t c o s 100 π t$

$= 60 s i n 200 π t$

$= V_{m} s i n ω t$

$\Rightarrow ω = 200 π$

We know, $2 π f = 200 π$

$f = 100 H z$