What is the energy of the xt - sin c t- -

Sin c (t/π ) =sinπ (t/π)π (t/π) =sin tt sin c (t/π) =πsin tπ t nbsp; πsin tπ tF.T⟷ ∴ energy of signal, sin c (t/π) =12π∫_ 1^1 (π)^2 d(ω) =12ππ^2 × 2 = π ...

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Standard XII

Physics

Transmission of Wave

What is the e...

Question

What is the energy of the $x (t) = sin c (\frac{t}{π})$ ?

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π

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2 π

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\frac{1}{2}

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Solution

The correct option is B $π$
$sin c (\frac{t}{π}) = \frac{sin π (\frac{t}{π})}{π (\frac{t}{π})} = \frac{sin t}{t}$

$sin c (\frac{t}{π}) = π \frac{sin t}{π t}$

$π \frac{sin t}{π t} F . T ⟷$
$∴$ energy of signal, $sin c (\frac{t}{π}) = \frac{1}{2 π} 1 \int - 1 (π)^{2} d (ω) = \frac{1}{2 π} π^{2} \times 2 = π$

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What is the energy of the x(t)=sinc(tπ) ?

The correct option is B πsinc(tπ)=sinπ(tπ)π(tπ)=sintt sinc(tπ)=πsintπt πsintπtF.T⟷ ∴ energy of signal, sinc(tπ)=12π1∫−1(π)2d(ω)=12ππ2×2=π

What is the energy of the $x (t) = sin c (\frac{t}{π})$ ?