If the expression for voltage is given as V-xsin100- t-4 and current at time t- Find x

From the above two figures we can write: V=400sin (ω t+θ_1)=400sin[100π t+π/4] i=20sin(ω t+θ_2)=20sin[100π t+π/6] ...

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Byju's Answer

Standard XII

Mathematics

Domain and Range of Trigonometric Ratios

If the expres...

Question

If the expression for voltage is given as $V = x sin (100 π t + π / 4)$ and current at time $t$ . Find $x$

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Solution

From the above two figures we can write:
$V = 400 sin (ω t + θ_{1}) = 400 sin [100 π t + \frac{π}{4}]$
$i = 20 sin (ω t + θ_{2}) = 20 sin [100 π t + \frac{π}{6}]$

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If the expression for voltage is given as V=xsin(100πt+π/4) and current at time t. Find x

From the above two figures we can write:V=400sin(ωt+θ1)=400sin[100πt+π4]i=20sin(ωt+θ2)=20sin[100πt+π6]

If the expression for voltage is given as $V = x sin (100 π t + π / 4)$ and current at time $t$ . Find $x$

From the above two figures we can write:
$V = 400 sin (ω t + θ_{1}) = 400 sin [100 π t + \frac{π}{4}]$
$i = 20 sin (ω t + θ_{2}) = 20 sin [100 π t + \frac{π}{6}]$