7.Alternating Current
medium

ફક્ત ઈન્ડકટર ધરાવતા પરિપથમાં પ્રવાહનું સમીકરણ $5 \sin \left(49 \pi t -30^{\circ}\right)$ છે. જે પ્રેરકત્વ $30 \,mH$ હોય, તો ઈન્ડકટરને સમાંતર વોલ્ટેજનું સમીકરણ .............. થશે. $\left\{\pi=\frac{22}{7}\right\}$ . 

A

$1.47 \sin \left(49 \pi t -30^{\circ}\right)$

B

$1.47 \sin \left(49 \pi t+60^{\circ}\right)$

C

$23.1 \sin \left(49 \pi t -30^{\circ}\right)$

D

$23.1 \sin \left(49 \pi t+60^{\circ}\right)$

(JEE MAIN-2022)

Solution

$v _{0}= i _{0} x _{ L }$

$= i _{0}( wL )$

$=(5)(49 \pi)\left(30 \times 10^{-3}\right)$

$=23.1$

Voltage will lead current by $90^{\circ}$.

$\therefore V =23.1 \sin \left(49 \pi t +60^{\circ}\right)$

Standard 12
Physics

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