7.Alternating Current
hard

આકૃતિમાં એક $LR$ પરિપથ દર્શાવેલ છે.$t=0$ સમયે કળ બંધ છે.$t = 0$ અને $t = \frac{L}{R}$ સમય વચ્ચે બેટરીમાથી કેટલો વિદ્યુતભાર પસાર થશે?

A

$\frac{{EL}}{{7.3{R^2}}}$

B

$\frac{{EL}}{{2.7{R^2}}}$

C

$\frac{{7.3EL}}{{{R^2}}}$

D

$\frac{{2.7EL}}{{{R^2}}}$

(JEE MAIN-2019)

Solution

$q=\int 1 d t$

$\mathrm{q}=\int_{0}^{\mathrm{L} R} \frac{\mathrm{E}}{\mathrm{R}}\left[1-\mathrm{e}^{\frac{-\mathrm{Rt}}{\mathrm{L}}}\right] \mathrm{dt}$

$\mathrm{q}=\frac{\mathrm{EL}}{\mathrm{R}^{2}} \frac{1}{\mathrm{e}} \quad ; \quad \mathrm{q}=\frac{\mathrm{EL}}{2.7 \mathrm{R}^{2}}$

Standard 12
Physics

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