Key is closed at time t-0- i-i1 at t-0 and i-i2 at time t- i1i2 equals

The correct option is D 12 [ According to queation........; At t=0 ( inductor ...

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Byju's Answer

Standard XII

Physics

EMF and EMF Devices

Key is closed...

Question

Key is closed at time $t = 0$ .
$i = i_{1}$ at $t = 0$ and $i = i_{2}$ at time $t = \infty$ .
$\frac{i_{1}}{i_{2}}$ equals

3

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\frac{1}{3}

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1

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\frac{1}{2}

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Solution

The correct option is D $\frac{1}{2}$
$\begin{matrix} A c c o r d i n g t o q u e a t i o n . . . . . . . . A t t = 0 (i n d u c t o r w i l l a c t a s o p e n c i r c u i t) a t t = \infty (i t w i l l a c t a s s h o r t c i r c u i t) a n d b y a p p l y i n g k i r c h o f^{'} s l a w i n d i f f e r e n t l o o p, s o, A t t = 0 i_{1} = \frac{V}{2 R} a n d a t t = \infty i_{2} = \frac{V}{R} s o t h e r a t i o w i l l b e : \frac{i_{1}}{i_{2}} = \frac{\frac{V}{2 R}}{\frac{V}{R}} = \frac{V}{2 R} \times \frac{R}{V} = \frac{1}{2} o r, 1 : 2 s o t h a t t h e c o r r e c t o p t i o n i s D . \end{matrix}$

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Key is closed at time t=0.i=i1 at t=0 and i=i2 at time t=∞.i1i2 equals

The correct option is D 12Accordingtoqueation........Att=0(inductorwillactasopencircuit)att=∞(itwillactasshortcircuit)andbyapplyingkirchof′slawindifferentloop,so,Att=0i1=V2Randatt=∞i2=VRsotheratiowillbe:i1i2=V2RVR=V2R×RV=12or,1:2sothatthecorrectoptionisD.

Key is closed at time $t = 0$ .
$i = i_{1}$ at $t = 0$ and $i = i_{2}$ at time $t = \infty$ .
$\frac{i_{1}}{i_{2}}$ equals