Consider an electrical circuit containing a two way switch $^{\prime}{S}^{\prime}$. Initially ${S}$ is open and then ${T}_{1}$ is connected to ${T}_{2} .$ As the current in ${R}=6 \,\Omega$ attains a maximum value of steady state level, ${T}_{1}$ is disconnected from ${T}_{2}$ and immediately connected to ${T}_{3} .$ Potential drop across ${r}=3\, \Omega$ resistor immediately after $T_{1}$ is connected to $T_{3}$ is $....\,V.$ (Round off to the Nearest Integer)
A$2$
B$3$
C$5$
D$7$
JEE MAIN 2021, Diffcult
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B$3$
b When $T _{1}$ and $T _{2}$ are connected, then the steady state current in the inductor $I=\frac{6}{6}=1 A$
When $T _{1}$ and $T _{3}$ are connected then current through inductor remains same. So potential difference across $3 \Omega$
$V = Ir =1 \times 3=3 \text { volt }$
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The resistance of $10\, metre$ long potentiometer wire is $1\,ohm/meter$. A cell of $e.m.f.$ $2.2\, volts$ and a high resistance box are connected in series to this wire. The value of resistance taken from resistance box for getting potential gradient of $2.2\, millivolt/metre$ will be ............... $\Omega $
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