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(B) We apply Kirchhoff's Voltage Law $(KVL)$ while moving from point $A$ to point $B$ in the direction of the current $I$.The potential at $A$ is $V_A

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$15$

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(B) We apply Kirchhoff's Voltage Law $(KVL)$ while moving from point $A$ to point $B$ in the direction of the current $I$.The potential at $A$ is $V_A$. As we pass through the resistor $R = 1 \ \Omega$,the potential drops by $I 	imes R$.Then,we pass through the battery of $15 \ V$ from negative to positive terminal,so the potential increases by $15 \ V$.Finally,we pass through the inductor $L = 5 \ mH = 5 	imes 10^{-3} \ H$. The induced $EMF$ across the inductor is given by $\varepsilon = -L \frac{dI}{dt}$.Since the current is decreasing,$\frac{dI}{dt} = -10^3 \ A \ s^{-1}$.The equation for the potential at $B$ is:$V_A - I 	imes R + 15 - L \frac{dI}{dt} = V_B$Substituting the given values ($I = 5 \ A$,$R = 1 \ \Omega$,$L = 5 	imes 10^{-3} \ H$,$\frac{dI}{dt} = -10^3 \ A \ s^{-1}$):$V_A - (5 	imes 1) + 15 - (5 	imes 10^{-3}) 	imes (-10^3) = V_B$$V_A - 5 + 15 + 5 = V_B$$V_A + 15 = V_B$$V_B - V_A = 15 \ V$.

List-$I$	List-$II$
$A$. Magnetic induction	$I$. $MLT^{-2}A^{-2}$
$B$. Magnetic flux	$II$. $ML^2T^{-2}A^{-2}$
$C$. Magnetic permeability	$III$. $ML^0T^{-2}A^{-1}$
$D$. Self inductance	$IV$. $ML^2T^{-2}A^{-1}$

The network shown in the figure is part of a complete circuit. If at a certain instant,the current $I$ is $5 \ A$ and it is decreasing at a rate of $10^3 \ A \ s^{-1}$,then $V_B - V_A$ equals.....$V$.

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As per the given figure,if $\frac{ dI }{ dt } = -1 \text{ A/s}$,then the value of $V_{AB}$ at this instant will be $.......... \text{ V}$.

The network shown in the figure is part of a complete circuit. If at a certain instant the current $i$ is $5 \, A$ and is decreasing at the rate of $10^3 \, A/s$, then $V_B - V_A$ is: (in $ \, V$)

Match the List-$I$ with List-$II$:
List-$I$ List-$II$
$A$. Magnetic induction $I$. $MLT^{-2}A^{-2}$
$B$. Magnetic flux $II$. $ML^2T^{-2}A^{-2}$
$C$. Magnetic permeability $III$. $ML^0T^{-2}A^{-1}$
$D$. Self inductance $IV$. $ML^2T^{-2}A^{-1}$

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