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Standard XII

Mathematics

Number of Elements in a Cartesian Product

If VA-VB=6V, ...

Question

If $V_{A} - V_{B} = 6 V$ , then $V_{C} - V_{D}$ is

-5 V

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2 V

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3 V

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6 V

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Solution

The correct option is A -5 V

$V_{A} - V_{B} = 2 I$
$\Rightarrow$ $2 I = 6$
$\Rightarrow$ $I = 3$ A
$V_{C} + 2 + 1 \times I = V_{D}$
$V_{C} - V_{D} = - 2 - 3$
$= - 5 V$

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If VA−VB=6V, then VC−VD is

The correct option is A -5 V VA−VB=2I ⇒ 2I=6 ⇒ I=3 A VC+2+1×I=VD VC−VD=−2−3 =−5V

If $V_{A} - V_{B} = 6 V$ , then $V_{C} - V_{D}$ is

The correct option is A -5 V

$V_{A} - V_{B} = 2 I$
$\Rightarrow$ $2 I = 6$
$\Rightarrow$ $I = 3$ A
$V_{C} + 2 + 1 \times I = V_{D}$
$V_{C} - V_{D} = - 2 - 3$
$= - 5 V$