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Types of Linear Programing Problems

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You are given many resistances, capacitors and inductors. These are connected to a variable $D C$ voltage source (the first two circuits) or an $A C$ voltage source of $50 H z$ frequency (the next three circuits) in different ways as shown in List $2$ . When a current I (steady state for $D C$ or rms for $A C$ ) flows through the circuit, the corresponding voltage $V_{1}$ and $V_{1}$ . (indicated in circuits) are related as shown in List $1$ .Match the two

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Solution

$X_{L}$ = $2 π (50) (6 \times 10^{- 3})$ = $6 π \times 10^{- 1}$
$X_{C}$ = $\frac{1}{2 π (50) \times 3 \times 10^{- 6}}$ = $\frac{10^{4}}{3 π}$
$X_{C} > X_{L}$

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