The reactance of a condenser of capacity 50 -F for an AC of frequency 2 - 103 Hertz will be

The correct option is D 5/π Given : #160; ν = 2000 Hz #160; #160;, #160; #160; #160; C = 50μ F Capacitive reactance #160; ...

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Byju's Answer

Standard XII

Physics

Capacitive Reactance

The reactance...

Question

The reactance of a condenser of capacity 50 $μ$ F for an $A C$ of frequency $2 \times 10^{3}$ Hertz will be

5 ohm

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\frac{2}{π}

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\frac{3}{π}

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\frac{5}{π}

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Solution

The correct option is D $\frac{5}{π}$
Given : $ν = 2000$ Hz , $C = 50 μ F$

Capacitive reactance $X_{c} = \frac{1}{2 π ν C}$
$= \frac{1}{2 π (2000) \times 50 \times 10^{- 6}}$
$= \frac{5}{π}$ $Ω$

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The reactance of a condenser of capacity 50 μF for an AC of frequency 2×103 Hertz will be

The correct option is D 5πGiven : ν=2000 Hz , C=50μFCapacitive reactance Xc=12πνC=12π(2000)×50×10−6=5π Ω

The reactance of a condenser of capacity 50 $μ$ F for an $A C$ of frequency $2 \times 10^{3}$ Hertz will be

The correct option is D $\frac{5}{π}$
Given : $ν = 2000$ Hz , $C = 50 μ F$

Capacitive reactance $X_{c} = \frac{1}{2 π ν C}$
$= \frac{1}{2 π (2000) \times 50 \times 10^{- 6}}$
$= \frac{5}{π}$ $Ω$