In a Maxwell-s bridge circuit shown below- If R3 - 10 - C - 0-5 mF- R1 - 320 - and R2 - 20 - at balance then is the Q-factor for the unknown impedance at a supply frequency of 50 Hz-

R_3 = 10 Ω, nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; C = 0.5 mF, R_1 = 320 Ω nbsp; and nbsp; nbsp;R_2 = 20 Ω By using balance conditions, ...

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Maxwell's Capacitance Bridge

In a Maxwell'...

Question

In a Maxwell's bridge circuit shown below,

$I f R_{3} = 10 Ω, C = 0.5 m F, R_{1} = 320 Ω a n d R_{2} = 20 Ω$ at balance then _____ is the Q-factor for the unknown impedance at a supply frequency of 50 Hz.
1.57

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Solution

The correct option is A 1.57
$R_{3} = 10 Ω$ , C = 0.5 mF,
$R_{1} = 320 Ω$ and $R_{2} = 20 Ω$

By using balance conditions,

$R_{4} = \frac{R_{2} R_{1}}{R_{3}} = \frac{20 \times 320}{10} = 640 Ω$

$L_{4} = R_{2} R_{1} C = 320 \times 20 \times \frac{1}{2} \times 10^{- 3} = 3.2 H$

$Q = \frac{ω L_{4}}{R_{4}} = \frac{2 π f L_{4}}{R_{4}} = \frac{2 π \times 50 \times .3 .2}{640} = 1.57$

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In a Maxwell's bridge circuit shown below, IfR3=10Ω,C=0.5mF,R1=320ΩandR2=20Ω at balance then _____ is the Q-factor for the unknown impedance at a supply frequency of 50 Hz. 1.57

The correct option is A 1.57R3=10Ω, C = 0.5 mF, R1=320Ω and R2=20Ω By using balance conditions, R4=R2R1R3=20×32010=640Ω L4=R2R1C=320×20×12×10−3=3.2H Q=ωL4R4=2πfL4R4=2π×50×.3.2640=1.57

In a Maxwell's bridge circuit shown below,

$I f R_{3} = 10 Ω, C = 0.5 m F, R_{1} = 320 Ω a n d R_{2} = 20 Ω$ at balance then _____ is the Q-factor for the unknown impedance at a supply frequency of 50 Hz.
1.57