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The Schering bridge shown in figure has the following constant R1 = 1.5 kΩ, C1 = 0.4 μF, R2 = 3 kΩ and C3 = 0.4 μF at frequency 1 kHz. The dissipation factor is_______
  • a)
    0.28
  • b)
    3.77
  • c)
    4.23
  • d)
    3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The Schering bridge shown in figure has the following constant R1= 1.5...
Given, R1 = 1.5 kΩ
C1 = 0.4 μF
R2 = 3 kΩ
C3 = 0.4 μF
f = 1 kHz
We know that,

and the unknown capacitance

Dissipation factor

= 2πfCxRx
= 2π × 1 × 103 × 0.2 × 10-6 × 3 × 103
= 3.77 
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Most Upvoted Answer
The Schering bridge shown in figure has the following constant R1= 1.5...
Ω, R2= 3 kΩ, C1= 200 nF, and C2= 400 nF. The unknown capacitance Cx to be measured is connected in parallel with C2. The bridge is balanced by varying the resistance R3. At balance, R3 is found to be 1.2 kΩ. Find the value of Cx.

First, we can calculate the impedance of the bridge at balance using the following formula:

Zbalance = R1 || (R2 + R3) - 1/(jωC1) || 1/(jωCx + jωC2)

where "||" denotes parallel impedance. At balance, the imaginary part of Zbalance should be zero, since the bridge is balanced. Therefore:

Im[Zbalance] = -ω(R1)(R2+R3)C1 + ωC2(R1)(R2+R3)Cx = 0

Solving for Cx, we get:

Cx = (R1)(R2+R3)C1 / C2

Plugging in the given values, we get:

Cx = (1.5kΩ)(3kΩ+1.2kΩ)(200nF) / (400nF)
= 1.35 nF

Therefore, the unknown capacitance Cx is 1.35 nF.
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The Schering bridge shown in figure has the following constant R1= 1.5 kΩ, C1= 0.4 μF, R2= 3 kΩ and C3= 0.4 μF at frequency 1 kHz. The dissipation factor is_______a)0.28b)3.77c)4.23d)3Correct answer is option 'B'. Can you explain this answer?
Question Description
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