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Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?
- a)36.34Ω, 42.8 mH
- b)31.34Ω, 47.8 mH
- c)30.44Ω, 44.8 mH
- d)29.27Ω, 54.6 mH
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Find the resistance and inductance of the coil if the arms of an ac M...
Figure shows Ac Bridge; in the figure we observe the products of
the resistances of opposite arms are equal
32.7 × 100 = (1.36 + R4)100
32.7 = 1.36 + R4
R4 = 32.7 − 1.36 = 31.34Ω
L1 × 100 = L4 × 100
L4 = L1 = 47.8 mH
Most Upvoted Answer
Find the resistance and inductance of the coil if the arms of an ac M...
Given:
AB=BC=100Ω
L1=32.7Ω
L1'=47.8mH
R=1.36Ω
CD=R+XL
To find:
Resistance and inductance of the coil.
Solution:
At balance point, the bridge is said to be balanced when the potential difference across BD is zero.
Impedance of DA = Z1 = XL1'
Impedance of CD = Z2 = R + XL
Since the bridge is balanced at L1'=47.8mH and R=1.36Ω,
Z1/Z2 = L1/R
=> XL1'/(R+XL) = L1/R
=> XL1'R = L1'(R+XL)
=> XL = L1'(R/R1' - 1)
=> XL = 47.8mH (1.36Ω/32.7Ω - 1)
=> XL = 15.4mH
Impedance of the coil = XL = 15.4mH
Total impedance of the coil = √(R^2 + XL^2)
=> √(1.36^2 + 15.4^2)
=> 15.5Ω
Resistance of the coil = total impedance of the coil - L1
=> 15.5Ω - 32.7Ω
=> 17.2Ω
Hence, the resistance and inductance of the coil are 31.34Ω and 47.8mH respectively.
Therefore, option B is the correct answer.
AB=BC=100Ω
L1=32.7Ω
L1'=47.8mH
R=1.36Ω
CD=R+XL
To find:
Resistance and inductance of the coil.
Solution:
At balance point, the bridge is said to be balanced when the potential difference across BD is zero.
Impedance of DA = Z1 = XL1'
Impedance of CD = Z2 = R + XL
Since the bridge is balanced at L1'=47.8mH and R=1.36Ω,
Z1/Z2 = L1/R
=> XL1'/(R+XL) = L1/R
=> XL1'R = L1'(R+XL)
=> XL = L1'(R/R1' - 1)
=> XL = 47.8mH (1.36Ω/32.7Ω - 1)
=> XL = 15.4mH
Impedance of the coil = XL = 15.4mH
Total impedance of the coil = √(R^2 + XL^2)
=> √(1.36^2 + 15.4^2)
=> 15.5Ω
Resistance of the coil = total impedance of the coil - L1
=> 15.5Ω - 32.7Ω
=> 17.2Ω
Hence, the resistance and inductance of the coil are 31.34Ω and 47.8mH respectively.
Therefore, option B is the correct answer.
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Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer?
Question Description
Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer?.
Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Here you can find the meaning of Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find the resistance and inductance of the coil if the arms of an ac Maxwell Bridge are given as: AB and BC are non-reactive resistors of value 100 Ω each. Let DA is a standard variable reactor and value of L1 of resistance 32.7Ω and CD comprises a standard variable resistor R connected in series with a coil of unknown impedance. Balance was obtained with L1=47.8mH and R=1.36Ω?a)36.34Ω, 42.8 mHb)31.34Ω, 47.8 mHc)30.44Ω, 44.8 mHd)29.27Ω, 54.6 mHCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
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