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Moving coil galvanometer

A moving coil galvanometer has 50 turns and each turn has an a

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A moving coil galvanometer has 50 turns and each turn has an area $2 \times 1 0^{- 4} m^{2}$ . The magnetic field produced by the magnet inside the galvanometer is $0.02 T$ . The torsional constant of the suspension wire is $1 0^{- 4} N - m rad^{- 1}$ . When a current flows through the galvanometer, a full scale deflection occurs, if the coil rotates by $0.2$ rad. The resistance of the coil of the galvanometer is $50Ω$ . This galvanometer is to be converted into an ammeter capable of measuring current in the range $0 - 1.0$ A. For this purpose, a shunt resistance is to be added in parallel to the galvanometer. The value of this shunt resistance in ohms, is .............

Uploaded: 2022-09-23T13:26:49.000Z
Duration: 1 min

Views: 5,958 students

Updated on: Sep 23, 2022

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Electricity and Magnetism (DC Pandey)

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A moving coil galvanometer has 50 turns and each turn has an area

2 \times 1 0^{- 4} m^{2}

. The magnetic field produced by the magnet inside the galvanometer is

0.02 T

. The torsional constant of the suspension wire is

1 0^{- 4} N - m rad^{- 1}

. When a current flows through the galvanometer, a full scale deflection occurs, if the coil rotates by

0.2

rad. The resistance of the coil of the galvanometer is

50Ω

. This galvanometer is to be converted into an ammeter capable of measuring current in the range

0 - 1.0

A. For this purpose, a shunt resistance is to be added in parallel to the galvanometer. The value of this shunt resistance in ohms, is .............

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10 mins ago

Text solutionVerified

(5.55) Given,

N = 50

A = 2 \times 1 0^{- 4} m^{2}, C = 1 0^{- 4}, R = 50Ω,

∴ \Rightarrow ∴ B = 0.02 T, θ = 0.2 rad N i_{g} A B = Cθ i_{g} = \frac{Cθ}{N A B} = \frac{1 0 ^{- 4} \times 0.2}{50 \times 2 \times 1 0 ^{- 4} \times 0.02} = 0.1 A V_{ab} = i_{g} \times G = (i - i_{g}) S 0.1 \times 50 = (1 - 0.1) \times S

∴ 5 = 0.9 \times S S = \frac{50}{9} Ω = 5.55Ω

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Question Text	A moving coil galvanometer has 50 turns and each turn has an area $2 \times 1 0^{- 4} m^{2}$ . The magnetic field produced by the magnet inside the galvanometer is $0.02 T$ . The torsional constant of the suspension wire is $1 0^{- 4} N - m rad^{- 1}$ . When a current flows through the galvanometer, a full scale deflection occurs, if the coil rotates by $0.2$ rad. The resistance of the coil of the galvanometer is $50Ω$ . This galvanometer is to be converted into an ammeter capable of measuring current in the range $0 - 1.0$ A. For this purpose, a shunt resistance is to be added in parallel to the galvanometer. The value of this shunt resistance in ohms, is .............
Updated On	Sep 23, 2022
Topic	Current Electricity
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 2
Upvotes	323
Avg. Video Duration	1 min

Text solutionVerified

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