Two moving coil galvanomenters M 1 and M 2 having same spring constants and have the following specifications-for galvanomter M 1- R 1-10 - N 1-30A 1-3-6 - 10-3 m 2- B 1-0-25 Tfor galvanomter M - 2-R2 -14 Omega- N- 2-42- A 2-1-8 - 10-3 m 2- B 2-0-5 TFind the ratio of current sensitivity of galavnomter M 1 to galvanomter M 2A-B- 4-4C- 1D- 7-5

The correct option is A 5/7Current sensitivity is given by ϕ/i = NAB/k For galvanometer M_1 (ϕ/i)_1 =N_1A_1B_1/k= nbsp; (30× 3.6 × 10^ 3× 0.25)/k For galvan ...

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Byju's Answer

Standard XII

Physics

Toroid

Two moving co...

Question

Two moving coil galvanomenters $M_{1}$ and $M_{2}$ having same spring constants and have the following specifications.

for galvanomter $M_{1}$ ,
$R_{1} = 10 Ω, N_{1} = 30$ ,
$A_{1} = 3.6 \times 10^{- 3} m^{2}, B_{1} = 0.25 T$ ,
for galvanomter $M_{2}, R_{2} = 14 Ω, N_{2} = 42,$
$A_{2} = 1.8 \times 10^{- 3} m^{2}, B_{2} = 0.5 T$

Find the ratio of current sensitivity of galavnomter $M_{1}$ to galvanomter $M_{2}$

\frac{5}{7}

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\frac{3}{4}

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1

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\frac{7}{5}

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Solution

The correct option is A $\frac{5}{7}$
Current sensitivity is given by $\frac{ϕ}{i} = \frac{N A B}{k}$
For galvanometer $M_{1}$
$(\frac{ϕ}{i})_{1} = \frac{N_{1} A_{1} B_{1}}{k} = \frac{(30 \times 3.6 \times 10^{- 3} \times 0.25)}{k}$

For galvanometer $M_{2}$
$(\frac{ϕ}{i})_{2} = \frac{N_{2} A_{2} B_{2}}{k} = \frac{(42 \times 1.8 \times 10^{- 3} \times 0.5)}{k}$

$∴ \frac{(\frac{ϕ}{i})_{1}}{(\frac{ϕ}{i})_{2}} = \frac{5}{7}$

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Similar questions

Two moving coil meters, M₁ and M₂ have the following particulars:

R₁ = 10 Ω, N₁ = 30,

A₁ = 3.6 × 10^–3 m², B₁ = 0.25 T

R₂ = 14 Ω, N₂ = 42,

A₂ = 1.8 × 10^–3 m², B₂ = 0.50 T

(The spring constants are identical for the two meters).

Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M₁.

Q. Two moving coil meters, M1 and M2 have the following particulars:R1 = 10 W, N1 = 30,A1 = 3.6 × 10–3 m2, B1 = 0.25 TR2 = 14 W, N2 = 42,A2 = 1.8 × 10–3 m2, B2 = 0.50 T (The spring constants are identical for the two meters).Determine the ratio of (a) current sensitivity and (b) voltagesensitivity of M2 and M1.

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The correct option is A 57Current sensitivity is given by ϕi=NABk For galvanometer M1 (ϕi)1=N1A1B1k=(30×3.6×10−3×0.25)k For galvanometer M2 (ϕi)2=N2A2B2k=(42×1.8×10−3×0.5)k ∴(ϕi)1(ϕi)2=57