Home
Class 12
PHYSICS
Two moving coil meters, M1 and M2 have t...

Two moving coil meters, `M_1 `and `M_2` have the following particulars: `R_1` = `10Omega` , N_1 = 30. `A_1`= `3.6 xx 10^-3 m^2`, `B_1` = 0.25 T `R_2` = `14Omega` , `N_2` = 42, `A_2=1.8Xx10^-3 m^2`,`B_2`=0.50T (The spring constants are identical for the two meters). Determine the ratio of voltage sensitivity of `M_2 and M_1`.

Text Solution

Verified by Experts

`N _(1) = 30, B _(1) = 0. 25 T,A _(1) = 3. 6 xx 10 ^(-3) m^(2) `
`therefore ` Current senstivity for `M_(1) = ( N _(1) B _(1) A _(1))/( k ) = ( 30 xx 0. 25 xx 3 .6 xx 10 ^(-3))/( k )`
Also, `N _(2) = 42, B_(2) = 0. 50 T, A _(2) = 1. 8 xx 10 ^(-3) m ^(2).`
Current senstivity for `M _(2) = ( N _(2) B _(2) A _(2))/( k ) = ( 42 xx 0. 50 xx 1 . 8 xx 10 ^(-3))/( k )`
`therefore (("Current Sensitiity")M _(2))/(("Current Sensitivity") M _(1)) = ( 42 xx 0. 50 xx 1. 8 xx 10 ^(-3))/( 30 xx 0. 25 xx 3. 6 xx 10 ^(-3)) = 1. 4`
Now , voltage sensitivity for `M _(1) = (N_(1) B _(1) A _(1))/( k R _(1)) = ( 30 xx 0. 25 xx 3. 6 xx 10 ^(-3))/( k xx 10)`
Voltage sensitivity for `M _(2) = ( N _(2) B _(2) A _(2))/( k R _()) = ( 42 xx 0. 50 xx 1. 8 xx 10 ^(-3))/( k xx 14)`
`therefore (("Voltage Sensitivity") _(M _(2)))/(("Voltage Senstivity") _(M _(1))) = (42 xx 0. 50 xx 1. 8 xx 10 ^(-3) xx k xx 10)/( 30 xx 0. 25 xx 3. 6 xx 1 0 ^(-3) xx k xx 14) = 1 `
Promotional Banner

Similar Questions

Explore conceptually related problems

Two moving coil meters, M_1 and M_2 have the following particulars: R_1 = 10Omega , N_1 = 30. A_1 = 3.6 xx 10^-3 m^2 , B_1 = 0.25 T R_2 = 14Omega , N_2 = 42, A_2=1.8Xx10^-3 m^2 , B_2 =0.50T (The spring constants are identical for the two meters). Determine the ratio of current sensitivity

A moving coil meter has the followig particulars. The number of turns n = 24, area of coil, A = 2.0 xx 10^-3m^2 magnetic field strength, B = 0.20 T and resistane of the coil, R = 14 ohm Indicate a simple way to increase in current sensitivity of the meter by 25%

If m_1,m_2 are the slopes of the two tangents that are drawn from (2,3) to the parabola y^2=4x , then the value of 1/m_1+1/m_2 is

If A_1 and A_2 are two A.M.’s between a and b, prove that : A_1+A_2 =a+b .

Find the value of : m^3-1/n^3 , if m-1/n=13/2 and m/n=7/2 .

If p_0 = 1.03 xx 10^5 N m^-2, rho_0 = 1.29 kg m^-3 and g = 9.8 m s^-2 , at what height will the pressure drop to (1/10) the value at the surface of the earth?

The ratio of the sums of m and n terms of an A.P. is m^2: n^2 . Show that the ratio of m^(th) and n^(th) term is (2m - 1 ) : (2n -1).

Calculate the pH of 0.2 M CH_3 COOH (K_a = 1.5 xx 10^-5) .