The tangent galvanometers having coils of the same radius are connected in series. A current flowing in them produces deflections of 60o and 45o respectively. The ratio of the number of turns in the coil is:

Question

The tangent galvanometers having coils of the same radius are connected in series. A current flowing in them produces deflections of 60o and 45o respectively. The ratio of the number of turns in the coil is: (A) ((4/3)) (B) ((√3 + 1)/1) (C) ((√3 + 1/√3 - 1)) (D) (√3/1)

Tardigrade Admin · Accepted Answer

In series current is same. In tangent galvanometer B=BHtan θ ⇒ (μ 0 n i/2 R)=BH tanθ ∵ i= same ∴ n propto tan θ ⇒ (n1/n2)=(tan â¡ 60o/tan â¡ 45o)=(√3/1)

Q. The tangent galvanometers having coils of the same radius are connected in series. A current flowing in them produces deflections of $6 0^{o}$ and $4 5^{o}$ respectively. The ratio of the number of turns in the coil is:

$(\frac{4}{3})$

$\frac{( 3 + 1 )}{1}$

$(\frac{3 + 1}{3 - 1})$

$\frac{3}{1}$

In series current is same. In tangent galvanometer
$B = B_{H} t an θ \Rightarrow \frac{μ _{0} ni}{2 R} = B_{H} t an θ$
$∵ i =$ same
$∴ n \propto t an θ \Rightarrow \frac{n _{1}}{n _{2}} = \frac{t an 6 0 ^{o}}{t an 4 5 ^{o}} = \frac{3}{1}$

Q. The tangent galvanometers having coils of the same radius are connected in series. A current flowing in them produces deflections of 60o and 45o respectively. The ratio of the number of turns in the coil is:

(34​)

1(3​+1)​

(3​−13​+1​)

13​​