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Question: The tangent galvanometers having coils of the same radius are connected in series. A current flowing...

The tangent galvanometers having coils of the same radius are connected in series. A current flowing in them produces deflections of 600 and 450respectively. The ratio of the number of turns in the coil is –

A

(4/3)

B

(3\sqrt { 3 } + 1)/1

C

(3+13−1)\left( \frac { \sqrt { 3 } + 1 } { \sqrt { 3 } - 1 } \right)

D

3\sqrt { 3 }/1

Answer

3\sqrt { 3 }/1

Explanation

Solution

In series current is same. In tangent galvanometer

B = BH tanθ ⇒  = BH tanθ

Q i = Same ∴ n ∝ tanθ ⇒31\frac { \sqrt { 3 } } { 1 }