In a moving coil galvanometer- the deflection of the coil - is related to the electric current i by the relation

The correct option is A i∝θ Due to linear scale, i ∝θ ...

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Galvanometer

In a moving c...

Question

In a moving coil galvanometer, the deflection of the coil $θ$ is related to the electric current $i$ by the relation

i \propto t a n θ

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i \propto θ

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i \propto θ^{2}

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i \propto \sqrt{θ}

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Solution

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i

θ

\frac{1 - sin θ}{1 + sin θ} = (sec θ - tan θ)^{2}

\frac{1 + cos θ}{1 - cos θ} = (cosec θ + cot θ)^{2}

τ = k i

θ = Q \sqrt{\frac{π N A B}{x I i_{0}}}

(i) $\frac{c o s e c θ + c o t θ}{c o s e c θ - c o t θ} = (c o s e c θ + c o t θ)^{2} = 1 + 2 c o t^{2} θ + 2 c o s e c θ c o t θ$

(ii) $\frac{s e c θ + t a n θ}{s e c θ - t a n θ} = (s e c θ + t a n θ)^{2} = 1 + 2 t a n^{2} θ + 2 s e c θ t a n θ$

(σ_{v})

(σ_{i})

G

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