Single Choice

A tangent galvanometer has a coil with $$50$$ turns and radius equal to $$4$$ cm. A current of $$0.1$$ Amp is passing through it. The plane of the coil is set parallel to the earth's magnetic meridian. If the value of the earth's horizontal component of the magnetic field is $$7\times 10^{-5}T$$ and $$\mu_0= 4\pi \times 10^{-7}Wb/A-m$$. then the deflection in the galvanometer needle will be :

A$$45^0$$
B$$48.2^0$$
Correct Answer
C$$50.7^0$$
D$$52.7^0$$

Solution

$$i= \dfrac{2rB_H}{\mu_on}tan\theta$$
$$tan\theta = \dfrac{\mu_oni}{2rB}=\dfrac{4\pi\times 10^{-7}\times 50\times 0.1}{2\times 0.04 \times 7 \times 10^{-5}}= 1.121$$
$$\theta = 48.2^0$$

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