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Question: A tangent galvanometer has a coil of 25 turns and radius of 15 cm. The horizontal component of the e...

A tangent galvanometer has a coil of 25 turns and radius of 15 cm. The horizontal component of the earth’s magnetic field is 3 × 10–5 T. The current required to produce a deflection of 45o in it, is

A

0.29 A

B

1.2 A

C

3.6 × 10–5 A

D

0.14 A

Answer

0.29 A

Explanation

Solution

i=2rBHμ0Ntanθi = \frac { 2 r B _ { H } } { \mu _ { 0 } N } \tan \theta

i=2×15×102×3×1054π×107×25×tan45\Rightarrow i = \frac { 2 \times 15 \times 10 ^ { - 2 } \times 3 \times 10 ^ { - 5 } } { 4 \pi \times 10 ^ { - 7 } \times 25 } \times \tan 45 ^ { \circ } i=0.29 A\Rightarrow i = 0.29 \mathrm {~A}