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A galvanometer coil has a resistance of 15 Ω and the metre shows full scale deflection for a current of 4 mA. How will you convert the metre into an ammeter of range 0 to 6 A?

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प्रश्न

A galvanometer coil has a resistance of 15 Ω and the metre shows full scale deflection for a current of 4 mA. How will you convert the metre into an ammeter of range 0 to 6 A?

संख्यात्मक
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उत्तर

Resistance of the galvanometer coil, G = 15 Ω

Current for which the galvanometer shows full scale deflection, Ig = 4 mA = 4 × 10−3 A

Range of the ammeter is 0, which needs to be converted to 6 A.

∴ Current, I = 6 A

A shunt resistor of resistance S is to be connected in parallel with the galvanometer to convert it into an ammeter. The value of S is given as:

S = `("I"_"g""G")/("I" - "I"_"g")`

= `(4 xx 10^-3 xx 15)/(6 - 4 xx 10^-3)`

S = `(6 xx 10^-2)/(6 - 0.004)`

= `0.06/5.996`

≈ 0.01 Ω = 10 mΩ

Hence, a 10 mΩ shunt resistor is to be connected in parallel with the galvanometer.

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अध्याय 4: Moving Charges and Magnetism - Exercise [पृष्ठ १७२]

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एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 4 Moving Charges and Magnetism
Exercise | Q 4.28 | पृष्ठ १७२

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