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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Experimental Physics

NTA Abhyas 2020 · Physics · Experimental Physics

A galvanometer of resistance 25Ω is connected to a battery of 2V...

A galvanometer of resistance 25Ω25Ω is connected to a battery of 2V2V along with a resistance of 3000Ω3000Ω. In this case, a full-scale deflection of 30units30units is obtained in the galvanometer. In order to reduce this deflection to 10units10units, how much more resistance (in ΩΩ) should be added to the circuit in series?

Correct answer

6050

Step-by-step solution

The deflection in a galvanometer is directly proportional to the current.

First case:

30x=225+300030x = \dfrac{2}{25 + 3000}

Second case:

10x=225+3000+R10x = \dfrac{2}{25 + 3000 + R}

⇒3=25+3000+R25+3000⇒ 3 = \dfrac{25 + 3000 + R}{25 + 3000}

On solving, we get

R=6050ΩR = 6050Ω

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