Consider two identical galvanometers and two identical resi… | CGP Edu

Physics Current Electricity JEE (Advanced) / IIT-JEE Problems (Previous Years) MCQ (Single Correct)

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers R C < R/2, which of the following statement(s) about any one of the galvanometers is(are) true?

A

The maximum voltage range is obtained when all the components are connected in series

B

The maximum voltage range is obtained when the two resistors and one galvanometer are connected in series, and the second galvanometer is connected in parallel to the first galvanometer

C

The maximum current range is obtained when all the components are connected in parallel

D

The maximum current range is obtained when the two galvanometers are connected in series, and the combination is connected in parallel with both the resistors.

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(b, c)

Suppose current for full deflection (i.e., For maximum range) through galvanometer is I g .

Total potential difference V 1 = 2I g (R + R C )

Total potential difference V 2 = 2I g = I g (R C + 4R)

Now since 2R C < R

So V 1 < 3I g R

while V 2 > 4RI g

So V 2 > V 1

I g R C = IR

I =

I 1 =

2I g R C = IR

I =

I 2 = I g We can be see I 1 > I 2 S

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