Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers RC andlt; 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 seriesb)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 galvanometerc)The maximum current range is obtained when all the components are connected in paralled)The maximum current range is obtained when the two galvanometers are connected in series and thecombination is connected in parallel with both the resistorsCorrect answer is option 'A,C'. Can you explain this answer?

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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 paralle
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

Correct answer is option 'A,C'. Can you explain this answer?

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Consider two identical galvanometers and two identical resistors with ...

The internal resistance of a galvanometer is usually very high, typically in the range of kilohms to megohms. This is because the galvanometer is designed to have a high sensitivity and measure small currents. So, let's assume that the internal resistance of the galvanometers is RC.

If we connect the galvanometers in parallel to each other and connect them in series to the resistors, the circuit would look like this:

_________
| |
I1 ----| |---R---I2
| |
|_________|

Where I1 and I2 are the currents passing through each galvanometer and R is the resistance of the resistors.

The total resistance of the circuit is given by:

RTotal = RC + R + RC = 2RC + R

The total current passing through the circuit is given by:

ITotal = I1 + I2

Since the galvanometers are identical, the current passing through each galvanometer is the same:

I1 = I2 = I

So, the total current passing through the circuit is:

ITotal = I + I = 2I

By Ohm's Law, the total current passing through the circuit is given by:

ITotal = VTotal / RTotal

Where VTotal is the voltage applied to the circuit.

Therefore, the voltage applied to the circuit is:

VTotal = ITotal * RTotal = 2I * (2RC + R) = 4IRC + 2IR

Now, let's consider the voltage drop across each galvanometer:

V1 = I * RC
V2 = I * RC

Since the galvanometers are identical, the voltage drop across each galvanometer is the same:

V1 = V2 = V

The voltage applied to the circuit is the sum of the voltage drops across the galvanometers and the resistor:

VTotal = V + V + IR = 2V + IR

Comparing this with the expression we obtained for VTotal earlier:

2V + IR = 4IRC + 2IR

Simplifying the equation:

2V = 4IRC
V = 2IRC

So, the voltage drop across each galvanometer is equal to 2 times the internal resistance of the galvanometer multiplied by the current passing through the circuit.

In conclusion, the voltage drop across each galvanometer is equal to 2 times the internal resistance of the galvanometer multiplied by the current passing through the circuit.

Answered by Infinity Academy · View profile

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Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers RC < 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 seriesb)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 galvanometerc)The maximum current range is obtained when all the components are connected in paralled)The maximum current range is obtained when the two galvanometers are connected in series and thecombination is connected in parallel with both the resistorsCorrect answer is option 'A,C'. Can you explain this answer?

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Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers RC < 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 seriesb)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 galvanometerc)The maximum current range is obtained when all the components are connected in paralled)The maximum current range is obtained when the two galvanometers are connected in series and thecombination is connected in parallel with both the resistorsCorrect answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers RC < 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 seriesb)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 galvanometerc)The maximum current range is obtained when all the components are connected in paralled)The maximum current range is obtained when the two galvanometers are connected in series and thecombination is connected in parallel with both the resistorsCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers RC < 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 seriesb)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 galvanometerc)The maximum current range is obtained when all the components are connected in paralled)The maximum current range is obtained when the two galvanometers are connected in series and thecombination is connected in parallel with both the resistorsCorrect answer is option 'A,C'. Can you explain this answer?.

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