Class 10 Exam  >  Class 10 Questions  >  Three voltmeters all having different resista... Start Learning for Free
Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}?
Most Upvoted Answer
Three voltmeters all having different resistance are joined as shown ,...
Voltmeter Readings in the Circuit
In the given circuit, three voltmeters with different resistances are connected in series. The potential difference across the voltmeters is denoted as v1, v2, and v3. We need to determine the reading on voltmeter v2.

Determining the Voltmeter Readings
To find the readings on the voltmeters, we need to consider the total resistance in the circuit and the potential difference applied across points A and B.

1. Total Resistance in the Circuit
When resistors are connected in series, their resistances add up to give the total resistance. Similarly, the total resistance of the circuit can be calculated by summing the resistances of the voltmeters. Let the resistances of voltmeter v1, v2, and v3 be R1, R2, and R3, respectively. Therefore, the total resistance (RT) is given by:
RT = R1 + R2 + R3

2. Potential Difference Applied
The potential difference applied across points A and B is denoted as VAB. This potential difference is shared across the resistors in the circuit. Therefore, the potential difference across each voltmeter can be calculated using Ohm's Law:
V1 = (R1 / RT) * VAB
V2 = (R2 / RT) * VAB
V3 = (R3 / RT) * VAB

3. Calculating the Reading on Voltmeter v2
To determine the reading on voltmeter v2, we substitute the values of V1 and V3 into the equation for V2:
V2 = (R2 / RT) * VAB

Explanation
The reading on voltmeter v2 depends on the ratio of its resistance (R2) to the total resistance in the circuit (RT) and the potential difference applied across points A and B (VAB). The reading will be higher if the resistance of voltmeter v2 is higher compared to the other voltmeters (R1 and R3) or if the potential difference applied across the circuit is higher.

It is important to note that the voltmeter readings are a measure of the potential difference across each voltmeter, not the potential difference across the entire circuit. Therefore, the readings on the voltmeters can be different even when they are connected in series.

In conclusion, to determine the reading on voltmeter v2, we need to know the resistances of all three voltmeters, the total resistance in the circuit, and the potential difference applied across points A and B.
Community Answer
Three voltmeters all having different resistance are joined as shown ,...
8389927598 home credit customer care number personal Loan home loan business loan provide. all day call me 24× available
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}?
Question Description
Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}?.
Solutions for Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}? defined & explained in the simplest way possible. Besides giving the explanation of Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}?, a detailed solution for Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}? has been provided alongside types of Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}? theory, EduRev gives you an ample number of questions to practice Three voltmeters all having different resistance are joined as shown , When some potential difference is applied across A and B then readings in voltmeter are v_{1}, v_{2} and V_{3}; v_{2}? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev