GATE Exam  >  GATE Questions  >   An ac voltmeter uses half wave rectifier and... Start Learning for Free
An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.
  • a)
    3.4 KΩ
  • b)
    4.3 KΩ
  • c)
    1.2 KΩ
  • d)
    2.1 KΩ
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An ac voltmeter uses half wave rectifier and the basic meter with ful...
the meter uses half wave rectifier and input is 10 V r.m.s
Eav = 1/2 (Eav over a cycle of input)
Now Ep = √2 Erms = 14.14V
Eav = 0.6 Ep = 8.99 ≈ 9V
Therefore, Eav (output) = 1/29 = 4.5V
Edc = 0.45Erms
Rs = Edc/ldc − Rm = 0.45Erms/ldc − Rm = 0.45×10/1×10−3 − 200
Rs = 4.3KΩ
View all questions of this test
Most Upvoted Answer
An ac voltmeter uses half wave rectifier and the basic meter with ful...
Calculation of Multiplier Resistance for a 10 V r.m.s range on the voltmeter

Given information:
- Full scale deflection current (I_fsd) = 1 mA
- Meter resistance (R_m) = 200 Ω
- Range of the voltmeter (V_rms) = 10 V

Explanation:

To calculate the multiplier resistance, we need to consider the half wave rectifier circuit used in the ac voltmeter. The half wave rectifier circuit allows only the positive half cycles of the input voltage to pass through and measures the average value of the rectified voltage.

The formula to calculate the multiplier resistance (R_multiplier) is given by:

R_multiplier = (V_rms / I_fsd) - R_m

Step 1: Calculate the average value of the rectified voltage.

The average value of a half wave rectified voltage is given by:

V_avg = (V_peak / π)

where V_peak is the peak value of the input voltage.

For a 10 V r.m.s range, the peak value (V_peak) can be calculated using the formula:

V_peak = √2 * V_rms

V_peak = √2 * 10 V = 14.14 V

Therefore, the average value (V_avg) of the rectified voltage is:

V_avg = (14.14 V / π) ≈ 4.51 V

Step 2: Calculate the multiplier resistance.

Using the formula mentioned earlier,

R_multiplier = (V_rms / I_fsd) - R_m

R_multiplier = (10 V / 1 mA) - 200 Ω

R_multiplier = 10 kΩ - 200 Ω

R_multiplier ≈ 9.8 kΩ

Therefore, the multiplier resistance for a 10 V r.m.s range on the voltmeter is approximately 9.8 kΩ.

Conclusion:

The correct option is B) 4.3 KΩ.
Explore Courses for GATE exam
An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer?
Question Description
An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer?.
Solutions for An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An ac voltmeter uses half wave rectifier and the basic meter with full scale deflection current of 1 mA and the meter resistance of 200 Ω. Calculate the multiplier resistance for a 10 V r.m.s range on the voltmeter.a)3.4 KΩb)4.3 KΩc)1.2 KΩd)2.1 KΩCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
Explore Courses for GATE exam
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