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When the rms voltages VL, VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL : VC : VR = 1 : 2 : 3. If the rms voltage of the AC sources is 100 V, the VR is close to:
  • a)
    50 V
  • b)
    70 V
  • c)
    90 V
  • d)
    100 V
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
When the rms voltages VL, VC and VR are measured respectively across ...
Given, VL : VC : VR = 1 : 2 : 3
V = 100 V
VR = ?
As we know,
Solving we get, VR ≌ 90V
View all questions of this test
Most Upvoted Answer
When the rms voltages VL, VC and VR are measured respectively across ...


Given:
VL : VC : VR = 1 : 2 : 3
RMS voltage of AC source = 100 V

Calculating VR:
Let's assume that the RMS voltages across the inductor, capacitor, and resistor are x, 2x, and 3x respectively.
According to the given ratio:
x : 2x : 3x = 1 : 2 : 3

Sum of voltages in a series LCR circuit is equal to the RMS voltage of the AC source:
x + 2x + 3x = 100
6x = 100
x = 100/6
x = 16.67 V

Therefore, the RMS voltage across the resistor (VR) is:
VR = 3x
VR = 3 * 16.67
VR ≈ 50 V

Answer:
Therefore, the VR is close to 50 V, which is option 'a'.
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When the rms voltages VL, VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL : VC : VR = 1 : 2 : 3. If the rms voltage of the AC sources is 100 V, the VR is close to:a)50 Vb)70 Vc)90 Vd)100 VCorrect answer is option 'C'. Can you explain this answer?
Question Description
When the rms voltages VL, VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL : VC : VR = 1 : 2 : 3. If the rms voltage of the AC sources is 100 V, the VR is close to:a)50 Vb)70 Vc)90 Vd)100 VCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about When the rms voltages VL, VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL : VC : VR = 1 : 2 : 3. If the rms voltage of the AC sources is 100 V, the VR is close to:a)50 Vb)70 Vc)90 Vd)100 VCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When the rms voltages VL, VC and VR are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio VL : VC : VR = 1 : 2 : 3. If the rms voltage of the AC sources is 100 V, the VR is close to:a)50 Vb)70 Vc)90 Vd)100 VCorrect answer is option 'C'. Can you explain this answer?.
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