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The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.?
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The resistance of a 150-scale voltmeter is 12000 ohms. The power consu...
Calculation of Power Consumed by Voltmeter
Given:
Resistance of Voltmeter, R = 12000 ohms
Voltage of Circuit, V = 125 volts
Scale of Voltmeter = 150
Formula:
Power, P = V^2/R
Calculation:
Firstly, we need to find the voltage that will be indicated on the scale of the voltmeter when it is connected across the 125-volt circuit.
The voltage indicated on the scale of the voltmeter = (Reading of Voltmeter/Scale of Voltmeter) x Voltage of Circuit
= (Reading of Voltmeter/150) x 125 volts
Let's assume that the reading of voltmeter is Vr volts.
Therefore, Vr = (Reading of Voltmeter/150) x 125 volts
Now, we can use the formula to calculate the power consumed by the voltmeter.
P = V^2/R
= (Vr)^2/R
= (Vr x Vr)/R
= (125/150 x Vr)^2/R
= (5/6 x Vr)^2/R
= (0.833 x Vr)^2/R
= (0.833 x Vr/12000)^2 x 125^2
Substituting the value of Vr in the above equation, we get:
P = (0.833 x 125/150/12000)^2 x 125^2
= 0.0013 watts (Approximately)
Answer:
Therefore, the power consumed by the voltmeter when it is connected across a 125-volt circuit is nearly 0.0013 watts (Option A).
Given:
Resistance of Voltmeter, R = 12000 ohms
Voltage of Circuit, V = 125 volts
Scale of Voltmeter = 150
Formula:
Power, P = V^2/R
Calculation:
Firstly, we need to find the voltage that will be indicated on the scale of the voltmeter when it is connected across the 125-volt circuit.
The voltage indicated on the scale of the voltmeter = (Reading of Voltmeter/Scale of Voltmeter) x Voltage of Circuit
= (Reading of Voltmeter/150) x 125 volts
Let's assume that the reading of voltmeter is Vr volts.
Therefore, Vr = (Reading of Voltmeter/150) x 125 volts
Now, we can use the formula to calculate the power consumed by the voltmeter.
P = V^2/R
= (Vr)^2/R
= (Vr x Vr)/R
= (125/150 x Vr)^2/R
= (5/6 x Vr)^2/R
= (0.833 x Vr)^2/R
= (0.833 x Vr/12000)^2 x 125^2
Substituting the value of Vr in the above equation, we get:
P = (0.833 x 125/150/12000)^2 x 125^2
= 0.0013 watts (Approximately)
Answer:
Therefore, the power consumed by the voltmeter when it is connected across a 125-volt circuit is nearly 0.0013 watts (Option A).
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The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.?
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The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.?.
The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a 150-scale voltmeter is 12000 ohms. The power consumed by the voltmeter when it is connected across a 125 volt circuit, will be nearly (A) 0.0013 W (B) 0.013 W (C) 0.13 W (D) 1.3 W.?.
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