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Question

When the voltage across a battery is measured using a d.c. potentiometer, the reading shows 1.08 V. But when the same voltage is measured using a Permanent Magnet Moving Coil (PMMC) voltmeter, the voltmeter reading shows 0.99 V. If the resistance of the voltmeter is 1100 Ω, the internal resistance of the battery, in Ω, is _________.

Given that, battery reading while measured by using potentiometer = 1.08 V

Open circuit voltage (Voc) = 1.08 V

Reading while measured by using voltmeter = 0.99 V

Resistance of voltmeter = 1100 Ω (Rm)

By using voltage division

\(0.99 = 1.08\left( {\frac{{{R_m}}}{{{R_{in}} + {R_m}}}} \right)\)

\(\Rightarrow 0.99 = 1.08 = \left( {\frac{{1100}}{{{R_{in}} + 1000}}} \right)\)

\(\Rightarrow \frac{{11}}{{12}} = \frac{{1100}}{{{R_{in}} + 1100}}\)

⇒ Rin = 100 Ω
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Important Questions from PMMC Instrument

  1. In a permanent magnet moving coil instrument, the deflecting torque is directly proportional to-

  2. Which of the following types of damping is used in a permanent magnet moving coil instrument?

  3. Which of the following measurement instruments consumes the least amount of energy?

  4. In the below given deflecting torque equation “B” indicates:

    Equation: Deflecting torque = N.B.A.I

  5. Which of the following is the disadvantage of PMMC instruments?

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