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The full-scale deflection current of an ammeter is 1 mA and its internal resistance is 100 Ohm. This is to have full deflection when 100 V…

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The full-scale deflection current of an ammeter is 1 mA and its internal resistance is 100 Ohm. This is to have full deflection when 100 V is measured. What is the value of series resistor to be used?
  • A99.9 K ohms
  • B100 K ohms
  • C99.99 ohms
  • D100 ohms
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Given that, full scale deflection of ammeter (Im) = 1 mA

Internal resistance (Rm) = 100 ohms

Voltage (Vm) = 1 × 10-3 × 100 = 0.1 V

Required full deflection (V) = 100 V

Series resistance $({R_{se}} = {R_m}\left( {\frac{V}{{{V_m}}} - 1} \right) = 100\left( {\frac{{100}}{{0.1}} - 1\;} \right) = 99.99\;k{\rm{\Omega }})$