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A moving coil instrument gives full scale deflection with a current of 100 mA when thepotential difference across its terminals is 50 mV. Calculate the shunt resistance to enablethe instrument to read upto 100 A
  • a)
    10 ohm
  • b)
    8 ohm
  • c)
    6 ohm
  • d)
    5.005 × 10–4ohm
Correct answer is option 'D'. Can you explain this answer?
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Calculation of Shunt Resistance for a Moving Coil Instrument

To calculate the shunt resistance required for the moving coil instrument, we need to use the formula:

Rshunt = (Ifs * Vfs) / (Im - Ifs)

Where:
Rshunt = Shunt resistance
Ifs = Full scale deflection current of the instrument (100 mA)
Vfs = Full scale deflection potential difference across the terminals of the instrument (50 mV)
Im = Maximum current to be measured (100 A)

Now, let's substitute the given values into the formula:

Rshunt = (0.1 A * 0.05 V) / (100 A - 0.1 A)
Rshunt = 0.005 V A / 99.9 A
Rshunt = 5.005 x 10^-5 ohm

Therefore, the shunt resistance required to enable the instrument to read up to 100 A is approximately 5.005 x 10^-5 ohm, which corresponds to option 'D'.
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A moving coil instrument gives full scale deflection with a current of 100 mA when thepotential difference across its terminals is 50 mV. Calculate the shunt resistance to enablethe instrument to read upto 100 Aa)10 ohmb)8 ohmc)6 ohmd)5.005 × 10–4ohmCorrect answer is option 'D'. Can you explain this answer?
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