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162.A moving coil instrument gives full scale deflection with a current of 100 mA when the potential difference across its terminals is 50mV. Calculate the shunt resistance to enable the 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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Given:
Current for full scale deflection (I_fsd) = 100mA
Potential difference for full scale deflection (V_fsd) = 50mV
Maximum current to be measured (I_max) = 100A

To measure high currents with a moving coil instrument, shunt resistance is connected in parallel with the instrument. The shunt resistance diverts a fraction of the total current to pass through it, and the remaining current passes through the instrument. The instrument measures the voltage drop across its terminals, which is proportional to the current passing through it.

The shunt resistance (R_shunt) is calculated using the formula:

I_max = I_fsd * (V_fsd / (V_fsd + V_shunt))

Where V_shunt is the voltage drop across the shunt resistance.

Solving for R_shunt:

R_shunt = (V_fsd + V_shunt) / I_max = V_shunt / (I_max - I_fsd)

Substituting the given values:

R_shunt = 50mV / (100A - 100mA) = 5.005 x 10^-4 ohm

Therefore, the shunt resistance required to enable the instrument to read up to 100A is 5.005 x 10^-4 ohm.

Answer: (D) 5.005 x 10^-4 ohm
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162.A moving coil instrument gives full scale deflection with a current of 100 mA when the potential difference across its terminals is 50mV. Calculate the shunt resistance to enable the 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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162.A moving coil instrument gives full scale deflection with a current of 100 mA when the potential difference across its terminals is 50mV. Calculate the shunt resistance to enable the 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? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 162.A moving coil instrument gives full scale deflection with a current of 100 mA when the potential difference across its terminals is 50mV. Calculate the shunt resistance to enable the 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? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 162.A moving coil instrument gives full scale deflection with a current of 100 mA when the potential difference across its terminals is 50mV. Calculate the shunt resistance to enable the 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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