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PRACTICE / Galvanometer conversion and sensitivity

Leave the coil only its rated current

A galvanometer has resistance 100 Ω and full-scale current 1.0 mA. A parallel shunt converts it into an ammeter with total full-scale current 1.0 A.

Which expression gives the exact shunt resistance under this ideal model?

Organize the givens & assumptions
  • Rg = 100 Ω
  • Ig = 0.001 A
  • Target total current I = 1.0 A

Ideal resistive branches; coil current is exactly 1.0 mA at the desired full-scale total current; neglect heating changes.

  1. A99900 Ω99900\ \Omega
  2. B100999 Ω\frac{100}{999}\ \Omega
  3. C0.1 Ω0.1\ \Omega
  4. D100 Ω100\ \Omega

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