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JEE Advanced2019PhysicsMagnetic Effects of CurrentActual

Two identical moving coil galvanometer have 10 Ω resistance and full scale deflection at 2   μ A current. One of them is converted into a voltmeter of 100 m V full scale reading and the other into an Ammeter of 1 m A full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with R = 1000 Ω resistor by using an ideal cell

Options

  1. AThe resistance of the Voltmeter will be 100 k Ω .
  2. BThe measured value of R will be 978 Ω < R < 982 Ω .
  3. CThe resistance of the Ammeter will be 0.02 Ω (round off to 2 n d decimal place)
  4. DIf the ideal cell is replaced by a cell having internal resistance of 5 Ω then the measured value of R will be

Correct answer

B. The measured value of R will be 978 Ω < R < 982 Ω .

Step-by-step solution

Voltmeter rom galvanometer arrangement. Given: R g = 10 Ω and I g = 2 μ A Required voltage range, V = 100 × 10 - 3 v o l t s ⇒ V = I g R g + R v = 10 - 1 ⇒ 10 - 1 2 × 10 - 6 = R g + R v a s , I g = 2 μ A ⇒ 5 × 10 4 Ω ≈ R v ( R v 10 5 Ω ) ⇒ Option ( A ) is incorrect. Galvanometer to Ammeter arrangement Δ V G = Δ V S I g ⋅ R g = I - I g ⋅ S ⇒ S = I g ⋅ R g I - I g = 2 × 10 - 6 × 10 10 - 3 - 2 × 10 - 6 ⇒ S = 2 × 10 - 5 × 10 3 = 2 × 10 - 2 ⇒ S = 20 m Ω ⇒ ( C ) is correct. Circuit diagram for ohm's law Resistance ammete

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