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JEE MainPhysicsCurrent Electricity

A student measures the V-I characteristics of a resistor of true resistance R using a non-ideal voltmeter and a non-ideal ammeter. The student plots the voltmeter reading V on the y -axis and the ammeter reading I on the x -axis. The experiment is performed using two different circuit configurations: Setup I: The voltmeter is connected in parallel across the resistor R , and the ammeter is connected in series with th

Options

  1. Am₂ < R < m₁
  2. BR < m₁ < m₂
  3. Cm₁ = m₂ = R
  4. Dm₁ < R < m₂

Correct answer

D. m₁ < R < m₂

Step-by-step solution

Let the resistance of the non-ideal voltmeter be R_V and that of the non-ideal ammeter be R_A . In Setup I, the voltmeter is in parallel with R . The ammeter measures the total current I which is the sum of the current through R and the current through the voltmeter. Thus, I = V R + V R_V . The slope of the V-I graph is m₁ = V I = R R_V R + R_V . Because this is the equivalent resistance of R and R_V in parallel, m₁ In Setup II, the ammeter is in series with R . The voltmeter measures the total voltage V across the

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