JEE Advanced · 2010 · 11 Apr 2010 · Paper 2 · Alternating Current

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You are given many resistances, capacitors and inductors. These are connected to a variable DC voltage source (the first two circuits) or an AC voltage source of 50 Hz frequency (the next three circuits) in different ways as shown in Column II. When a current

I

(steady state for DC or rms for AC) flows through the circuit, the corresponding voltage

V_{1}

and

V_{2}

(indicated in circuits) are related as shown in Column I. Match the two

Answer: A → III, A → IV, A → V, B → II, B → III, B → IV, B → V, C → I, C → II, D → II, D → III, D → IV, D → V

Solution

Analyze each circuit:

**(A)

I \neq = 0

V_{1}

proportional to

I

**: Ohmic behavior → resistive circuits (r), (s), (t).

**(B)

I \neq = 0

V_{2} > V_{1}

**: In AC circuits with reactive elements, voltage across reactive components can exceed source voltage → circuits (q), (r), (s), (t).

**(C)

V_{1} = 0

V_{2} = V

**: In steady state DC, capacitor acts as open circuit (no voltage drop across resistor in series) or inductor acts as short circuit → circuits (p), (q).

**(D)

I \neq = 0

V_{2}

proportional to

I

**: Ohmic behavior at

V_{2}

→ circuits (q), (r), (s), (t).

The correct matches are:

(A) → (r), (s), (t)
(B) → (q), (r), (s), (t)
(C) → (p), (q)
(D) → (q), (r), (s), (t)

JEE Advanced · 2010 · 11 Apr 2010 · Paper 2 · Match the columns

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JEE Advanced · 2010 · 11 Apr 2010 · Paper 2 · Alternating Current

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