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 cur

Question

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 voltages $V_{1}$ and $V_{2}$ (indicated in the circuits) are related as shown in Column I. Match the two columns. [2010]

Smart Achievers · Accepted Answer

(1)

For DC circuit, in steady state, the current $I$ through the capacitor (C) is zero. In case of L-C circuit, the potential difference (V) across the inductor (L) is zero and that across the capacitor = applied potential difference. In case of L-R circuit, = (V) across the inductor (L) = across (R) = applied voltage.

For AC circuit in steady state, $I_{rms}$ current flows through the capacitor (C), inductor (R) and (L) and resistor (R). The potential difference across the resistor, inductor and capacitor $I$ . And for changing current, the potential difference across (V) inductor (L), capacitor (C), or resistor (R) is proportional to the current $(I)$ .

Solution

1 A-r,s,t; B-q,r,s,t; C-p,q; D-q,r,s,t

2 A-q,r,s,t; B-q,r,s,t; C-p,q; D-r,s,t

3 A-q,r,s,t; B-p,q; C-q,r,s,t; D-r,s,t

4 A-p,q; B-q,r,s,t; C-q,r,s,t; D-r,s,t

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