Electromagnetic Induction and Alternating Current 6 Question 8

####8. 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 50Hz 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 V1 and V2 (indicated in circuits) are related as shown in Column I.

(2010)

I0,V1 is proportional to I (p)

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Answer:

Correct Answer: 8. Ar,s,t;Bq,r,s,t;Cq,p;Dq,r,s,t

Solution:

  1. In circuit (p) I can’t be non zero in steady state.

In circuit (q) V1=0 and V2=2I=V (also)

In circuit (r) V1=XLI=(2πfL)I

=(2π×50×6×103)I=1.88IV2=2I

In circuit (s) V1=XLI=1.88I

V2=XCI=12πfCI=12π×50×3×106I=(1061)I

In circuit (t)

V1=IR=(1000)IV2=XCI=(1061)I

Therefore, the correct options are as under

(A) r,s,t

(B) q,r,s,t

(C) q or p,q

(D) q,r,s,t



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