## ALTERNATING CURRENT QUIZ-1

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q1. An inductive coil has a resistance of 100 Ω. When an ac signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by 45°. What is the inductance of the coil?
•  2 mH
•  3.3 mH
•  16 mH
•  √5 mH
Q2. Fig shows a source of alternating voltage connected to a capacitor and a resistor. Which of the following phasor diagrams correctly describes the phase relationship between IC, the current between the source and the capacitor, and IR, the current in the resistor?
Solution
(a) Since the capacitor is connected in series to the resistor, current IC from the supply and IR through the resistor is in phase as represented by choice (a)

•   (1/√2)a
•  √((3/2)) a
•  √((2/3)) a
•  (1/√3)a

Q4. The value of current in two series LCR circuits at resonance is the same. Then
•  Both circuits must be having the same value of capacitance and inductance
•  In both circuits ratio of L and C will be the same
•  For both the circuits XL/XCmust be the same at that frequency
•  Both circuits must have the same impedance at all frequencies
Solution
(c) X_L=X_C at resonance
X_L/X_C =1 for both circuits
Impedance may be different if the applied voltage is different

Q5. AnLCR circuit contains resistance of 100 Ω and a supply of 200 V at 300 rad angular frequency. If the only capacitance is taken out from the circuit and the rest of the circuit is joined, current lags behind the voltage by 60°. If, on the other hand, only the inductor is taken out the current leads by 60° with the applied voltage. The current flowing in the circuit is
•  1 A
•  1.5 A
•  2 A
•  2.5 A
•  V1
•  V2
•  V3
•  None
Solution

(b) At resonance, the series combination of L and C gives zero impedance. At resonance, the voltage across L and C are equal but opposite in phase
•  V=100 V,I=2 A
•  V=100 V,I=5 A
•  V=1000 V,I=2 A
•  V=300 V,I=1 A
Q8. A capacitor of capacitance 1 μF is charged to a potential of 1V. It is connected in parallel to an inductor of inductance 10-3 H. The maximum current that will flow in the circuit has the value
•  √1000 mA
•  1 mA
•  1 μA
•  1000 mA
Q9. A resistor and a capacitor are connected to an ac supply of 200 V, 50 Hz in series. The current in the circuit is 2 A. If the power consumed in the circuit is 100 W then the resistance in the circuit is
•  100 Ω
•  25 Ω
•  √(125×75) Ω
•  400 Ω
Q10. When an AC source of emf e=E0sin⁡(100t) is connected across a circuit, the phase difference between the emf e and the current i in the circuit is observed to be π/4 , as shown in the diagram. If the circuit consists possibly only of R – C or R – L or L – C in series, find the relationship between the two elements
•  R=1 k Ω,C=10 μF
•  R=1 k Ω,C=1 μF
•  R=1 k Ω,L=10 H
• R=1 k Ω,L=1 H #### Written by: AUTHORNAME

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