## 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. In the circuit shown in Fig, R is a pure resistor, L is an inductor of negligible resistance (as compared to R), S is a 100 V, 50 Hz ac source of negligible resistance. With either key K1 alone or K2 alone closed, the current isI0. If the source is changed to 100 V, 100 Hz the current with K1 alone closed and with K2 alone closed will be respectively
•  I0,I2/2
•  I0,2I0
•  2I0,I0;
•  2I0,I0/2
Solution
(a) Current remains unchanged in R. However, it becomes half in L, because reactance is doubled on doubling the frequency.

Q2. The circuit given in Fig has a resistance less choke coil L and a resistance R. The voltage across R and L are given in Fig. The virtual of the applied voltage is?
•  100 V
•  200 V
•  300 V
•  400 V
Solution
(b) Ev=√(1202+1602 )=200 V

Q3. If i1=3 sin⁡Ï‰t and i2=4 cos⁡Ï‰t, then i3 is
•  5 sin⁡(Ï‰t+53°)
•  5 sin⁡(Ï‰t+37°)
•  5 sin⁡(Ï‰t+45°)
•  5 sin⁡(Ï‰t+53°)
Solution

Q4. A coil has an inductance of 0.7 H and is joined is series with a resistance of 220 Î©. When an alternating emf of 220 V at 50 cps is applied to it, then the wattles component of the current in the circuit is (take 0.7Ï€=2.2)
•  5 A
•  0.5 A
•  0.7 A
•  7 A
Solution

Q5. In the above question, the average value of voltage (V) in one time period will be
•  V0/√3
•  V0/2
•  V0/√2
•  0
Solution

Q6. A series R-C circuit is connected to AC Voltage source. Consider two cases: A when C is without a dielectric medium and B when C is filled with dielectric of constant 4. The current IR through the resistor and voltage Vc across the capacitor are compared in the two cases. Which of the following is/are true?
•  IRA>IRB
•  IRA < IRB
•  VCA>VCB
•  VCA < VcB
Solution

Q7. A transmitter transmits at a wavelength of 300 m. A condenser of capacitance 2.4 Î¼ F is being used. The value of the inductance for the resonant circuit is approximately
•  10-4 H
•  10-6 H
•  10-8 H
•  10-10 H
Solution

Q8. If the total charge stored in the LC circuit is Q0, then for t≥0
•  The charge on the capacitor is Q=Q0 cos⁡(Ï€/2+t/√LC)
•  The charge on the capacitor is Q=Q0 cos⁡(Ï€/2-t/√LC)
•  The charge on the capacitor is Q=-LC (d2 Q)/(dt2)
•  The charge on the capacitor is Q=1/√LC (d2 Q)/(dt2)
Solution
(c)

Q9. A 4Î¼F capacitor, a resistance of 2.5 mÎ© is in series with 12 V battery. Find the the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor. [Given ln (2)=0.693]
•  13.86s
•  6.93s
•  7s
•  14s
Solution

Q10. In an R-C circuit while charging, the graph of lnI versus time is as shown by the dotted line in the adjoining diagram where I is the current. When the value of the resistance is doubled, which of the solid curves best represents the variation of ln I versus time?

•  P
•  Q
•  R
•  S
Solution

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