## ALTERNATING CURRENT QUIZ-7

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 ac is given by equation I=I1 cos⁡Ï‰t+I2 sin⁡Ï‰t. The rms value of current is given by
•
•
•
•
Solution

Q2. A resistance of 20 Î© is connected to a source of an alternating potential V=220 sin⁡(100 Ï€t). The time taken by the current to change from the peak value to rms value, is
•  0.2 s
•  0.25 s
•  7.5×10(-3) C
•  2.5×10(-3) C
Solution

Q3. In the circuit given in Fig VC=50 V and R=50 Î©. The values of C and VR are
•  3.3 mF,60 V
•  104 Î¼F,98 V
•  52 Î¼F,98 V
•  2 Î¼F,60 V
Solution

Q4. In a black box of unknown elements (L or R or any other combination), an ac voltage E=E0 sin⁡(Ï‰t+Ï•) is applied and current in the circuit was found to be I=I0 sin⁡[Ï‰t+Ï•+(Ï€/4)]. Then the unknown elements in the box may be?
•  Only capacitor
•  Inductor and resistor both
•  Either capacitor, resistor and inductor or only capacitor and resistor
•  Only resistor
Solution

Q5. If a direct current of value a ampere is superimposed on an alternative current I=b sin⁡Ï‰t flowing through a wire, what is the effective value of the resulting current in the circuit?
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•
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Solution

Q6. In the circuit shown in Fig, the rims currents I1,I2 and I3 are altered by varying the frequency f of the oscillator. The output voltage of the oscillator remains sinusoidal and has a fixed amplitude. Which curves in figure correctly indicate the variation with frequency of the currents I1,I2,and I3?
•  Q Q Q
•  R Q Q
•  Q P R
•  Q R P
Solution
Q7. A sinusoidal alternating current of peak value I0 passes through a heater of resistance R. What is the mean power output of the heater?
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•
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Solution

Q8. In the above question, the capacitive reactance in the circuit is
Solution

Q9. An ideal choke takes a current of 10 A when connected to an ac supply of 125 V and 50 Hz. A pure resistor under the same conditions takes a current of 12.5 A. If the two are connected to an ac supply of 100 V and 40 Hz, then the current in series combination of above resistor and inductor is
•  10/√2 A
•  12.5 A
•  20 A
•  10 A
Solution

Q10. Current in an ac circuit is given by I=3 sin⁡Ï‰t+4 cos⁡Ï‰t, then
•  rms value of current is 5 A
•  Mean value of this current in any one half period will be 6/Ï€
•  If voltage applied is V=Vm sin⁡Ï‰t, then the circuit may be containing resistance and capacitance only
•  If voltage applied is V=Vm sin⁡Ï‰t, the circuit may contain resistance and inductace only
Solution

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