# NCERT solutions for Class 12 Physics Textbook chapter 7 - Alternating Current [Latest edition]

#### Chapters ## Chapter 7: Alternating Current

Exercise
Exercise [Page 266]

### NCERT solutions for Class 12 Physics Textbook Chapter 7 Alternating Current Exercise [Page 266]

Exercise | Q 7.01 | Page 266

A 100 Ω resistor is connected to a 220 V, 50 Hz ac supply.

(a) What is the rms value of current in the circuit?

(b) What is the net power consumed over a full cycle?

Exercise | Q (b) | Page 266

The rms value of current in an ac circuit is 10 A. What is the peak current?

Exercise | Q (a) | Page 266

The peak voltage of an ac supply is 300 V. What is the rms voltage?

Exercise | Q 7.03 | Page 266

A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.

Exercise | Q 7.04 | Page 266

A 60 µF capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit.

Exercise | Q 7.05 | Page 266

What is the net power absorbed by each circuit over a complete cycle. Explain your answer.

Exercise | Q 7.06 | Page 266

Obtain the resonant frequency ωr of a series LCR circuit with L = 2.0 H, C = 32 µF and R = 10 Ω. What is the Q-value of this circuit?

Exercise | Q 7.07 | Page 266

A charged 30 µF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?

Exercise | Q 7.08 | Page 266

Suppose the initial charge on the capacitor is 6 mC. What is the total energy stored in the circuit initially? What is the total energy at later time?

Exercise | Q 7.09 | Page 266

A series LCR circuit with R = 20 Ω, L = 1.5 H and C = 35 µF is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

Exercise | Q 7.1 | Page 266

A radio can tune over the frequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz). If its LC circuit has an effective inductance of 200 µH, what must be the range of its variable capacitor?

[Hint: For tuning, the natural frequency i.e., the frequency of free oscillations of the LC circuit should be equal to the frequency of the radio wave.]

Exercise | Q 7.11 | Page 266

Figure shows a series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80 µF, R = 40 Ω. (a) Determine the source frequency which drives the circuit in resonance.

(b) Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.

(c) Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency.

## Chapter 7: Alternating Current

Exercise ## NCERT solutions for Class 12 Physics Textbook chapter 7 - Alternating Current

NCERT solutions for Class 12 Physics Textbook chapter 7 (Alternating Current) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 12 Physics Textbook solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 12 Physics Textbook chapter 7 Alternating Current are LC Oscillations, Reactance and Impedance, Peak and Rms Value of Alternating Current Or Voltage, Alternating Currents, Power in AC Circuit: the Power Factor, AC Voltage Applied to a Series LCR Circuit, AC Voltage Applied to an Inductor, Representation of AC Current and Voltage by Rotating Vectors - Phasors, AC Voltage Applied to a Resistor, Alternating Currents and Direct Currents, Forced Oscillations and Resonance, AC Voltage Applied to a Capacitor, Transformers.

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