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Alternating Current EXERCISES Solutions
- Q7.1(a): A $100 \Omega$ resistor is connected to a $220 V$, $50 Hz$ ac supply. (a) What is the rms value of current in the circuit?
- Q7.1(a): A (100 \Omega) resistor is connected to a 220 V, 50 Hz ac supply. What is the rms value of current in the circuit?
- Q7.1(b): A $100 \Omega$ resistor is connected to a $220 V$, $50 Hz$ ac supply. (b) What is the net power consumed over a full cycle?
- Q7.1(b): A (100 \Omega) resistor is connected to a 220 V, 50 Hz ac supply. What is the net power consumed over a full cycle?
- Q7.10: 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 (\mu H), 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 radiowave.]
- Q7.11(a): Figure 7.21 shows a series LCR circuit connected to a variable frequency 230 V source. (L = 5.0 H), (C = 80\mu F), (R = 40 \Omega). Determine the source frequency which drives the circuit in resonance.
- Q7.11(b): Figure 7.21 shows a series LCR circuit connected to a variable frequency 230 V source. (L = 5.0 H), (C = 80\mu F), (R = 40 \Omega). Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.
- Q7.11(c): Figure 7.21 shows a series LCR circuit connected to a variable frequency 230 V source. (L = 5.0 H), (C = 80\mu F), (R = 40 \Omega). 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.
- Q7.2(a): (a) The peak voltage of an ac supply is $300 V$. What is the rms voltage?
- Q7.2(a): The peak voltage of an ac supply is 300 V. What is the rms voltage?
- Q7.2(b): (b) The rms value of current in an ac circuit is $10 A$. What is the peak current?
- Q7.2(b): The rms value of current in an ac circuit is 10 A. What is the peak current?
- Q7.3: A $44 mH$ inductor is connected to $220 V$, $50 Hz$ ac supply. Determine the rms value of the current in the circuit.
- Q7.3: A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of the current in the circuit.
- Q7.4: A $60 \mu F$ capacitor is connected to a $110 V$, $60 Hz$ ac supply. Determine the rms value of the current in the circuit.
- Q7.4: A 60 (\mu F) capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit.
- Q7.5: A 44 mH inductor is connected to 220 V, 50 Hz ac supply. A 60 mF capacitor is connected to a 110 V, 60 Hz ac supply. what is the net power absorbed by each circuit over a complete cycle. Explain your answer.
- Q7.5: What is the net power absorbed by each circuit over a complete cycle. Explain your answer.
- Q7.6: A charged $30 \mu F$ capacitor is connected to a $27 mH$ inductor. What is the angular frequency of free oscillations of the circuit?
- Q7.6: Obtain the resonant frequency (\omega_{r}) of a series LCR circuit with (L = 2.0H), (C = 32 \mu F) and (R = 10 \Omega). What is the Q-value of this circuit?
- Q7.7: A series LCR circuit with $R = 20 \Omega$, $L = 1.5 H$ and $C = 35 \mu F$ 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?
- Q7.7: A charged 30 (\mu F) capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?
- Q7.8: 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?
- Q7.8(a): Figure 7.17 shows a series LCR circuit connected to a variable frequency $230 V$ source. $L = 5.0 H$, $C = 80\mu F$, $R = 40 \Omega$. (a) Determine the source frequency which drives the circuit in resonance.
- Q7.8(b): Figure 7.17 shows a series LCR circuit connected to a variable frequency $230 V$ source. $L = 5.0 H$, $C = 80\mu F$, $R = 40 \Omega$. (b) Obtain the impedance of the circuit and the amplitude of current at the resonating frequency.
- Q7.8(c): Figure 7.17 shows a series LCR circuit connected to a variable frequency $230 V$ source. $L = 5.0 H$, $C = 80\mu F$, $R = 40 \Omega$. (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.
- Q7.9: A series LCR circuit with (R = 20 \Omega), (L = 1.5 H) and (C = 35 \mu F) 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?
Chapters in CBSE - Class 12 Physics
- Electric Charges and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Electromagnetic Waves
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics
- Communication Systems
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