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Chapters
2: Mechanical Properties of fluids
3: Kinetic Theory of gases and Radiation
4: Thermodynamics
5: Oscillations
6: Superposition of Waves
7: Wave Optics
8: Electrostatics
9: Current Electricity
10: Magnetic Effect of Electric Current
11: Magnetic materials
12: Electromagnetic Induction
▶ 13: AC Circuits
14: Dual Nature Of Radiation And Matter
15: Structure of Atoms and Nuclei
16: Semiconductors Devices
![SCERT Maharashtra solutions for Physics [English] 12 Standard HSC chapter 13 - AC Circuits - Shaalaa.com](/images/physics-english-12-standard-hsc_6:5f2b1b2038084cf381bfa42c826a928c.jpg "SCERT Maharashtra solutions for Physics [English] 12 Standard HSC chapter 13 - AC Circuits")
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Solutions for Chapter 13: AC Circuits
Below listed, you can find solutions for Chapter 13 of Maharashtra State Board SCERT Maharashtra for Physics [English] 12 Standard HSC.
SCERT Maharashtra solutions for Physics [English] 12 Standard HSC 13 AC Circuits MCQ’S
1 Mark Each
An electric current in an LC – circuit at resonance is called - ______
The wattless current
The displacement current
The idle current
The apparent current
In a series LCR circuit at resonance, the applied emf and current are - ______
Out of phase
Differ in phase by π/4 radian.
Differ in phase by π/2 radian.
In phase
A series LCR resonant circuit is used as ______
A potential divider circuit.
A radio wave transmitter
A source of displacement current
A tunning circuit in a television receiver set.
If AC voltage is applied to a pure capacitor, then the voltage across the capacitor ______
Leads the current by phase angle π rad.
Leads the current by phase π/2 rad.
Lags the current by phase angle π rad.
Lags the current by phase angle π/2 rad.
A parallel LC resonant circuit is used as ______
a tunning circuit in a television receiver set.
a transformer
a rectifier
a filter circuit
An electric bulb operates 10 V d.c. If this bulb is connected to an a.c. source and gives normal brightness, then the peak value of the source is ______
141.4 V
14.14 V
1.414 V
0.1414 V
A coil of resistance 300Ω and inductance 1.0 H is connected across an alternating voltage of frequency `300/(2pi)` Hz, therefore phase difference between the voltage and current in the circuit is ______
180°
90°
45°
0°
SCERT Maharashtra solutions for Physics [English] 12 Standard HSC 13 AC Circuits Very Short Answer
1 Mark Each
Define capacitive reactance.
A charged 10 microfarad capacitor is connected to an 81 mH inductor. What is the angular frequency of free oscillations of the circuit?
State the equation for impedance Z in an A.C. circuit.
In the LCR series circuit, what is the condition for current resonance?
State any one characteristic of a parallel LC AC resonance circuit.
What is the relation between average current and rms current over half cycle?
If the peak value of an alternating emf is 15V, what is its mean value over half cycle?
SCERT Maharashtra solutions for Physics [English] 12 Standard HSC 13 AC Circuits Short Answer I
2 Marks Each
State the average or mean value of an alternating emf? Obtain the expression for it.
Explain term impedance and state the formula for it in the case of an LCR series circuit.
State any two characteristics of a series LCR AC resonance circuit.
In the LCR series circuit, what are the (a) impedance and (b) reactance at current resonance?
A series LCR circuit has resistance 10Ω and reactance is `7sqrt2` Ω. What is the impedance of the circuit?
A coil of resistance 10 Ω and inductance 100mH and a capacitor of variable capacitance are connected across a 20V, 50Hz A.C. supply. At what capacitance will resonance occur?
Find the current in a circuit consisting of a coil and a capacitor in series with an A.C source of 110V (r.m.s.), 60Hz. The inductance of a coil is 0.80 H and its resistance is 50Ω. The capacitance of a capacitor is 8µF.
A 0.5µF capacitor is discharged through a 10 millihenry inductor. Find the frequency of discharge.
What is the capacitive reactance of a capacitor of 5µF at a frequency of (1) 50 Hz and (2) 20KHZ?
SCERT Maharashtra solutions for Physics [English] 12 Standard HSC 13 AC Circuits Short Answer II
3 Marks Each
State the rms value of an alternating current? Write the relation between the rms value and peak value of an alternating current that varies with time.
Explain the term inductive reactance. State its unit and dimensions.
Explain the term capacitive reactance. State its unit and dimensions.
3 Marks Each
What is the inductive reactance of a coil of inductance 10mH at a frequency
- 50 Hz
- 1000 Hz
- 20 kHz?
An alternating emf of 230V, 50Hz is connected across a pure ohmic resistance of 50Ω. Find (1) the current (2) equations for instantaneous values of current and voltage.
A radio can tune over the frequency range of a portion of the MW broadcast band (800kHz -1200kHz). If its LC circuit has an effective inductance of 200mH, what must be the range of its variable condenser?
SCERT Maharashtra solutions for Physics [English] 12 Standard HSC 13 AC Circuits Long Answer
4 Marks Each
Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to an LR circuit.
Obtain the expression for the applied emf and the effective resistance of the circuit when alternating emf is applied to a CR circuit.
Obtain the expression for the resonant frequency of the LCR series circuit and explain electrical resonance in an LCR series circuit.
Solutions for 13: AC Circuits
SCERT Maharashtra solutions for Physics [English] 12 Standard HSC chapter 13 - AC Circuits
Shaalaa.com has the Maharashtra State Board Mathematics Physics [English] 12 Standard HSC Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. SCERT Maharashtra solutions for Mathematics Physics [English] 12 Standard HSC Maharashtra State Board 13 (AC Circuits) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Physics [English] 12 Standard HSC chapter 13 AC Circuits are Different Types of AC Circuits: AC Voltage Applied to a Resistor, Different Types of AC Circuits: AC Voltage Applied to an Inductor, Different Types of AC Circuits: AC Voltage Applied to a Capacitor, AC Circuits, A.C. Generator, Average and RMS Values, Phasors, Power in AC Circuit, LC Oscillations, Electric Resonance, Sharpness of Resonance: Q Factor, Choke Coil, Different Types of AC Circuits: AC Voltage Applied to a Series LCR Circuit.
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