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12th Physics Monthly Test - 3 ( Electromagnetic Induction And Alternating Current )

St. Britto Hr. Sec. School - Madurai

12th Physics Monthly Test - 3 ( Electromagnetic Induction And Alternating Current )-Aug 2020

Time : 2.30 Hours

Part - A

Generic 2 - Answer All Question

Does the current in an a.c circuit lag lead or remain in phase with the applied voltage. When
(i)  γ =  γ_r
(ii)  γ <  γ_r
(iii)  γ >  γ_r
Where γ_r is the resonant frequency?

What are phasors?

Define average value of an alternating current.

What is meant by wattles current?

What is phasort

State the law that gives the polarity of the induced emf.

Mention the ways of producing induced emf.
How will you define Q-factor?

What are step-up and step-down transformers?

Define Magnetic Flux.

When does the phenomenon of resonance is possibble in the circuit?

State Lenz’s law.

What for an inductor is used? Give some examples.

Write the application of series RLC resonant circut
State Faraday’s laws of electromagnetic induction.

What are LC oscillations?

A rectangular loop of wire is moved within the region of a uniform magnetic field acting perpendicular to its plane. What is the direction and magnitude of current induced in it?

Part - B

Generic 3 - Answer All Question

What is impedance? When does LCR circuit have minimum impedance?

Compare the electromagnetic oscillations of LC circuit with the mechanical oscillations of block-spring system to find the expression for angular frequency of LC oscillators mathematically.

What is the phase relation between current and emf in an AC circuit containing a cpacitor only? Sketch a graph showing the variation the reactance of a capacitor with frequency.

Assuming that the length of the solenoid is large when compared to its diameter, find the equation for its inductance

Show mathematically that the rotation of a coil in a magnetic field over one rotation induces an alternating emf of one cycle.

Establish the fact that the relative motion between the coil and the magnet induces an emf in the coil of a closed circuit.

A straight conducting wire is dropped horizontally from a certain height with its length along east – west direction. Will an emf be induced in it? Justify your answer.

Derive an expression for phase angle between the applied voltage and current in a series RLC circuit.

Give the advantage of AC in long distance power transmission with an example.
An inductor of inductance L carries an electric current i. How much energy is stored while establishing the current in it?

Define power factor, what are the maximum and minimum values of power to circuit.

Part - C

Generic 5 - Answer All Question

Two air core solenoids have the same length of 80 cm and same cross–sectional area 5 cm². Find the mutual inductance between them if the number of turns in the first coil is 1200 turns and that in the second coil is 400 turns.

Find the impedance of a series RLC circuit if the inductive reactance, capacitive reactance and resistance are 184 Ω, 144 Ω and 30 Ω respectively. Also calculate the phase angle between voltage and current.

A closely wound coil of radius 0.02 m is placed perpendicular to the magnetic field. When the magnetic field is changed from 8000 T to 2000 T in 6 s, an emf of 44 V is induced. Calculate the number of turns in the coil.

An ideal transformer has 460 and 40,000 turns in the primary and secondary coils respectively. Find the voltage developed per turn of the secondary if the transformer is connected to a 230 V AC mains. The secondary is given to a load of resistance 104 Ω. Calculate the power delivered to the load.

A long solenoid having 400 turns per cm carries a current 2A. A 100 turn coil of cross-sectional area 4 cm² is placed co-axially inside the solenoid so that the coil is in the field produced by the solenoid. Find the emf induced in the coil if the current through the solenoid reverses its direction in 0.04 sec.

Explain how power can be transmitted efficiently to long distance.

Find out the phase relationship between voltage and current in a pure inductive circuit.

Write down the equation for a sinusoidal voltage of 50 Hz and its peak value is 20 V. Draw the corresponding voltage versus time graph.
Define Power in AC circuits? Derive an relation between true power & virtual power?

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