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All questions of Alternating Current for NEET Exam

In an ac circuit an alternating voltage e = 200 √2 sin 100 t volts is connected to a capacitorof capacity 1μF. The r.m.s. value of the currentin the circuit is [2011]
  • a)
    10 mA
  • b)
    100 mA
  • c)
    200 mA
  • d)
    20 mA
Correct answer is option 'D'. Can you explain this answer?

Lalit Yadav answered
given e=200√2​sin100t
ω=100 rad​/sec
Erms​= 200√2​​/√2​
C=1×10−6
Z=Xc​=1/ωC​=1/100×10−6=104Ω
I=Erms​​/Z=(200√2​​​/√2​)/104 =2×10−2A=20mA

The r.m.s. value of potential difference V shown in the figure is [2011M]
  • a)
    V0
  • b)
    V0/√2
  • c)
    V0/2
  • d)
    V0/√3
Correct answer is option 'B'. Can you explain this answer?

Rohit Jain answered
Voltage is given as    V=Vo​   for   0 ≥ t ≤ T/2
                                     =0      for   T/2 ≥ t ≤T
Rms voltage

⟹ Vrms​​=Vo​/√2​

In which of the following, emission of electronsdoes not take place [1990]
  • a)
    thermionic emission
  • b)
    X-rays emission
  • c)
    photoelectric emission
  • d)
    secondary emission
Correct answer is option 'B'. Can you explain this answer?

Thermionic emission : When a metal is
heated to a high temperature, the free
electrons gain kinetic energy and escape
from the surface of the metal.

Secondary emission : When an electron
strikes the surface of a metallic plate, it emits
other electrons from the surface.

Photoelectric emission : Emission of
electrons from the metal surface on irradiation
with radiation of suitable frequency.

X-rays emission : High speed electrons
(emitted from a filament) striking a target
(a copper block) to emit X-rays.

The time constant of C–R circuit is [1992]
  • a)
    1/CR
  • b)
    C/R
  • c)
    CR
  • d)
    R/C
Correct answer is option 'C'. Can you explain this answer?

Arpita Tiwari answered
The time constant for resonance circuit,
C = CR
Growth of charge in a circuit containing
capacitance and resistance is given by the
formula, 
CR is known as time constant in this formula.

Energy in a current carrying coil is stored in theform of   [1988]
  • a)
    electric field
  • b)
    magnetic field
  • c)
    dielectric strength
  • d)
    heat
Correct answer is option 'B'. Can you explain this answer?

Shivani Rane answered
Energy stored in a coil = 
where, L is the self-inductance and i the
current flowing through the inductor. Thus,
energy is stored in the magnetic field of the
coil.

A capacitor has capacity C and reactance X. Ifcapacitance and frequency become double, thenreactance will be [2001]
  • a)
    4X
  • b)
    X/2
  • c)
    X/4
  • d)
    2X
Correct answer is option 'C'. Can you explain this answer?

Ankita Datta answered
Capacitive Reactance

Capacitive Reactance (Xc) is the opposition offered by the capacitor to the flow of current through it and is given by the formula:

Xc = 1/ (2πfC)

where f is the frequency of the alternating current and C is the capacitance of the capacitor.

Doubling of Capacitance and Frequency

If the capacitance and frequency of the circuit are doubled, then the new values of capacitance and frequency will be 2C and 2f respectively.

New Reactance

The new reactance (Xnew) can be calculated by substituting the new values of capacitance and frequency in the formula for capacitive reactance:

Xnew = 1/ (2π x 2f x 2C)

Xnew = 1/ (4πfC)

Comparing old and new reactance

Xnew/Xc = (1/4πfC)/(1/2πfC)

Xnew/Xc = 1/2

Xnew = Xc/2

Therefore, if capacitance and frequency become double, then the reactance will be half its original value. The correct option is (b) X/2.

An LCR series circuit is connected to a source of alternating current. At resonance, the applied voltage and the current flowing through the circuit will have a phase difference of [1994]
  • a)
    π
  • b)
    π/2
  • c)
    π/4
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?

Shruti Chauhan answered
At resonance,  The circuit
behaves as if it contains R only. So, phase
difference = 0
At resonance, impedance is minimum Zmin =
R and current is maximum, given by 
It is interesting to note that before resonance
the current leads the applied emf, at
resonance it is in phase, and after resonance
it lags behind the emf. LCR series circuit is
also called as acceptor circuit and parallel
LCR circuit is called rejector circuit.

A coil of 40 henry inductance is connected inseries with a resistance of 8 ohm and thecombination is joined to the terminals of a 2 voltbattery. The time constant of the circuit is    [2004]
  • a)
    20 seconds
  • b)
    5 seconds
  • c)
    1/5 seconds
  • d)
    40 seconds
Correct answer is option 'B'. Can you explain this answer?

Given:
Inductance of coil, L = 40 H
Resistance, R = 8Ω
Battery voltage, V = 2V
Time constant, τ = ?
Formula used:
Time constant of RL circuit = L/R
Calculation:
Time constant, τ = L/R = 40/8 = 5 seconds
Therefore, the correct option is (b) 5 seconds.

A step-up transformer operates on a 230 V lineand supplies a load of 2 ampere. The ratio of theprimary and secondary windings is 1 : 25. Thecurrent in the primary is [1998]
  • a)
    25 A
  • b)
    50 A
  • c)
    15 A
  • d)
    12.5 A
Correct answer is option 'B'. Can you explain this answer?

Gowri Menon answered
Given data:
Primary voltage (V1) = 230 V
Secondary current (I2) = 2 A
Turns ratio (N2/N1) = 25

We know that,
V1/V2 = N1/N2 (Voltage ratio equation)

Substituting the given values,
230/V2 = 1/25

V2 = 230 x 25 = 5750 V

We also know that,
I1/I2 = N2/N1 (Current ratio equation)

Substituting the given values,
I1/2 = 25/1

I1 = 50 A

Therefore, the current in the primary is 50 A.

The core of a transformer is laminated because        [2006]
  • a)
    the weight of the transformer may bereduced
  • b)
    rusting of the core may be prevented
  • c)
    ratio of voltage in primary and secondarymay be increased
  • d)
    energy losses due to eddy currents may beminimised
Correct answer is option 'D'. Can you explain this answer?

Diya Datta answered
When there is change of flux in the core of a
transformer due to change in current around
it, eddy current is produced. The direction
of this current is opposite to the current
which produces it, so it will reduce the main
current. We laminate the core so that flux is
reduced resulting in the reduced production
of eddy current.

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