Electromagnetic Induction and Alternating Currents — practice questions

98 curated practice questions from Electromagnetic Induction and Alternating Currents (Physics JEE Advanced, NTA Exams) — 59 hard, 39 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.

Determine the rms value of a semi-circular current wave which has a maximum value of a.
In the circuit shown, L = 1 μH, C = 1 μF and R = 1 kΩ. They are connected in series with an a.c. source V = V 0 sin ω t…
In the circuit shown below, the key is pressed at time t = 0 . Which of the following statement(s) is(are) true?
Figure shows a rectangular coil near a long wire. Calculate the mutual inductance of the combination is
In the given circuit the capacitor (C) may be charged through resistance R by battery V by closing switch S_ 1 . Also…
The magnetic flux (f) linked with a coil depends on time t as φ = at n , where a is a constant. The induced e.m.f. in…
A region in the form of an equilateral triangle (in x - y plane) of height L has a uniform magnetic field pointing in…
The magnetic field within a long, straight solenoid with a circular cross section and radius R is increasing at a rate…
The voltage time (V–t) graph for triangular wave having peak value. V 0 is as shown in figure The rms value of V in…
Figure (i) shows a conducting loop being pulled out of a magnetic field with a speed v . Which of the four plots shown…
Two coils have a mutual inductance 0.005 H . The current changes in the first coil according to equation I = I 0 sin…
An inductor of inductance L = 400 mH and resistors of resistances R 1 = 4Ω and R 2 = 2Ω are connected to battery of emf…
A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails…
A coil of inductance 1H and resistance 10 Ω is connected to a battery of emf 50 V (negligible internal resistance) at t…
A physicist works in a laboratory where the magnetic field is 2 T . She wears a necklace enclosing area 0.01 m 2 in…
A coil of inductance 8.4 mH and resistance 6 Ω is connected to a 12 V battery. The current in the coil is 1.0 A at…
A resistance of 20 Ω is connected to a source of an alternating potential V = 220 sin (100 π t). The time taken by the…
A series R-C circuit is connected to AC voltage source. Consider two cases; ( A ) when C is without a dielectric medium…
A source of constant voltage V is connected to a resistance R and two ideal inductors L 1 and L 2 through a switch S as…
A highly conducting ring of radius R is perpendicular to and concentric with the axis of a long solenoid as shown in…
An e.m.f. of 15 volt is applied in a circuit containing 5 henry inductance and 10 ohm resistance. The ratio of the…
In the circuit shown E = 120 V, R 1 = 30.0 Ω, R 2 = 50.0 Ω and L = 0.200 H. Switch S is closed at t = 0 . Just after…
A small square loop of wire of side l is placed inside a large square loop of wire of side L(L>>l). The loops are…
At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I (…
Switch S of the circuit shown in figure is closed at t = 0. If e denotes the induced e.m.f. in L and I is the current…
The magnetic field within a long, straight solenoid with a circular cross section and radius R is increasing at a rate…
A circular conducting loop of radius r 0 and having resistance per unit length λ as shown in the figure is placed in a…
A conducting rod of length 2 l is rotating with constant angular speed ω about its perpendicular bisector. A uniform…
The resistance in the following circuit is increased at a particular instant. At this instant the value of resistance…
The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular…
A loop is formed by two parallel conductors connected by a solenoid with inductance L and a conducting rod of mass M…
Two conducting circular loops of radii R 1 and R 2 are placed in the same plane with their centres coinciding. If R 1…
A metallic square loop ABCD is moving in its own plane with velocity v in a uniform magnetic field perpendicular to its…
A thin semicircular conducting ring of radius R is falling with its plane vertical in horizontal magnetic induction At…
A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away…
Figure shows a circuit in which two inductors of 3 H and 6 H are connected in parallel. These are connected to a 18…
The current in a LR circuit builds up to 3 4 h of its steady state value in 4s. The time constant of this circuit is
A conductor ABOCD moves along its bisector with a velocity of 1 m/s through a perpendicular magnetic field of 1 wb / m…
In the figure shown R is a fixed conducting ring of negligible resistance and radius ‘a’. PQ is a uniform rod of…
Some magnetic flux is changed from a coil of resistance 10 ohm . As a result an induced current is developed in it…
A metal rod moves at a constant velocity in a direction perpendicular to its length. A constant, uniform magnetic field…
A circular insulated copper wire loop is twisted to form two loops of area A and 2 A as shown in the figure. At the…
If B and E denote induction of magnetic field and energy density at the midpoint of a long solenoid carrying a current…
A conducting square loop initially lies in the XZ plane with its lower edge hinged along the X -axis. Only in the…
A conducting wire of parabolic shape, y = x 2 , is moving with velocity V =V_ 0 i in a non-uniform magnetic field B =B_…
A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two…
In the circuit shown in figure, X is joined to Y for a long time and then X is joined to Z. The total heat produced in…
A wire of length 1 m is moving at a speed of 2 ms –1 perpendicular to its length and a homogeneous magnetic field of…
A point charge Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity w . This can be…
The instantaneous voltages at three terminals marked X , Y and Z are given by V X = V 0 sin ω t , V Y = V 0 sin ( t+ 2…
A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the 90° vertex is…
In an ac circuit shown below in figure, the supply voltage has a constant rms value V but variable frequency f. At…
If L, C, R represent inductance, capacitance and resistance respectively, the combinations having dimensions of…
A light disc made of aluminium (a non-magnetic material) is kept horizontally and is free to rotate about its axis as…
Two identical circular loop of metal wire are lying on a table without touching each other. Loop A carries a current…
The uniform magnetic field perpendicular to the plane of a conducting ring of radius a changes at the rate of α, then
A small bar magnet is being slowly inserted with constant velocity inside a solenoid as shown in figure. Which graph…
When an AC source of emf ε = E 0 sin(100 t ) is connected across a circuit, the phase difference between the emf e and…
Two different coils have self-inductances L 1 = 8 mH and L 2 = 2 mH. The current in one coil is increased at a constant…
An inductor of 2 henry and a resistance of 10 ohms are connected in series with a battery of 5 volts . The initial rate…
A coil has an inductance of 0.7 H and is joined in series with a resistance of 220 Ω . When an alternating emf of 220 V…
A rectangular loop with a sliding connector of length l = 1.0 m is situated in a uniform magnetic field B = 2 T…
A conducting ring of radius 1 meter is placed in a uniform magnetic field B of 0.01 Telsa oscillating with frequency…
Two circular coils can be arranged in any of the three situations shown in the figure. Their mutual inductance will be
A conducting square loop of side L , mass M and resistance R is moving in the XY plane with its edges parallel to the X…
A uniform but time-varying magnetic field B ( t ) exists in a circular region of radius a and is directed into the…
Two concentric and coplanar coils have radii a and b (>>a) as shown in figure. Resistance of the inner coil is R…
Two different coils have self inductance L 1 = 8 mH, L 2 = 2 mH. The current in one coil is increased at a constant…
Figure shows a circuit in which two inductors of 3 H and 6 H are connected in parallel. These are connected to a 18…
The SI unit of inductance, the henry can be written as
How much length of a very thin wire is required to obtain a solenoid of length l 0 and inductance L
A flexible wire bent in the form of a circle is placed in a uniform magnetic field perpendicular to the plane of the…
A conductor of length l and mass m can slide without any friction along the two vertical conductors connected at the…
In the circuit shown in figure, X is the joined to Y for a long time and then X is joined to Z. The total heat produced…
The power factor of an AC circuit having resistance ( R ) and inductance ( L ) connected in series and an angular…
An AC voltage source of variable angular frequency w and fixed amplitude V 0 is connected in series with a capacitance…
In the given circuit, the AC source has w = 100 rad/s. Considering the inductor and capacitor to be ideal, the correct…
Figure shows a circuit in which two inductors of 3 H and 6 H are connected in parallel. These are connected to a 18…
Plane figures made of thin wires of resistance R = 50 milli ohm / metre are located in a uniform magnetic field…
A conducting rod of length l is hinged at point O. It is free to rotate in a vertical plane. There exists a uniform…
In a series LCR circuit the voltage across the resistance, capacitance and inductance is 10 V each. If the capacitance…
Two metallic rings A and B , identical in shape and size but having different resistivities ρ A and ρ B , are kept on…
The length of a wire required to manufacture a solenoid of length l and self induction L is (cross-sectional area is…
Shown in the figure is a circular loop of radius r and resistance R . A variable magnetic field of induction B = B 0 e…
A shown in the figure, P and Q are two coaxial conducting loops separated by some distance. When the switch S is…
A wire loop enclosing a semicircle of radius R is located on the boundary of a uniform magnetic field B. At the moment…
Two identical circular loops of metal wire are lying on a table without touching each other. Loop- A carries a current…
A conducting square loop of tabular |l|l|l| 3 |c| ⊗ & ⊗ல & QO & & － 00 808 & & ⊕ & & ✓ 86 ⊗৫日 & & 目日 C & & ⊗७Q & & & &…
An ac is given by equation I = I 1 cos ω t + I 2 sin ω t. The rms value of current is given by :
A thin circular ring of area A is held perpendicular to a uniform magnetic field of induction B . A small cut is made…
What is the mutual inductance of a two-loop system as shown with centre separation l
A direct current of 5 A a superimposed on an alternating current I = 10 sin ωt flowing through a wire. The effective…
A 50 volt potential difference is suddenly applied to a coil with L = 5 × 10 –3 h bmenry and R = 180 ohm. The rate of…
A rectangular loop with a sliding conductor of lenght l is located in a uniform magnetic field perpendicular to the…
A small square loop of wire side l is placed inside a large square loop of wire of side L ( L >> l ). The loops are…
Two straight conducting rails form a right angle where their ends are joined. A conducting bar in contact with the…
A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v = 2 m/s in a uniform magnetic field B = 4.0 T…
In the given figure, the switches S 1 and S 2 are closed simultaneously at t = 0 and a current starts to flow in the…

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