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The energy stored in an inductor of self inductance Lhenry carrying a current of 1 A is
A rectangular loop has a sliding connector PQ of lengthI and resistance RΩ and it is moving with a speed v asshown. The set-up is placed in a uniform magnetic fieldgoing into the plane of the paper. The three currents I1, I2, I are
When a rod of length I is rotated with angular velocityof w in a perpendicular field of induction B, about oneend, the emf across its ends is
The oscillating frequency of a cyclotron is 10 MHz. Ifthe radius of its dees is 0.5m, the kinetic energy of aproton, which is accelerated by the cyclotron is
According to phenomenon of mutual inductance
A small square loop of wire of side I is placed inside alarge square loop of side L (L>>I). If the loops arecoplanar and their centres coincide, the mutual inductionof the system is directly proportional to
A rod PQ is connected to the capacitor plates. The rodis placed in a magnetic field (B) directed downwardsperpendicular to the plane of the paper. If the rod ispulled out of magnetic field with velocity as shown in Fig.
A flexible wire bent in the form of a circle is place in a uniform magnetic field perpendicularly to the plane of the coil. The radius of the coil changes as shown in Fig. The graph of magnitude of induced emf in the coil is represented by
A thin circular ring of area A is perpendicular to uniformmagnetic field of induction B. A small cut is made inthe ring and a galvanometer is connected across theends such that the total resistance of circuit is R. Whenthe ring is suddenly squeezed to zero area, the chargeflowing through the galvanometer is
A conducting wire xy of lengthi and mass m is slidingwithout friction on vertical conduction rails ab and cdas shown in Fig. A uniform magnetic field B exists perpendicular to the plane of the rails, x moves with aconstant velocity of
A conducting wire of mass m slides down two smooth conducting bars, set at an angle q to the horizontal as shown in Fig. The separation between the bars isi .The system is located in the magnetic field B,perpendicular to the plane of the sliding wire and bars.The constant velocity of the wire is
Magnetic flux linked with a stationary loop of resistanceR varies with respect to time during the time period Tas follows The amount of heat generated in the loop during that time (inductance of the coil is negligible) is
An elasticized conducting band is around a sphericalballon. Its plane passes through the centre of theballoon. A uniform magnetic field of magnitude 0.04 T isdirected perpendicular to the plane of the band. Air islet one of the ballon at 100 cm3/s at an instant when the radius of the ballon is 10 cm. The induced emf inthe band is
A uniform magnetic field of induction B fills a cylindricalvolume of radius R,A rod AB of length 2i is placed asshown in Fig. If B is changing at the rate dB/dt, the emfthat is produced by the changing magnetic field andthat acts between the ends of the rod is
Change Q is uniformly distributed on a thin insulatingring of mass m which is initially at rest. To what angularvelocity will the ring be accelerated when a magneticfield B, perpendicular to the plane of the ring, is switched on?
A vertical ring of radius r and resistance R falls vertically.it is in contact with two vertical rails which are joined atthe top. The rails are without friction and resistance.There is a horizontal uniform magnetic field of magnitudeB perpendicular to the plane of the ring and the rails.When the speed of the ring is v, the current in the tophorizontal of the rail section is
A metal disc of radius a rotates with a constant angular velocity w about its axis. The potential difference between the centre and the rim of the disc is (m =mass of electron, e = charge on electron)
The radius of the circular conducting loop shown in Fig.is R. Magnetic field is decreasing at a constantrate a .Resistance per unit length of the loop is ρ .Then, the current in wire AB is (AB is one of the diameters)
A long conducting wire AH is moved over a conductingtriangular wire CDE with a constant velocity v in a uniformmagnetic field Bur directed into the plane of the paper.Resistance per unit length of each wire is ρ. Then
A square coil ACDE with its plane vertical is releasedfrom rest in a horizontal uniform magnetic field of length 2 L (Fig). The acceleration of the coil is
The current through the coil in Fig. (i) varies as shown in Fig. (ii). Which graph best shows the ammeter A reading as a function of time?
In Fig. there is a conducting ring having resistance Rplaced in the plane of paper in a uniform magnetic field B0. If the ring is rotating in the plane of paper about anaxis passing through point O and perpendicular to theplane of paper with constant angular speed ω in clockwise direction, then
There is a uniform magnetic field B in a circular regionof radius R as shown in Fig. Whose magnitude changesat the rate of dB/dt. The e.m.f. induced across the endsof a circular concentric conducting are of radius R1 having an angle q as shown is
In Fig. a square loop PQRS of side a and resistance ris placed near an infinitely long wire carrying a constantcurrent I. The sides PQ and RS are parallel to the wire.The wire and the loop are in the same plane. The loopis rotated by 1800 about an axis parallel to the long wireand passing through the mid-points of the sides QR and PS. The total amount of charge which passesthrough any point of the loop during rotation is
Loop A of radius r << R moves towards loop B with aconstant velocity V in such a way that their planes arealways parallel. What is the distance between the two loops (x) when the induced emf in loop A is maximum?