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A uniform magnetic field of 1.5 T exists in a cylindrical region of radius10.0 cm, its direction parallel to the axis along east to west. A wire carrying current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if,(i) the wire intersects the axis,(ii) the wire is turned from N-S to northeast-northwest direction,(iii) the wire in the N-S direction is lowered from the axis by a distance of 6.0
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A uniform magnetic field of 3000 G is established along the positive z-direction. A rectangular loop of sides 10 cm and 5 cm carries a current of 12 A. What is the torque on the loop in the different cases shown in Fig. What is the force on each case? Which case corresponds to stable
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A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in the coil is 5.0 A, what is the(i) total torque on the coil,(ii) total force on the coil,m2(iii) average force on each electron in the coil due to the magnetic field? (The coil is made of copper wire of cross-sectional area 10–5 , and the free electron density in copper is given to be about 1029
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A solenoid 60 cm long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A 2.0 cm long wire of mass 2.5 g lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6.0 A in the wire. What value of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight
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A galvanometer coil has a resistance of 12 Ω and the metre shows full scale deflection for a current of 3 mA. How will you convert the metre into a voltmeter of range 0 to 18
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A galvanometer coil has a resistance of 15 Ω and the metre shows full scale deflection for a current of 4 mA. How will you convert the metre into an ammeter of range 0 to 6
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Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field B = `B_0
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Biot-Savart law indicates that the moving electrons (velocity v) produce a magnetic field B such
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A current carrying circular loop of radius R is placed in the x-y plane with centre at the origin. Half of the loop with x > 0 is now bent so that it now lies in the y-z
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An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is
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In a cyclotron, a charged
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A circular current loop of magnetic moment M is in an arbitrary orientation in an external magnetic field B. The work done to rotate the loop by 30° about an axis perpendicular to its plane
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The gyro-magnetic ratio of an electron in an H-atom, according to Bohr model,
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Consider a wire carrying a steady current, I placed in a uniform magnetic field B perpendicular to its length. Consider the charges inside the wire. It is known that magnetic forces do no work. This implies
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Two identical current carrying coaxial loops, carry current I in an opposite sense. A simple amperian loop passes through both of them once. Calling the loop as
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A cubical region of space is filled with some uniform electric and magnetic fields. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity- v. At this
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A charged particle would continue to move with a constant velocityin a region
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Verify that the cyclotron frequency ω = eB/m has the correct dimensions of
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Show that a force that does no work must be a velocity dependent
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The magnetic force depends on v which depends on the inertial frame of reference. Does then the magnetic force differ from inertial frame to frame? Is it reasonable that the net acceleration has a different value in different frames of
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