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. : "Magnetic effects"

Magnetic Circuit

Q- Find the current necessary to stablish a flux of ø = 3*10-4 Wb in the series magnetic circuit (shown in figure) consist of two parts of cast iron and steel cores. Length of each core is l = 0.3 m and the area of cross-section is A = 5*10-4 m2. Relative permittivity of cast iron is 5000 and that …

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Magnetism

(On request- Harsh)

An equilateral triangle of side a has a current I in anti-clockwise direction. Find the strength of magnetic field and its direction at one of its vertex. 

Solution:

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Magnetism: Parallel Wires

Q- Two infinite wires run parallel to the z-axis, which points out of the page. One wire carries a current I1= 2 A and intersects the x-axis at x = a = 3 cm. The second wire carries current I2= 5 A and intersects the x-axis at x = -a. Both currents flow in the +z direction. 

(a) Calculate the net …

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Charged Particle Moving in a Magnetic Field.

Q- A proton (mass= 1.67×10-27 kg, charge= 1.6×10-19 C) travelling with speed 1×106 m/s enters a region of space containing a uniform magnetic field of 1.2 T, perpendicular to it. What is the time t required for the proton to re-emerge into the field-free region? 

Solution:

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Magnetic Effects

Q- An infinite wire carries current I1 = 1.1 A in the +x direction as shown in the diagram bellow. A rectangular loop of length L = 8 cm and width w = 3 cm carries a current I2 = 0.5 A in the clockwise direction as shown. The loop is located in the x-y plane a distance d = 3 cm from the infinite wir…

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Magnetic Effects: Force on a particle

Q- A charged particle (q = +3.5 µC) moves at speed v0 = 55 m/s in the +x-direction. At x = 0 it enters a region where a uniform magnetic field B = 2.5 T directed in the +z direction.

(a) What is the magnitude of the magnetic force on the particle? 

(b) What electric field can make the net forc…

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Magnetic Effects: Force on a Charged Particle

Q- A charged particle with initial velocity v0 = 3 × 106 m/s in the positive x-direction enters a region of depth d1 = 1.1 m that has a uniform magnetic field B = 0.011 T in the positive z-direction (out of the page). The magnetic field is zero elsewhere. The particle leaves the magnetic field regi…

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Wave Optics: Diffraction

Q- A diffraction grating has 20 slits per mm. The distance between the slit centers is twice the width of each slit. The grating is uniformly illuminated at normal incidence. The transmitted light passes through a lens of focal length 1 m and then onto a screen that lies 1 m from the lens. On the sc…

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Electric and Magnetic forces

(On request - Rajesh)

Q- (a) A positive ion of mass m1 and charge q1, initially at rest is accelerated through a potential difference V. Find its speed in terms of given quantities.

(b) The ion than enters a region of uniform magnetic field B, normal to its motion, and moves in a semicircular orbi…

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Electric and Magnetic Forces

Q- An electron is moving northward at 5*105 m/s in a uniform electric field of magnitude 20 N/C directed vertically downward. Due to presence of a magnetic field as well the electron moves in a straight line un-deviated. 

(a) Find the magnitude and direction of the force on the electron due to ele…

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Magnetic Field

Q- Two very long coaxial cylindrical conductors are placed with their axes coincide with z axis. The inner solid cylinder has radius a = 2 cm and caries a total current of I1 = 1.2 A in the positive z-direction. The outer cylinder has an inner radius b = 4 cm, outer radius c = 6 cm and carries a cu…

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Magnetic Field

Q- Consider the circuit shown below which is composed of two concentric arcs, with radii R1 = 1 cm and R2 = 3.9 cm and connected by two radial arms. Each arc subtends an angle of 55 degrees. A current of I = 1.7 A flows clockwise in the loop. The loop lies in the x-y plane, and the +z direction is …

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Electromagnetism

Q- A single-turn square loop of wire of side 2.00 cm, carries a clockwise current of 200 A. The loop is inside a solenoid, with the plane of the loop perpendicular to the magnetic field of the solenoid. The solenoid has 30 turns/cm and carries a clockwise current of 15.0 A Find the force on each sid…

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Magnetic Field: Parallel Wires

Q- Two long parallel horizontal wires are interacting to each other by a force per unit length of 320 micro-newton/meter, when they are separated by a vertical distance of 0.500m. The current in the upper wire is 20.0 A to the right. Determine the location of the line in the plane of the two wires a…

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Magnetic Field: Parallel Wires

Q- Two long parallel conductors, separated by 10.0 cm, carry currents in the same direction. The first wire carries current I1 = 5.00A and the second one carries I2 = 8.00A.

a) What is the magnitude of the magnetic field created by I1 at the location of I2?

b) What is the force per unit length exe…

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Electric charge in a magnetic field

Q- Positively and negatively charged particles are simultaneously “shot” with velocity v through the magnetic field B as in figure, in the plane of the paper. Find the magnitude and direction of the force acting on each particle.

Solution:

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Magnetic Field

Q1- What is the flux density at point P in Figure due only to the 3-A current in the portion of wire 2 shown?

Q2- What is the total flux density at point P

Solution:

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Magnetic Force

Q- A horizontal wire of length 0.10m and mass 0.020kg carries a current in the earth’s magnetic field where it is horizontal and of magnitude 5.0*10-5 T.                            

a) Determine the minimum magnitude of the current in the wire if the wire remains moti…

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Magnetic Field

Q- In a long cylindrical wire of radius a = 3.1 mm the current density varies with distance r from the axis as j (r) = j0 (r/a). Here r is the distance from axis and j0 = 310 A/m2 is a constant. Find magnetic field at (a) on the axis of wire (b) at distance a/2 from the axis and (c) at the surface o…

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Magnetic Field

Q- Four long straight wires each carrying current I are placed at the corners of a square of side a. The wires are parallel to each other and normal to the plane of the square. The direction of the current in two adjacent wires is out of the page and that in the other two is into the page. Find magn…

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