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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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Magnetic Field

Q- A long conducting pipe of radius R carries a uniformly distributed current I1 along its length. A long conducting wire carries a current I2 in same direction is placed at a distance of 3R from the axis of the pipe and parallel to it. Find

(a) Magnetic field at the center of the pipe

(b) Magneti…

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Magnetic Effects

Q- Suppose that you create a magnetic field via two coils of copper wire, each with N turns and each with a current I. The two coils are spaced a distance D apart. Each coil has a radius of R. In the center of the apparatus, create a beam of electrons (each electron has a charge e) accelerated by vo…

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Magnetic Field

Q- The current density in a cylindrical wire varies with the distance from its axis r, as j = j0 (r/a). Hear j0 is a constant and ‘a’ is the radius of the wire. Find

(a) Magnetic field at the axis of the wire

(b) Magnetic field at distance r from the axis of the wire.

(c) Magnetic field at th…

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Megnetic Effects

Q-  An aluminum bar slides without friction along Horizontal metal rails through a vertical magnetic field B. The distance between the rails is l. The switch closes at t=0s, while the bar is at rest, and a battery of emf V, starts a current flowing around the loop. The battery has internal resistan…

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