1) A figura abaixo mostra um fio oco, de raio externo Ra e raio interno Rp, preenchido por material condutor. O fio transporta uma corrente i, de maneira que a densidade de corrente é constante. O material condutor também transporta uma corrente i, mas a densidade de corrente é não uniforme, sendo dada por 2i onde ñé a o vetor normal à seção transversal do fio. (a) Calcule a corrente total transportada pelo conjunto fio + material condutor. (b) Determine o campo magnético para r < Rp. (c) Determine o campo magnético para Rp Ra.

5. 4. Find the size and direction of the force per meter exerted on the bottom wire by the top 4. I-5A, in all wires. The distance between each wire is lcm. Also find the strength of the magnetic ield at the location of the middie wire. Foned THE BFIED AT LOCATION of N/m LdL0, r, 1 F/A= 2 WIRG preOaA TOP Due TOTHE UTHER 4- B= LdL0, 1, 1

A current / flows through a straight wire AB of finite length. (a) Find the magnetic field B at distance r from the wire, the ends of the wire making inner angles 01 and 02 with P, Figure (b) Obtain the limit value for B for a very long wire. P. 0,

by an electric current can be a) Joule's law b) Ohm's law c) Biot - Savarts law d) Amperes law 4. In SI, unit of permeability of free space (u,) a) 4n x10 henry/metre c) 2n x10 henry/metre b) 4nx10' henry/metre d) 4nx10 henry/metre 5. A current carrying coil of a area of cross-section 0.2 m having turns 200, carrying a current 5A. Then

(a) A small wire loop carrying current is placed next long straight current wire as shown in the diagram. Label direction of force acting on each side of the loop due to long wire as follows with arrowheads. Force on AB is F1, Force on BC F2, Force on CD F3. Force on DA F4. Label the direction of net force on ABCD as F. A (b) ABCD is a square with side 4 cm. Two long wires carry currents 10 A each goes through A and B perpendicular to plane of ABCD out of the page. Label the magnetic field at the center of the square due to wire at A as B1 and wire at B as B2. What is the direction of net magnetic field at the center?

An infinitely long wire carries a current of I = 150 A. Randomized VariablesI = 150 A  Part (a)  Consider a circle with a radius r and centered on the wire. Determine the magnitude of the magnetic field B at points along the circle in terms of I and r.   Part (b)  If r = 0.14 m, calculate the numerical value of B in tesla.

You are facing a loop of wire which carries a clockwise current of 3.0A and which surrounds an area of 600 cm2. Determine the torque (magnitude and direction) if the flux density of 2 T is parallel to the wire directed towards the top of this page.

(a) Find the magnitude of the magnetic field inside the wire. (b) Find the magnitude of the magnetic field outside the wire.

8. (30) A long wire of radius R has a uniform current density J0. Find the magnetic field inside the wirewhere r > R in terms of given quantities.

a) What rate must the magnitude of B change to induce a 6A current in the loop?  b) What ar ethe magnitude and direction of the current around the loop at the moment t=3s?