The magnetic field due to a long straight wire has been derived in terms of `mu_0`,i and d. Express this in terms of `epsilon_0 ` , c, i, and d.

The field due to a long straight wire carrying a current I is proportional to …..

Find the magnetic field B due to a semicircular wire of radius 10.0 cm carrying a current of 5.0A at its centre of curvature .

6.A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2.0 cm as shown in Fig. (a). Consider the magnetic field B at the centre of the arc. a . What is the magnetic field due to the straight segments? b. In what way the contribution to B from the semicircle differs from that of a circular loop and in what way does it resemble? c. Would your answer be different if the wire were bent into a semi-circular arc of the same radius but in the opposite way as shown in Fig. (b)?

A very long bar magnet is placed with its north pole coinciding with the centre of a circular loop carrying an electric current. i . The magnetic field due to the magnet at a point on the periphery of the wire is B . The radius of the loop is a . The force on the wire is

A tightly- wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n dx turns and may be approximated as a circular current I n dx. (a) Write the magnetic field at the center of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the center of the solenoid. (b) Verify that if lgtgta , the field tends to (B=(mu_0ni) and if agtgt1 , the field tends to B= ((mu_0)nil/2a) . Interpret these results.

Shows a square frame of wire having a total resistance r placed coplanarly with a long, straight wire. The wire carries a current I given by i= i_0 sin omega t . Find(a) the flux of the magnetic field through the square frame, (b) the emf induced in the frame and (c) the heat developd in the frame in the time interval 0 to (20pi)/(omega) .

A long, straight wire carries a current i. Let B_1 be the magnetic field at a point P at a distance d from the wire. Consider a section of length l of this wire such that the point P lies on a perpendicular bisector of the section. Let B_2 be the magnetic field at this point due to this section only. Find the value of d/l so that B_2 differs from B_1 by 1 %.

In order to have a current in a long wire, it should be connected to a battery or some such device. Can we obtain the magnetic field due to a straight, long wire by using Ampere's law without mentioning this other part of the circuit?

A circular loop of radius r carries a current i. where should a long , straight wire carrying a current 4i be placed in the plane of the circle so that the magnetic field at the centre becomes zero?

The two long, straight wires carrying electric currents of 10A each in opposite directions. The separation between the wires is 5.0 cm. Find the magnetic field at a point P midway between the wires.