Questions from Electronics

Q: A square loop of wire, of side a, lies midway

A square loop of wire, of side a, lies midway between two long wires, 3a apart, and in the same plane. (Actually, the long wires are sides of a large rectangular loop, but the short ends are so far aw...

Q: Find the self-inductance per unit length of a long solenoid

Find the self-inductance per unit length of a long solenoid, of radius R, carrying n turns per unit length.

Q: Try to compute the self-inductance of the “hairpin”

Try to compute the self-inductance of the “hairpin” loop shown in Fig. 7.38. (Neglect the contribution from the ends; most of the flux comes from the...

Q: An alternating current I (t)= I0 cos(ωt )

An alternating current I (t)= I0 cos(ωt ) (amplitude 0.5 A, frequency 60 Hz) flows down a straight wire, which runs along the axis of a toroidal coil with rectangular cross section (inner radius 1 cm,...

Q: A capacitor C is charged up to a voltage V and connected

A capacitor C is charged up to a voltage V and connected to an inductor L, as shown schematically in Fig. 7.39. At time t= 0, the switch S is closed. Find the current in the circuit as a function of t...

Q: Find the energy stored in a section of length l of a

Find the energy stored in a section of length l of a long solenoid (radius R, current I , n turns per unit length), (a) using Eq. 7.30 (you found L in Prob. 7.24); (b) using Eq. 7.31 (we worked out...

Q: Calculate the energy stored in the toroidal coil of Ex. 7

Calculate the energy stored in the toroidal coil of Ex. 7.11, by applying Eq. 7.35. Use the answer to check Eq. 7.28.

Q: Test Stokes’ theorem for the function v = (xy) xˆ

Test Stokes’ theorem for the function v = (xy) xˆ + (2yz) yˆ + (3zx) zˆ, using the triangular shaded area of Fig. 1.34.

Q: (a) Two metal objects are embedded in weakly conducting material

(a) Two metal objects are embedded in weakly conducting material of conductivity σ (Fig. 7.6). Show that the resistance between them is related to the capacitance of the arrangement by / (...

Q: A long cable carries current in one direction uniformly distributed over its

A long cable carries current in one direction uniformly distributed over its (circular) cross section. The current returns along the surface (there is a very thin insulating sheath separating the curr...