Questions from Electronics

Q: Two long coaxial solenoids each carry current I, but in opposite

Two long coaxial solenoids each carry current I, but in opposite directions, as shown in Fig. 5.42. The inner solenoid (radius a) has n1 turns per unit length, and the outer one (radius b) has n2. Fin...

Q: A large parallel-plate capacitor with uniform surface charge σ on

A large parallel-plate capacitor with uniform surface charge σ on the upper plate and σ on the lower is moving with a constant speed v, as shown in Fig. 5.43. (a) Find the magnet...

Q: Show that the magnetic field of an infinite solenoid runs parallel to

Show that the magnetic field of an infinite solenoid runs parallel to the axis, regardless of the cross-sectional shape of the coil, as long as that shape is constant along the length of the solenoid. W...

Q: In calculating the current enclosed by an Amperian loop, one must

In calculating the current enclosed by an Amperian loop, one must, in general, evaluate an integral of the form The trouble is, there are infinitely many surfaces that share the same bo...

Q: Find and sketch the trajectory of the particle in Ex. 5

Find and sketch the trajectory of the particle in Ex. 5.2, if it starts at the origin with velocity (a) v(0) = (E/B)yˆ, (b) v(0) = (E/2B)yˆ, (c) v(0) = (E/B)(yˆ + zˆ).

Q: (a) Find the density ρ of mobile charges in a

(a) Find the density ρ of mobile charges in a piece of copper, assuming each atom contributes one free electron. [Look up the necessary physical constants.] (b) Calculate the average electron velocity...

Q: Derive the three quotient rules.

Derive the three quotient rules.

Q: Is Ampère’s law consistent with the general rule (Eq. 1

Is Ampère’s law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that Ampère’s law cannot be valid, in general, outside magnetostatics. Is there any such “defec...

Q: Suppose there did exist magnetic monopoles. How would you modify Maxwell’s

Suppose there did exist magnetic monopoles. How would you modify Maxwell’s equations and the force law to accommodate them? If you think there are several plausible options, list them, and suggest how...

Q: Find the magnetic vector potential of a finite segment of straight wire

Find the magnetic vector potential of a finite segment of straight wire carrying a current I . [Put the wire on the z axis, from z1 to z2, and use Eq. 5.66.] Check that your answer is consistent with E...