Questions from Electronics


Q: (a) Suppose a charge distribution ρ1(r) produces

(a) Suppose a charge distribution ρ1(r) produces a potential V1(r), and some other charge distribution ρ2(r) produces a potential V2(r). [The two situations may have nothing in c...

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Q: Use Green’s reciprocity theorem (Prob. 3.50) to

Use Green’s reciprocity theorem (Prob. 3.50) to solve the following two problems. [Hint: for distribution 1, use the actual situation; for distribution 2, remove q, and set one of the conductors at po...

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Q: (a) Show that the quadrupole term in the multipole expansion

(a) Show that the quadrupole term in the multipole expansion can be written / (in the notation of Eq. 1.31), where / Here / is the Kronecker delta, and Qij is the quadrupole moment of the charge d...

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Q: In Ex. 3.8 we determined the electric field outside

In Ex. 3.8 we determined the electric field outside a spherical conductor (radius R) placed in a uniform external field E0. Solve the problem now using the method of imag...

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Q: For the infinite rectangular pipe in Ex. 3.4,

For the infinite rectangular pipe in Ex. 3.4, suppose the potential on the bottom (y=0) and the two sides (x= ± b) is zero, but the potential on the top (y =a) is a nonzer...

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Q: (a) A long metal pipe of square cross-section

(a) A long metal pipe of square cross-section (side a) is grounded on three sides, while the fourth (which is insulated from the rest) is maintained at constant potential V0. Find the net charge per u...

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Q: An ideal electric dipole is situated at the origin, and points

An ideal electric dipole is situated at the origin, and points in the z direction, as in Fig. 3.36. An electric charge is released from rest at a point in the xy plane. Show that it swings back and fo...

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Q: A stationary electric dipole / is situated at the

A stationary electric dipole / is situated at the origin. A positive point charge q (mass m) executes circular motion (radius s) at constant speed in the field of the dipole. Characterize the plane of...

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Q: Find the charge density σ(θ) on the surface of

Find the charge density σ(θ) on the surface of a sphere (radius R) that produces the same electric field, for points exterior to the sphere, as a charge q at the point a < R on the z axis. /

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Q: Calculate the curls of the vector functions in Prob. 1.

Calculate the curls of the vector functions in Prob. 1.15.

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