Questions from Electronics


Q: Suppose you send an incident wave of specified shape, gI (

Suppose you send an incident wave of specified shape, gI (z-v1t), down string number 1. It gives rise to a reflected wave, hR(z+v1t), and a transmitted wave, gT (z-v2t). By imposing the boundary conditi...

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Q: (a) Formulate an appropriate boundary condition, to replace Eq

(a) Formulate an appropriate boundary condition, to replace Eq. 9.27, for the case of two strings under tension T joined by a knot of mass m. (b) Find the amplitude and phase of the reflected and trans...

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Q: Suppose string 2 is embedded in a viscous medium (such as

Suppose string 2 is embedded in a viscous medium (such as molasses), which imposes a drag force that is proportional to its (transverse) speed: / (a) Derive the modified wave equation describing the m...

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Q: Equation 9.36 describes the most general linearly polarized wave on

Equation 9.36 describes the most general linearly polarized wave on a string. Linear (or “plane”) polarization (so called because the displacement is parallel to a fixed vector nˆ) results from the com...

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Q: Write down the (real) electric and magnetic fields for a

Write down the (real) electric and magnetic fields for a monochromatic plane wave of amplitude E0, frequency ω, and phase angle zero that is (a) traveling in the negative x direction and polarized in...

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Q: Show that the differential equations for V and A (Eqs.

Show that the differential equations for V and A (Eqs. 10.4 and 10.5) can be written in the more symmetrical form where

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Q: Confirm that the retarded potentials satisfy the Lorenz gauge condition. [

Confirm that the retarded potentials satisfy the Lorenz gauge condition. [Hint: First show that where ∇denotes derivatives with respect to r, and ∇(...

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Q: (a) Suppose the wire in Ex. 10.2

(a) Suppose the wire in Ex. 10.2 carries a linearly increasing current I (t) = kt, for t > 0. Find the electric and magnetic fields generated. (b) Do the same for the case of a sudden burst of current:...

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Q: A piece of wire bent into a loop, as shown in

A piece of wire bent into a loop, as shown in Fig. 10.5, carries a current that increases linearly with time: I (t) = kt (−∞ Calculate the retarded vector potentia...

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Q: Evaluate the following integrals: /

Evaluate the following integrals:

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