Q: A long solenoid with radius a and n turns per unit length
A long solenoid with radius a and n turns per unit length carries a time-dependent current I (t) in the φˆ direction. Find the electric field (magnitude and direction) at a distance s from the axis (bo...
See AnswerQ: An alternating current I=I0 cos (ωt) flows down
An alternating current I=I0 cos (ωt) flows down a long straight wire, and returns along a coaxial conducting tube of radius a. (a) In what direction does the induced electric field point (radial, circum...
See AnswerQ: A long solenoid of radius a, carrying n turns per unit
A long solenoid of radius a, carrying n turns per unit length, is looped by a wire with resistance R, as shown in Fig. 7.28. (a) If the current in the solenoid is increasing at a constant rate (dI/dt=...
See AnswerQ: A square loop, side a, resistance R, lies a
A square loop, side a, resistance R, lies a distance s from an inï¬nite straight wire that carries current I (Fig. 7.29). Now someone cuts the wire, so I drops to zero. In what directio...
See AnswerQ: A toroidal coil has a rectangular cross section, with inner radius
A toroidal coil has a rectangular cross section, with inner radius a, outer radius a+w, and height h. It carries a total of N tightly wound turns, and the current is increasing at a constant rate (dI/...
See AnswerQ: A capacitor C has been charged up to potential V0; at
A capacitor C has been charged up to potential V0; at time t=0, it is connected to a resistor R, and begins to discharge (Fig. 7.5a). (a) Determine the charge on the capacitor as a function of time, Q...
See AnswerQ: Test the divergence theorem for the function v = (xy)
Test the divergence theorem for the function v = (xy) xˆ + (2yz) yˆ+ (3zx) zˆ. Take as your volume the cube shown in Fig. 1.30, with sides of length 2.
See AnswerQ: Where is ∂B/∂t nonzero, in Figure 7.
Where is ∂B/∂t nonzero, in Figure 7.21(b)? Exploit the analogy between Faraday’s law and Ampère’s law to sketch (qualitatively) the electric field
See AnswerQ: Imagine a uniform magnetic field, pointing in the z direction and
Imagine a uniform magnetic field, pointing in the z direction and filling all space / A positive charge is at rest, at the origin. Now somebody turns off the magnetic field, thereby inducing an electric...
See AnswerQ: A small loop of wire (radius a) is held a
A small loop of wire (radius a) is held a distance z above the center of a large loop (radius b), as shown in Fig. 7.37. The planes of the two loops are parallel, and perpendicular to the common axis....
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