Chapter 29: Problem 14
Suppose the resistance of the resistor in Solved Problem 29.1 is increased by a factor of \(2 .\) By what factor does the power dissipated in the resistor change? a) \(\frac{1}{2}\) b) 2 c) 4 d) 8 e) 16
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A wire of length \(\ell=10.0 \mathrm{~cm}\) is moving with constant velocity in the \(x y\) -plane; the wire is parallel to the \(y\) -axis and moving along the \(x\) -axis. If a magnetic field of magnitude \(1.00 \mathrm{~T}\) is pointing along the positive \(z\) -axis, what must the velocity of the wire be in order for a potential difference of \(2.00 \mathrm{~V}\) to be induced across it?
A wedding ring is tossed into the air and given a spin, resulting in an angular velocity of 13.5 rev/s. The rotation axis is a diameter of the ring. The magnitude of the Earth's magnetic field is \(4.97 \cdot 10^{-5} \mathrm{~T}\) at the ring's location. If the maximum induced voltage in the ring is \(1.446 \cdot 10^{-6} \mathrm{~V},\) what is the diameter of the ring?
Calculate the potential difference induced between the tips of the wings of a Boeing \(747-400\) with a wingspan of \(64.67 \mathrm{~m}\) when it is in level flight at a speed of \(913 \mathrm{~km} / \mathrm{h}\). Assume that the magnitude of the downward component of the Earth's magnetic field is \(B=5.00 \cdot 10^{-5} \mathrm{~T}\). a) \(0.820 \mathrm{~V}\) b) \(2.95 \mathrm{~V}\) c) \(10.4 \mathrm{~V}\) d) \(30.1 \mathrm{~V}\) e) \(225 \mathrm{~V}\)
A supersonic aircraft with a wingspan of \(10.0 \mathrm{~m}\) is flying over the north magnetic pole (in a magnetic field of magnitude 0.500 G oriented perpendicular to the ground) at a speed of three times the speed of sound (Mach 3). What is the potential difference between the tips of the wings? Assume that the wings are made of aluminum.
A long solenoid with a circular cross section of radius \(r_{1}=2.80 \mathrm{~cm}\) and \(n=290\) turns/cm is inside of and coaxial with a short coil that has a circular cross section of radius \(r_{2}=4.90 \mathrm{~cm}\) and \(N=31\) turns. Suppose the current in the short coil is increased steadily from zero to \(i=2.80 \mathrm{~A}\) in \(18.0 \mathrm{~ms} .\) What is the magnitude of the potential difference induced in the solenoid while the current in the short coil is changing? a) \(0.0991 \mathrm{~V}\) b) \(0.128 \mathrm{~V}\) c) \(0.233 \mathrm{~V}\) d) \(0.433 \mathrm{~V}\) e) \(0.750 \mathrm{~V}\)
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