(10 points) The electrie field of a sinusoidal electromagnetic wave in vacuum ob
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Question
(10 points) The electrie field of a sinusoidal electromagnetic wave in vacuum obeys the equation E- o V/e) sint(9 96 1ors)1.93 10 rad/m) x). a) Whet is the amplitude of the electric field of this wave? (b) What is the amplitule of the magnetie field of this wave? (e) What is the frequency of the wave? (d) What is the wavelength of the wave? (e) What is the period of the wave? 12.(10 points) Point sits at a distance 0.1 m to a long straight metal wire. How large a current must now through this metal wire so that the magnetic field at x is equal to the earth's magnetic field of 80-10 17 13. ( 10 points) A loop of wire with an area of 5.0× 10-a ma and i 000 turns is in a uniform magnetic field that has an intial value(t0 s) of 3.2 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.15 T/s to zero. What emf is induced in this loop at (a)t-0s; (b)t-20s:(c)t-40 s 14. (10 points) An Alpha particle (the nucleus of an helium atom consisting of two protons and two neutrons and having amass of 668 27 kg) moving horizontally enters a uniform, vertical, 0 70T magnetic field and follows a cireular arc of radius 55.0 cm. How fast was this Alpha particle moving just before it entered the field?Explanation / Answer
13.
induced emf = d(flux)/dt
= d(NBA)/dt
= N A dB/dt
dB/dt = 0.15 T/s (that is constant)
e = (1000)(5 x 10^-2)(0.15)
e = 7.8 Volt
lets calculate time when B becomes zero.
t = 3.2 / 0.15 = 21.3 s
(A) e = 7.8 Volt
(B) e = 7.8 Volt
(C) e = 0
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