Question

14-16

A time-varying uniform electric field exists inside a circle of radius r and is polarized perpendicular to the page. Its strength is given by E(t) = E_0 sin(omega). Let r = 0.45 m, E_0 = 4.00 v, and omega = 200 rad/s. Find the maximum magnitude of the electric flux through the circle. a) 2.54 V middot m b) 2.01 V middot m c) 1.54 V middot m d) 1.13 V middot m Find the amplitude of the magnetic field along the circle a) 1.78 times 10^-15 T, b) 1.33 times 10^-15 T, c) 1.56 times 10^-15 T, d. 2.00 times 10^-15 Find the magnitude of the phase angle between the magnetic field and the electric field. a) 45 degree, b) 90 degree, c) 0 degree d) 30 degree

Answer 1

E(+) = E_0 Sin wt r = 0.45m. E_0 = 4.00 vm^-1. W = 200 md/s Since electric field is perpendicular to page and therefore to circle. Theta = contour integral E^rightarrow middot ds = E times Area times cos 0 degree = theta times pi times (0.45)^2 times 1 = 2.54 V-m So Choice (a) is correct Amplitude A magnetic field B = E/C so choice (b) is Correct Electric field and Magnetic field in Electromagnetic plane waves are ALWAYS IN PHASE SO NO PHASE DIFFEREVER So Choice (C) is Correct 14 - a 15 - b 16 - c

14 - a

15 - b

16 - c