In a region of space, the electric field varies according to E = (0.04 N/C) sin...
In a region of space, the electric field varies according to E = (0.06 N/C) sin 2100f, where t is in seconds. Find the maximum displacement current through 1 m^2 area perpendicular to E rightarrow. A
A spatially uniform electric field varies in time according to E = Eo + 3000 t, where Eo = 4000 N/C and t = time in seconds. a) What is the value of E at 10.0 s? b) The value of E from part (a) pierces a rectangular region measuring 0.25 m by 0.75 m. The direction of E makes an angle of 30.0o relative to the vector normal to the surface. What is the flux of E through this...
In a region of space, the electric field is pointed along the x-axis, but its magnitude changes as described by Ex = (50 N/C)sin(50x – 600t) Ey = Ez = 0 where t is in nanoseconds and x is in centimeters. Find the displacement current in A) through a circle of radius 6 cm in the x = 0 plane at t = 0.
(a) The electric field in a certain region is E (4.0)) N/C. Determine the electric flux due to this freld through an area represented by the vector A (1.51-7.k) m 29 How is the flux defined in terms of the electric field vector, and the area vector? Review dot product rules. N·m2/C (b) Determine the flux due to the same electric field when the surface orientation has changed such that the area is now represented by the vector A -(1.51-7.3)...
In a region of space, the electric field is pointed along the x-axis, but its magnitude changes as described by Ex = (50 N/C) sin(50x - 600t) Ey = Ez = 0 where t is in nanoseconds and x is in centimeters. Find the displacement current in A) through a circle of radius 2 cm in the x = 0 plane at t = 0.
(a) The electric field in a certain region is E = (-4.0k) N/C. Determine the electric flux due to this field through an area represented by the vector A = (3.41 – 5.4K) m2. N- m²/c (b) Determine the flux due to the same electric field when the surface orientation has changed such that the area is now represented by the vector A = (3.4 - 5.49) m2. Nm2/C
A magnetic field is uniform in distribution across a region of space but the strength on the field varies time according to the formula B= 1.5 t^2 where the units have been left off but t is in seconds and is in Tesla. If this field passes straight through a flat wire loop enclosing an area of 0.60 m^2 what the emf induced in this wire loop, at a time of 3 seconds?
At a given region in space, the electric field is E = 5.89 ✕ 103 N C · m2 x2î. Note that when x is in m, E will be in N/C. Electric charges in this region are at rest. Determine the volume density of electric charge (in nC/m3) at x = 0.320 m. Suggestion: Apply Gauss's law to a box between x = 0.320 m and x = 0.320 m + dx. nC/m3
6. The electric field in the region of space shown is given by E (8i+2yj) N/C where y is in m. What is the magnitude of the electric flux through the top face of the cube shown? 2n 7. a a Charge of uniform linear density (4.0 nC/m) is distributed along the entire x axis. Determine the magnitude of the electric field on the y axis at y-2.5 m.
In a region of free space, the electric field at an instant of time is E = [(32.0)i + (-64.0)) + (80.0) N/C, and the magnetic field is E = [(0.080)i + (0.290)j + (0.200)] HT. (a) Show that the two fields are perpendicular to each other by calculating the following quantities ExBx - NPT/C E,By = NUT/C E.B,- NPT/C ExBx + EyBy + E,B,= NAT/C (b) Determine the component representation of the Poynting vector for these fields. Use three...