Find the magnitude (in N/m) and direction (in degrees counterclockwise from the +x-axis) of the force per unit length that each wire experiences in the figure below, using vector addition. Wire A B D 12 I₁ = 28.0 A, I2 = 14.0 A, and x = 38.0 cm Magnitude Direction A N/m о ° B N/m C N/m о D N/m °

Can there be a stable and unchanging electric or magnetic field in a region of space with no charges (and thus no currents)?  Justify your answer using Maxwell’s equations.

Which of the following accurately describes Gauss's law for the electric field and magnetic field?     The net electric flux through a closed surface is proportional to the charge enclosed by the surface whilethe net magnetic flux through a closed surface is always zero.     The net electric flux through a closed surface is always zero whilethe net magnetic flux through a closed surface is proportional to the current enclosed by the surface.     The net electric flux through a closed surface is proportional to the charge enclosed by the surface whilethe net magnetic flux through a closed surface is proportional to the current enclosed by the surface.     Both the net electric flux and the net magnetic flux through a closed surface are always zero.

The figure shows three situations - A, B, and C - in which an observer and a source of electromagnetic waves are moving along the same line. In each case the source emits a wave that has a frequency of 4.75 x 1014 Hz. The arrows in each situation denote velocity vectors of the observer and the source relative to the ground and have the magnitudes indicated (v or 2v), where the speed v is 1.80 x 106 m/s. What is the observed frequency in situation B?

An electromagnetic plane wave is propagating in the +x direction. At a certain point P and at a giveninstant, the electric field of the wave has a magnitude E = 82 V/m . The magnitude of the magneticfield of the wave at that point is 10 x 10^-7 5.4 x 10^-7 15 x 10^-7 1.7 x 10^-7 2.7 x 10^-7

Prove that the displacement current in a parallel-plate capacitor of capacitance C can be written as id =C(dV/dt), where V is the potential difference between the plates.

Calculate the displacement current Id between the square plates, 7.2 cmon a side, of a capacitor if the electric field is changing at a rate of 2.8×10^6 V/m*s Id=

The electric field of an electromagnetic plane wave traveling in a vaccum is described by  E(x,y,z,t) = 200 (V/m)ex*ei(ky-ωt) with k = 1.0 * 107/m and ω = 3 * 1015 rad/s Find the vector expression that describes the corresponding magnetic field of this wave.

Please answer.1. A Helium-Neon laser emits light with a wavelength of 632 nm in vacuum. What is the frequency if it propagates in water?a. 6.31 × 1014 Hzb. 4.75 × 1014 Hzc. 3.57 × 1014 Hzd. 2.26 × 108 Hz 2. Which of the following is not a physical implication of Maxwell’s Equations?a. A point charge at rest produces a magnetic field but no static field.b. There is no such thing as a magnetic monopole.c. A time-varying electric field produces a magnetic field.d. A time-varying magnetic field produces an electric field.

While driving at a constant speed of 79 km/h, you are passed by a car traveling at 122 km/h. If the frequency of light emitted by the taillights of the car that passes you is 4.3 1014 Hz, what frequency will you observe? (Use c = 2.9979245 ✕ 108 m/s Enter your answer to at least eight significant figures.) Whats the change in fequency?