(b) An electromagnetic wave, with a time-varying field, propagates in a medium with 75 times the permittivity in free space. Given that Ē = 10 cos wt ŷ, calculate the displacement current density at 2 kHz.
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- A collimated laser beam is linearly polarized in the y direction and propagates in a system containing two polarizers.(a) For angles of the transmission axes of the polarizers in relation to the y axis given by are θ1 = 70° and θ2 = 90°. If the incident beam irradiance is Io = 43 W/m², what is the IT irradiance of the beam transmitted by the system? (b) With respect to the ^y direction, the drive shaft of the first polarizer makes an angle θ and the drive shaft of the second polarizer makes an angle of 90°. If 10% of the incident optical power is transmitted by the system, what is the angle θ?A galvanometer ie ohunted by 1 of its Hosiotance. Find the fuaction of the cument fasiing thuough the galsancmeler.The filament in a clear incandescent light bulb radiatesvisible light at a power of 5.00 W. Model the glass part ofthe bulb as a sphere of radius r0 = 3.00 cm and calculatethe amount of electromagnetic energy from visible lightinside the bulb.
- A wire of indefinite length crossed by a current ₁ = 0.5 A is placed at a distance r = 50 cm from a second undefined thread pa rallel to it. What current must flow in the second wire and in what direction, so that the force per unit of length between the two wires is r epulsive, and has an intensity equal to 1 N/m? O 5 A, in the same direction as ₁ O 5 A, in direction opposite to ₁ O 10 A, in opposite direction to 1 O 10 A, in the same direction asi₁Electromagnetic fields and wavesis giver by equatior differential If the electric Charge L dďQ +R dQ dE Intensity of Electric Current; OP = エ de Find PCE) if E(t) = 100 CoS (iOt), C = 16 x 10,L = 1 Ect) = 100 CoS (10t) , C = 16 x 10 L = 1 %3D %3D R R=40,(The inital charge ard inital
- (a) Consider an infinite wire of radius a that carries a current I(t) = Io cos cot When separated into two pieces with a small gap of d <<< a, you would not notice that it is broken when looking from a very far distance. Explain this phenomenon by using the displacement current and electric field in the gap of the broken wire.(b) Suppose you have a cylindrical wire of radius a, where a parallel-plate capacitor is being charged. The gap caused by the capacitor between the wire is an imaginary cylinder with radius a and length d. Current I flows through the wire and charges +Q and -Q accumulate on the parallel plates. [Recall: when charging a capacitor, the energy is stored in the electric field.] What is the magnetic field in this surface? [Hint: Evaluate at s = a.]A diathermy machine used in physiotherapy generates electromagnetic radiation that gives the effect of ‘deep heat’ when absorbed in tissue. Many commercial machines operate at 27.12 MHz: (a) (10) What is the wavelength of this radiation? (b) (10) What is the oscillation period [s] of this radio wave?