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Field Distribution
The transverse distribution um(y) of the electric-field complex amplitude of a TE mode in a slab waveguide is given by:
cos(2Π(sinθm/λ)y) → m = 0, 2, 4, 6 .....
um(y) ∝
sin(2Π(sinθm/λ)y) → m = 1, 3, 5 .....
and
Derive an expression for the ratio of the proportionality constants.
Plot the distribution of the m = 0 TE mode for a slab waveguide with parameters n1 = 1.48, n2 = 1.46, d = 0.5 m, and λ0 == 0.85 μm, and determine its confinement factor (percentage of power in the slab).
Two 1 kO resistors are connected in series. Each resistor has 10% tolerance, and the resistance values are statistically independent and uniformly distributed. Determine the probability that the total series resistance of the two resistors is less..
Let P ⊆Rn be a convex set, and let x ε Rn with TP (x) 6= Φ. Prove that TP (x) is a convex cone.
What will be the power factor when the resistor voltage is 9 V at an angle of 30 degrees, and the capacitor voltage is 3 V at an angle of - 60 degrees in a RC series circuit. Also, what will be the power factor when the inductor voltage is 9 V.
Suppose a knowledge base contains just one sentence Ðx As High As (x, Everest). Which of the following arc legitimate results of applying Existential Instantiation?
The armature of a separately excited (fixed field) DC motor with the parameters given below is to be driven from a single switch DC Chopper. Draw the circuit diagram for the circuit and sketch the waveforms for the motor voltage and current.
Compare GBN, SR, and TCP(no delayed ACK). Assume that the timeout values for all three protocols are sufficiently long such that 5 consecutive data segments and their corresponding ACKs can be received (if not lost in the channel)
(a) What is the frequencyof the clock (b) Draw a suitable logic circuit for the counter.(c) Construct the truth table and use Karnaugh maps to determine the minimum SOP expressions for D1 through D4 in terms ofS, Q1, and Q2.
the goal is to design a memory system to support a small amount of data storage outside of the processor. the design
Concider an ac circuit source with an rms amplitude Irms connected to a parallel RLC circuit with resistance R, inductance L, and capacitance C. Derive an expression for the time-average power dissipated by the circuit
Measuring the resistances of the resistors with lengths L1 = 10 µm and L2 = 30 µm, the following values are obtained: R1 = 365-ohm and R2 = 1085-ohm, respectively. If the width of the resistors is 5 µm, determine the sheet resistance and the contac..
A crossbar exchange is required to set up 5000 calls in the busy hour.The marker holding times may be assumed to be exponentially distributed,with an average holding time of 0.5 second.
After the numbers have been placed in A and B, and X is set to 0 or 1, a start signal (st) arrives thats sets the circuit in operation. After four shift pulses, the operation is completed and the circuit automatically shuts itself off.
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