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A resistive coil draws 2A at 110 V after operating for a long time. If the temperature rise is 55°C above the ambient temperature of 20°C, calculate the external resistance which must be initially connected in series with the coil to limit the current to 2A. The temperature coefficient of the material of the coil is 0.0043 per °C at 20°C.


The hot resistance of an incandescent lamp is 10 ohms and the rated voltage is 50 V. Find the series resistance required to operate the lamp from an 80 V supply.


Nichrome ribbon resistor elements each has a resistance of 1Ω. The element is made from sheet of nichrome alloy, 0.025 cm thick. If the width of the ribbon is 0.3 cm, what length is required per element? Assume specific resistance of nichrome alloy to be 109 micro Ω-cm.


Use the fourth-order Taylor series method to solve the initial value problem dy/dx = 3x + y^2,


y(0)=1 to approximate y(0.72), y(0.72+0.72), y(0.(3×72), y(0.(4×72)).


Determine the z-transform of the given sequence x[n] without using z-transform
properties and also specify it’s ROC:
x[n]=b^n. B<1
Also, state whether Discrete Time Fourier Transform (DTFT) of the above sequence exists
or not? If Yes; why? If No; then what is the criteria for its existence?
Using long division & Partial fraction method, determine the inverse z-transform of the
following z-transform:
H(z)=1/1-3÷2z^-1+1÷2z^-2
Let X and Y be independent random variables with joint p.d.f
F(x,y) = x(1+3y^2)/4, 0<x<2, 0<y<1
0, elsewhere
Find E(X), E(Y), E(X+Y) and E(XY)
An 8-bit register contains the Hex value 58. What is the register value after an arithmetic
shift right? Starting from the initial number 58, determine the register value
i) after logical shift right
ii) after an arithmetic shift left, and state whether there is an overflow not, explain
through the proper diagrams.

A common bus system which is capable of transferring 8 bits at time with number of registers are 2 each register is of 8bit? Draw circuit diagram for this and also define how many multiplexers are required and what will be the size of multiplexer with truth table Also explain how to gather data from this bus back into register.


1)    An 8-bit register contains the Hex value A9. What is the register value after an arithmetic shift right? Starting from the initial number A9, determine the register value

 i)       after logical shift right

ii) after an arithmetic shift left, and state whether there is an overflow not, explain through the proper diagrams.


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