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The differential equation x^{2}yux+f(u)uy=xy^{2}u is A) Linear equation.
B) Semi- linear equation.
C) Quasi-Linear equation.
D)Non- linear equation

L^{-1} e^{-s}/√s }=-----------


L {t^{2}*H'(t-3)}.

A) e^-3s /s

B)e^-3s /s^2.

C)2e^-3s /s^2.

D)3e^-3s /s^2.


If F(s)=s^{2}+2/s(2s^{2}-7s+5); then lim t→∞f(t) `.

A)0.

B)2/5. C) 1/2. D)does not exist


If f(t)=cos 2t H(t-π), then L{∫0^{t}f(τ)dτ}.
A)-e^-πs/s^2+4. B)-e^-πs/s(s^2+4). C)e^-πs/s^2+4.
D)e^-πs/s(s^2+4).

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. (include step-by-step procedures)


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. (include step-by-step procedures)


11.
In a bell crank lever reaction at fulcrum is 12 kN , if permissible bearing stress is 8MPa calculate diameter of pin.
A 3Ω,6Ω,9Ω and 12Ω resistor are connected in series. What resistor that will consume the most
power?
Three resistors Ra,Rb,& Rc are connected in series to a 120volt source, and the total power taken by the
circuit is 200 watts. Rb = 2Ra, Rc =3Ra. If Ra,Ra,& Rc are connected in parallel, the equivalent resistance
will be?
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