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A silver coated sphere of radius 5 cm carries a total charge of 12 nC uniformly
distributed on its surface in free space. Calculate (a) |D| on the surface of the
sphere. (b) D external to the sphere and (c) total energy stored in the field.
Impulse responses h (t) = tsin u (t) test stability of the LTI systems
If y (t)= x (t)+3x (1-5) test the causality of the systems.
If the equation of (t)= x (2t)+x (1-t) find causality of the systems.
y (t)= tx (t-2) find causality of the systems.
y(t) = t^2x(t -1) Linear or non-linear?
Find if the following system are time invariant or time variant 1. y (t)= x (t/3) . 2. y (t) = x (4t).

A composite conductor 10 m long consists of an inner core of steel of radius 1.5 cm and an outer sheath of copper whose thickness is 0.5 cm. Take the resistivities of copper and steel as 1.77 * 10-8 and 11.8 * 10-8 ohm m respectively. Determine the resistance of the conductor. If the total current in the conductor is 60 Amperes, what current flows in each metal? Find the resistance of a solid copper conductor of the same length and cross-sectional areas of the sheath.


In a certain region, J = 3r^2cos(theta)ar - r^2 sin(theta)a(theta) A/m. Find the current passing through the surface defined by theta = 30^degree , 0 < phi < 2π, 0 < r < 2m. 


Determine the Q point of the circuit shown in fig. Also, draw the D.C load line. Given β=158
& RC = 1058 Ω.
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