A long, thin solenoid has 600 turns per meter and radius 2.6 cm. The
current in the solenoid is increasing at a uniform rate dI/dt. The induced
electric eld at a point near the center of the solenoid and 3.80 cm from
its axis is 8.00 10 -5 V/m. Calculate dI/dt

Determine the changes in length, breadth, and thickess of a steel bar which is 5m long, 40mm wide and 30mm thick and is subjected to an axial pull of 35kN in the direction of its length. Then find the volumetric strain and final volume of the given steel bar. (Take E= 200000 N/mm2 and poisson ratio (v) = 0.32)

Draw and analyze a four resister BJT (CE) bias circuit with the following values:

      R₁=10 kΩ, R₂=12 kΩ, R_C=5 kΩ, R_E=3 kΩ and V_CC=12 V,

      Find the operating points   I_CQ and V_CEQ

            Assume a BJT transistor (npn) with β=100 and V_BE=0.7V

Determine whether the set with the definition of addition of vectors and scalar multiplication is a vector space. If it is, demonstrate algebraically that it satisfies the 8 vector axioms. If it's not, identify and show algebraically every axioms which is violated. Assume the usual addition and scalar multiplication if it's not defined. V = { f : R --> R | f(1) = 0 }

Velocity field for this system is:

V=[X^2-(y*z^1/2/t)]i-[z*y^3+(x^1/3*z^2/t^1/2)j+[-x^1/3*t^2/z*y^1/2]k

find the components of acceleration for the system.

The KM Corporation builds widgets in Washington. It combines capital (K) and labour (L) in the production function in the following way:

Q(K,L) = K^1/3L^1/3 Labour cost: w = $10       Capital rental cost: v = $160

Illustrate this optimum McMansion production choice in an isoquant diagram. Label everything.

If a non•homogeneous system of equations has one dependent row or equation, then (select all that apply): i) the RREF of the augmented matrix will have a row of zeros ii) there will be infinitely many solutions iii) the complementary homogeneous solution will have many solutions iv) the coefficient matrix will not have an inverse v) none of the above

Let Y1 and Y2 have joint pdf f(y1, y2) = (6(1−y2), if 0≤y1≤y2≤1 0, otherwise. a) Are Y1 and Y2 independent? Why? b) Find Cov(Y1, Y2). c) Find V(Y1−Y2). d) Find Var(Y1|Y2=y2).

Two 3.0 mm × 3.0 mm electrodes are held 0.10 mm apart and are attached to 7.0 V battery. Without disconnecting the battery, a 0.10-mm-thick sheet of Mylar is inserted between the electrodes.

What is the capacitor's electric field after the Mylar is inserted?

PS: 6.98*10^4 is not correct answer

Evaluate the following integral ∫ ∫ R 4x + y (3x − y) ln(3x − y) dA where R is the region bounded by the graphs of  y  =  3x − e7,  y  =  3x − e5,  y  =  −4x + 8,  and  y  =  −4x + 5. Use the change of variables  u  =  3x − y,  v  =  4x + y.